{
  "title": "Interpreting Bar Graphs (Data Handling) - Grade 6 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What does the tallest bar in a bar graph usually indicate?", "options": {"A": "Highest value", "B": "Lowest value", "C": "Average value", "D": "Middle value"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "What does the shortest bar in a bar graph usually indicate?", "options": {"A": "Lowest value", "B": "Highest value", "C": "Average value", "D": "Middle value"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "How do you find which category has the most items in a bar graph?", "options": {"A": "Look for tallest bar", "B": "Look for shortest bar", "C": "Count all bars", "D": "Read the title"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "If a bar reaches halfway between 20 and 40, what is its value?", "options": {"A": "25", "B": "30", "C": "35", "D": "40"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "What does comparing bar heights help us understand?", "options": {"A": "Differences between categories", "B": "Similarities", "C": "Averages", "D": "All of these"}, "correct_answer": "D"},
    {"id": 6, "difficulty": "easy", "question": "How do you read the value of a bar?", "options": {"A": "See where top meets scale", "B": "Measure height", "C": "Count lines", "D": "All of these"}, "correct_answer": "D"},
    {"id": 7, "difficulty": "easy", "question": "What should you check first when interpreting a bar graph?", "options": {"A": "Title and labels", "B": "Bar colors", "C": "Graph size", "D": "Background color"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "What does the x-axis label tell you?", "options": {"A": "What categories are shown", "B": "What values bars represent", "C": "Graph title", "D": "Source of data"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "What does the y-axis label tell you?", "options": {"A": "What values bars represent", "B": "Categories shown", "C": "Graph title", "D": "Author name"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "If scale is 1 unit = 10 people, and bar is at 3 units, how many people?", "options": {"A": "3", "B": "10", "C": "30", "D": "13"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "What is the difference between two bars called?", "options": {"A": "Gap", "B": "Difference", "C": "Range", "D": "All of these"}, "correct_answer": "D"},
    {"id": 12, "difficulty": "easy", "question": "How do you find total from a bar graph?", "options": {"A": "Add all bar values", "B": "Multiply highest and lowest", "C": "Count bars", "D": "Read scale"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "What does it mean if two bars are same height?", "options": {"A": "Equal values", "B": "Same category", "C": "Mistake", "D": "No difference"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "How do you find average from bar graph?", "options": {"A": "Total divided by number of bars", "B": "Highest minus lowest", "C": "Middle bar value", "D": "Sum of first and last divided by 2"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "What does a steep increase between bars show?", "options": {"A": "Large difference", "B": "Small difference", "C": "No change", "D": "Error"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "What does a small difference between bars show?", "options": {"A": "Similar values", "B": "Large difference", "C": "No relationship", "D": "Mistake"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "How do you find which is most popular from bar graph?", "options": {"A": "Tallest bar", "B": "Shortest bar", "C": "Middle bar", "D": "Any bar"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "What does it mean if bars get progressively taller?", "options": {"A": "Increasing trend", "B": "Decreasing trend", "C": "No trend", "D": "Random values"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "What does it mean if bars get progressively shorter?", "options": {"A": "Decreasing trend", "B": "Increasing trend", "C": "No trend", "D": "Equal values"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Why is scale important in interpretation?", "options": {"A": "To read values correctly", "B": "To compare accurately", "C": "Both A and B", "D": "Neither"}, "correct_answer": "C"},
    {"id": 21, "difficulty": "medium", "question": "Bar graph shows: Math-85, Science-78, English-92, Hindi-80. Which subject has highest marks?", "options": {"A": "Math", "B": "Science", "C": "English", "D": "Hindi"}, "correct_answer": "C"},
    {"id": 22, "difficulty": "medium", "question": "Bar graph shows sales: Jan-40K, Feb-60K, Mar-55K, Apr-75K. What is percentage increase from Jan to Apr?", "options": {"A": "87.5%", "B": "90%", "C": "92.5%", "D": "95%"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Bar graph shows temperatures: Day1-30, Day2-32, Day3-28, Day4-31, Day5-29. What is range?", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 24, "difficulty": "medium", "question": "Bar graph shows favorite fruits: Apple-25, Orange-20, Banana-30, Mango-35. What fraction prefer Mango?", "options": {"A": "7/22", "B": "7/20", "C": "1/3", "D": "2/5"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "Bar graph shows test scores: 60-5 students, 70-8, 80-12, 90-10. How many students total?", "options": {"A": "30", "B": "35", "C": "40", "D": "45"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "Bar graph shows distances: Home-School-5km, School-Park-3km, Park-Mall-4km, Mall-Home-6km. Total trip Home-School-Park-Mall-Home?", "options": {"A": "16km", "B": "17km", "C": "18km", "D": "19km"}, "correct_answer": "C"},
    {"id": 27, "difficulty": "medium", "question": "Bar graph shows ages: 10y-15, 11y-20, 12y-25, 13y-30. Average age?", "options": {"A": "11.5", "B": "11.7", "C": "11.9", "D": "12.1"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "Bar graph shows expenses: Rent-₹12000, Food-₹8000, Travel-₹5000, Others-₹3000. What percentage for Travel?", "options": {"A": "15%", "B": "17.5%", "C": "20%", "D": "22.5%"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "Bar graph shows speeds: Car-60, Bike-40, Bus-50, Train-80. What is mean speed?", "options": {"A": "55", "B": "57.5", "C": "60", "D": "62.5"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "Bar graph shows production: Factory A-500, B-600, C-550, D-450. Total production?", "options": {"A": "2000", "B": "2100", "C": "2200", "D": "2300"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Bar graph shows rainfall: Jan-50mm, Feb-40mm, Mar-60mm, Apr-30mm. Which month had 50% more than Feb?", "options": {"A": "Jan", "B": "Mar", "C": "Apr", "D": "None"}, "correct_answer": "B"},
    {"id": 32, "difficulty": "medium", "question": "Bar graph shows population: City A-2L, B-3L, C-2.5L, D-1.5L. Difference between largest and smallest?", "options": {"A": "1L", "B": "1.5L", "C": "2L", "D": "2.5L"}, "correct_answer": "B"},
    {"id": 33, "difficulty": "medium", "question": "Bar graph shows weights: Box A-20kg, B-25kg, C-30kg, D-15kg. Median weight?", "options": {"A": "20kg", "B": "22.5kg", "C": "25kg", "D": "27.5kg"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "Bar graph shows prices: Item A-₹50, B-₹75, C-₹60, D-₹85. Range of prices?", "options": {"A": "₹25", "B": "₹30", "C": "₹35", "D": "₹40"}, "correct_answer": "C"},
    {"id": 35, "difficulty": "medium", "question": "Bar graph shows attendance: Mon-95%, Tue-90%, Wed-85%, Thu-92%, Fri-88%. Day with lowest attendance?", "options": {"A": "Mon", "B": "Wed", "C": "Thu", "D": "Fri"}, "correct_answer": "B"},
    {"id": 36, "difficulty": "medium", "question": "Bar graph shows scores: Team A-180, B-200, C-190, D-210. Which team scored 10% more than A?", "options": {"A": "B", "B": "C", "C": "D", "D": "None"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "Bar graph shows temperatures: 8am-20°C, 12pm-28°C, 4pm-26°C, 8pm-22°C. When was temperature 30% above 8am?", "options": {"A": "12pm", "B": "4pm", "C": "8pm", "D": "None"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Bar graph shows profits: Q1-50K, Q2-60K, Q3-55K, Q4-65K. Quarter with 20% increase over Q1?", "options": {"A": "Q2", "B": "Q3", "C": "Q4", "D": "None"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Bar graph shows distances: Delhi-Mumbai-1400km, Mumbai-Chennai-1300km, Chennai-Kolkata-1600km. Total Delhi-Mumbai-Chennai?", "options": {"A": "2700km", "B": "2800km", "C": "2900km", "D": "3000km"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Bar graph shows marks: Rohan-85, Priya-90, Amit-75, Seema-80. Who scored 15% less than Priya?", "options": {"A": "Rohan", "B": "Amit", "C": "Seema", "D": "None"}, "correct_answer": "B"},
    {"id": 41, "difficulty": "medium", "question": "Bar graph shows sales growth: 2018-100, 2019-120, 2020-110, 2021-130. Year with 10% drop from previous?", "options": {"A": "2019", "B": "2020", "C": "2021", "D": "None"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "medium", "question": "Bar graph shows heights: Plant A-30cm, B-45cm, C-35cm, D-40cm. Ratio of tallest to shortest?", "options": {"A": "2:3", "B": "3:2", "C": "4:3", "D": "3:4"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "medium", "question": "Bar graph shows runs: Match1-250, Match2-280, Match3-240, Match4-270. Average runs?", "options": {"A": "255", "B": "260", "C": "265", "D": "270"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "medium", "question": "Bar graph shows expenses: Food-40%, Rent-30%, Travel-20%, Others-10%. If total ₹30000, Rent amount?", "options": {"A": "₹8000", "B": "₹9000", "C": "₹10000", "D": "₹11000"}, "correct_answer": "B"},
    {"id": 45, "difficulty": "medium", "question": "Bar graph shows speeds: 40km/h-10 cars, 50km/h-15, 60km/h-20, 70km/h-5. Total cars?", "options": {"A": "45", "B": "50", "C": "55", "D": "60"}, "correct_answer": "B"},
    {"id": 46, "difficulty": "medium", "question": "Bar graph shows rainfall comparison: 2020-100cm, 2021-120cm, 2022-90cm. Percentage change 2020-2022?", "options": {"A": "-5%", "B": "-10%", "C": "-15%", "D": "-20%"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "medium", "question": "Bar graph shows ages: 20-25:30, 26-30:40, 31-35:35, 36-40:25. People under 31?", "options": {"A": "60", "B": "65", "C": "70", "D": "75"}, "correct_answer": "C"},
    {"id": 48, "difficulty": "medium", "question": "Bar graph shows prices rising: Year1-100, Year2-110, Year3-121, Year4-133.1. What is annual growth rate?", "options": {"A": "8%", "B": "9%", "C": "10%", "D": "11%"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "medium", "question": "Bar graph shows test scores distribution. If median is 75 and mean is 78, what might distribution be?", "options": {"A": "Right-skewed", "B": "Left-skewed", "C": "Symmetric", "D": "Random"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "Bar graph shows bimodal distribution. What does this mean?", "options": {"A": "Two peaks", "B": "One peak", "C": "No peak", "D": "Flat"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "Bar graph shows normal distribution. Where is mode?", "options": {"A": "At peak", "B": "At left", "C": "At right", "D": "Cannot tell"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "Bar graph shows exponential growth. What pattern?", "options": {"A": "Increasing at increasing rate", "B": "Increasing at constant rate", "C": "Decreasing", "D": "Cyclic"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "Bar graph shows seasonal pattern. What would you see?", "options": {"A": "Regular ups and downs", "B": "Constant trend", "C": "Random", "D": "Steady increase"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "Bar graph with error bars. What do longer error bars indicate?", "options": {"A": "More uncertainty", "B": "Less uncertainty", "C": "Higher value", "D": "Lower value"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "Double bar graph compares boys/girls preferences. If blue bar taller for boys, red taller for girls, what can you conclude?", "options": {"A": "Boys prefer blue more", "B": "Girls prefer red more", "C": "Both A and B", "D": "Cannot conclude"}, "correct_answer": "C"},
    {"id": 56, "difficulty": "medium", "question": "Stacked bar graph shows components. If total bar same height, but segments different, what differs?", "options": {"A": "Composition", "B": "Total value", "C": "Both", "D": "Neither"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "Bar graph shows percentages totaling 100%. What type of graph?", "options": {"A": "Percentage bar graph", "B": "Regular bar graph", "C": "Histogram", "D": "Any bar graph"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "Bar graph with secondary y-axis. Why used?", "options": {"A": "Different scales for different data", "B": "Mistake", "C": "Decoration", "D": "No reason"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "Bar graph shows correlation with line graph. What does line show?", "options": {"A": "Trend", "B": "Average", "C": "Target", "D": "Any of these"}, "correct_answer": "D"},
    {"id": 60, "difficulty": "medium", "question": "Bar graph with confidence intervals. If intervals overlap, what might be true?", "options": {"A": "Difference may not be significant", "B": "No difference", "C": "Large difference", "D": "Error in data"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "hard", "question": "Bar graph shows log-transformed data. Why interpret differently?", "options": {"A": "Equal differences represent equal ratios", "B": "Linear scale", "C": "No difference", "D": "Harder to read"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "hard", "question": "Bar graph with cumulative percentage. What does 50% point show?", "options": {"A": "Median", "B": "Mean", "C": "Mode", "D": "Range"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "hard", "question": "Bar graph shows Pareto distribution. What pattern?", "options": {"A": "Few categories have most values", "B": "Equal distribution", "C": "Normal distribution", "D": "Random"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "hard", "question": "Bar graph with box plot overlay. What additional information?", "options": {"A": "Distribution spread", "B": "Outliers", "C": "Median", "D": "All of these"}, "correct_answer": "D"},
    {"id": 65, "difficulty": "hard", "question": "Bar graph shows statistical significance with asterisks. What does * typically mean?", "options": {"A": "p<0.05", "B": "p<0.01", "C": "p<0.001", "D": "Depends on convention"}, "correct_answer": "D"},
    {"id": 66, "difficulty": "hard", "question": "Bar graph with density curve overlay. What shown together?", "options": {"A": "Histogram and probability density", "B": "Bars and line", "C": "Both A and B", "D": "Neither"}, "correct_answer": "C"},
    {"id": 67, "difficulty": "hard", "question": "Bar graph shows before-after data. How assess effect?", "options": {"A": "Compare height changes", "B": "Calculate differences", "C": "Both", "D": "Neither"}, "correct_answer": "C"},
    {"id": 68, "difficulty": "hard", "question": "Bar graph with regression line. What does slope indicate?", "options": {"A": "Rate of change", "B": "Relationship", "C": "Trend", "D": "All of these"}, "correct_answer": "D"},
    {"id": 69, "difficulty": "hard", "question": "Bar graph shows interaction effect. What to look for?", "options": {"A": "Different patterns across groups", "B": "Simple differences", "C": "Total values", "D": "Averages"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "hard", "question": "Bar graph with standard deviation bars. What do they show?", "options": {"A": "Spread of data", "B": "Uncertainty of mean", "C": "Both", "D": "Neither"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "hard", "question": "Bar graph shows non-normal distribution. What caution in interpretation?", "options": {"A": "Mean may be misleading", "B": "Use median instead", "C": "Check for outliers", "D": "All of these"}, "correct_answer": "D"},
    {"id": 72, "difficulty": "hard", "question": "Bar graph with truncated y-axis. What might be misleading?", "options": {"A": "Exaggerated differences", "B": "Understated differences", "C": "Both", "D": "Neither"}, "correct_answer": "A"},
    {"id": 73, "difficulty": "hard", "question": "Bar graph shows Simpson's paradox. What apparent?", "options": {"A": "Reversal when aggregated", "B": "Clear trend", "C": "No pattern", "D": "Simple relationship"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "hard", "question": "Bar graph with weighted data. How interpret?", "options": {"A": "Consider weights in comparisons", "B": "Ignore weights", "C": "Only look at heights", "D": "Cannot interpret"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "hard", "question": "Bar graph shows predictive intervals. What range?", "options": {"A": "Where future values may fall", "B": "Where mean lies", "C": "Historical range", "D": "Error range"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "hard", "question": "Bar graph with Bayesian credible intervals. Interpretation?", "options": {"A": "Probability parameter in interval", "B": "Frequency interpretation", "C": "Both", "D": "Neither"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "hard", "question": "Bar graph shows effect sizes. What do Cohen's d values mean?", "options": {"A": "Small:0.2, Medium:0.5, Large:0.8", "B": "Arbitrary", "C": "Percentage", "D": "Standard units"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "hard", "question": "Bar graph with multiple comparison adjustments. Why needed?", "options": {"A": "Control Type I error", "B": "Increase power", "C": "Simplify", "D": "Decorate"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "hard", "question": "Bar graph shows time-to-event data. Special interpretation?", "options": {"A": "Censoring may be present", "B": "Standard interpretation", "C": "Ignore time aspect", "D": "Simple counts"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "hard", "question": "Bar graph with cluster-robust standard errors. When appropriate?", "options": {"A": "Data clustered naturally", "B": "Independent data", "C": "Any data", "D": "Small samples"}, "correct_answer": "A"},
    {"id": 81, "difficulty": "hard", "question": "Bar graph shows propensity score matching results. What shown?", "options": {"A": "Treatment effect after matching", "B": "Raw differences", "C": "Simple comparison", "D": "Total values"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Bar graph with instrumental variable estimates. Interpretation?", "options": {"A": "Causal effect under assumptions", "B": "Correlation", "C": "Simple relationship", "D": "Descriptive only"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "Bar graph shows difference-in-differences. What calculated?", "options": {"A": "Change in changes", "B": "Simple before-after", "C": "Cross-sectional difference", "D": "Average difference"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "Bar graph with regression discontinuity. What shown at cutoff?", "options": {"A": "Discontinuity indicates effect", "B": "Smooth transition", "C": "No information", "D": "Error"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "Bar graph shows meta-analysis results. What do bars represent?", "options": {"A": "Effect sizes from studies", "B": "Raw data", "C": "Simple counts", "D": "Percentages"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "Bar graph with funnel plot. What checks?", "options": {"A": "Publication bias", "B": "Effect size", "C": "Sample size", "D": "All of these"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "Bar graph shows sensitivity analysis. What varied?", "options": {"A": "Assumptions to check robustness", "B": "Data collection", "C": "Graph style", "D": "Colors"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "Bar graph with Bayesian posterior distributions. What shown?", "options": {"A": "Probability after seeing data", "B": "Frequency", "C": "Prior belief", "D": "Simple data"}, "correct_answer": "A"},
    {"id": 89, "difficulty": "hard", "question": "Bar graph shows machine learning feature importance. Interpretation?", "options": {"A": "Which variables most predictive", "B": "Correlation", "C": "Causation", "D": "Data values"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "Bar graph with SHAP values. What explained?", "options": {"A": "Feature contribution to prediction", "B": "Raw importance", "C": "Simple weights", "D": "Data distribution"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "Bar graph shows propensity score distribution. What check?", "options": {"A": "Balance between groups", "B": "Overlap", "C": "Both", "D": "Neither"}, "correct_answer": "C"},
    {"id": 92, "difficulty": "hard", "question": "Bar graph with Bonferroni correction. What adjusted?", "options": {"A": "p-values for multiple tests", "B": "Effect sizes", "C": "Sample sizes", "D": "Graph scale"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "Bar graph shows heteroskedasticity-robust errors. When needed?", "options": {"A": "Unequal variances", "B": "Equal variances", "C": "Small samples", "D": "Large samples"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "Bar graph with autocorrelation correction. For what data?", "options": {"A": "Time series", "B": "Cross-sectional", "C": "Both", "D": "Neither"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "Bar graph shows power analysis results. What determined?", "options": {"A": "Sample size needed", "B": "Effect detectable", "C": "Both", "D": "Neither"}, "correct_answer": "C"},
    {"id": 96, "difficulty": "hard", "question": "Bar graph with propensity score weighting. What achieved?", "options": {"A": "Balance covariate distribution", "B": "Increase sample", "C": "Simplify analysis", "D": "Pretty graph"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "Bar graph shows synthetic control results. What compared?", "options": {"A": "Treated vs synthetic control", "B": "Before vs after", "C": "Treatment vs control", "D": "All groups"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "Bar graph with random effects vs fixed effects. Difference?", "options": {"A": "Assumptions about parameters", "B": "Graph style", "C": "Data type", "D": "Colors used"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "Bar graph shows principal component loadings. Interpretation?", "options": {"A": "Variable contribution to components", "B": "Simple values", "C": "Correlations", "D": "Data points"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "Bar graph with propensity score stratification. What done?", "options": {"A": "Group by propensity score quintiles", "B": "Simple grouping", "C": "Random grouping", "D": "Color coding"}, "correct_answer": "A"}
  ,
{"id":101,"difficulty":"easy","question":"Which bar represents the maximum value in a bar graph?","options":{"A":"Tallest bar","B":"Shortest bar","C":"Middle bar","D":"Any bar"},"correct_answer":"A"},
  {"id":102,"difficulty":"easy","question":"Which bar shows the least value?","options":{"A":"Tallest bar","B":"Shortest bar","C":"Last bar","D":"First bar"},"correct_answer":"B"},
  {"id":103,"difficulty":"easy","question":"If two bars are equal in height, what does it mean?","options":{"A":"Equal values","B":"Equal categories","C":"Error in graph","D":"No data"},"correct_answer":"A"},
  {"id":104,"difficulty":"easy","question":"If one bar is higher than another, what can you say?","options":{"A":"It has more value","B":"It has less value","C":"They are equal","D":"Cannot compare"},"correct_answer":"A"},
  {"id":105,"difficulty":"easy","question":"Which axis helps you read the value of a bar?","options":{"A":"X-axis","B":"Y-axis","C":"Both","D":"None"},"correct_answer":"B"},
  {"id":106,"difficulty":"easy","question":"What does reading a bar graph mainly involve?","options":{"A":"Counting bars","B":"Comparing heights","C":"Drawing bars","D":"Coloring bars"},"correct_answer":"B"},
  {"id":107,"difficulty":"easy","question":"If scale shows 1 unit = 5 items and bar is at 4 units, value is?","options":{"A":"9","B":"15","C":"20","D":"25"},"correct_answer":"C"},
  {"id":108,"difficulty":"easy","question":"What does a sudden increase in bar height indicate?","options":{"A":"Big change","B":"No change","C":"Error","D":"Average"},"correct_answer":"A"},
  {"id":109,"difficulty":"easy","question":"What does a small difference in bar heights indicate?","options":{"A":"Similar values","B":"Large values","C":"No data","D":"Mistake"},"correct_answer":"A"},
  {"id":110,"difficulty":"easy","question":"To interpret a bar graph correctly, what must be checked?","options":{"A":"Scale","B":"Labels","C":"Title","D":"All of these"},"correct_answer":"D"},
  {"id":111,"difficulty":"easy","question":"What helps you find total value in a bar graph?","options":{"A":"Subtract bars","B":"Add all bars","C":"Multiply bars","D":"Count bars"},"correct_answer":"B"},
  {"id":112,"difficulty":"easy","question":"If bars increase from left to right, what trend is shown?","options":{"A":"Increasing","B":"Decreasing","C":"Constant","D":"Random"},"correct_answer":"A"},
  {"id":113,"difficulty":"easy","question":"If bars decrease from left to right, what trend is shown?","options":{"A":"Increasing","B":"Decreasing","C":"Equal","D":"Random"},"correct_answer":"B"},
  {"id":114,"difficulty":"easy","question":"Which bar shows the most popular category?","options":{"A":"Tallest","B":"Shortest","C":"Middle","D":"Last"},"correct_answer":"A"},
  {"id":115,"difficulty":"easy","question":"Why is scale important in bar graph interpretation?","options":{"A":"To read values correctly","B":"To decorate graph","C":"To color bars","D":"To count bars"},"correct_answer":"A"},
  {"id":116,"difficulty":"easy","question":"Which part of bar graph shows categories?","options":{"A":"Y-axis","B":"X-axis","C":"Scale","D":"Title"},"correct_answer":"B"},
  {"id":117,"difficulty":"easy","question":"What is the meaning of equal spacing between bars?","options":{"A":"Uniform display","B":"Equal values","C":"Equal categories","D":"Error"},"correct_answer":"A"},
  {"id":118,"difficulty":"easy","question":"Which bar graph feature helps comparison?","options":{"A":"Bar height","B":"Bar color","C":"Bar width","D":"Bar shape"},"correct_answer":"A"},
  {"id":119,"difficulty":"easy","question":"What does the title of a bar graph tell you?","options":{"A":"What data is shown","B":"How to draw graph","C":"Scale used","D":"Number of bars"},"correct_answer":"A"},
  {"id":120,"difficulty":"easy","question":"What does reading between bars help you find?","options":{"A":"Difference","B":"Total","C":"Average","D":"Scale"},"correct_answer":"A"},

  {"id":121,"difficulty":"medium","question":"Bar graph shows marks: 70, 80, 90, 60. What is the range?","options":{"A":"20","B":"25","C":"30","D":"35"},"correct_answer":"C"},
  {"id":122,"difficulty":"medium","question":"If total students are 40 and one bar shows 10 students, what fraction is this?","options":{"A":"1/2","B":"1/3","C":"1/4","D":"1/5"},"correct_answer":"C"},
  {"id":123,"difficulty":"medium","question":"Bar graph shows scores: A-50, B-70, C-60, D-80. Which is 20 more than A?","options":{"A":"B","B":"C","C":"D","D":"None"},"correct_answer":"B"},
  {"id":124,"difficulty":"medium","question":"If bar heights are 15, 25, 35, 45, what is average?","options":{"A":"25","B":"30","C":"35","D":"40"},"correct_answer":"B"},
  {"id":125,"difficulty":"medium","question":"Bar graph shows expenses: Food-₹2000, Rent-₹3000, Travel-₹1000. Total expense?","options":{"A":"₹5000","B":"₹6000","C":"₹7000","D":"₹8000"},"correct_answer":"B"},
  {"id":126,"difficulty":"medium","question":"If scale is 1 unit = 10 kg and bar reaches 6 units, weight is?","options":{"A":"50","B":"60","C":"70","D":"80"},"correct_answer":"B"},
  {"id":127,"difficulty":"medium","question":"Which bar represents median in values 10, 20, 30, 40, 50?","options":{"A":"10","B":"20","C":"30","D":"40"},"correct_answer":"C"},
  {"id":128,"difficulty":"medium","question":"Bar graph shows population: 2L, 3L, 4L, 1L. Difference between highest and lowest?","options":{"A":"2L","B":"3L","C":"4L","D":"5L"},"correct_answer":"B"},
  {"id":129,"difficulty":"medium","question":"Bar graph shows runs: 120, 150, 180, 210. What is mean?","options":{"A":"160","B":"165","C":"170","D":"180"},"correct_answer":"C"},
  {"id":130,"difficulty":"medium","question":"If one bar is twice another, what does it mean?","options":{"A":"Double value","B":"Double category","C":"Double width","D":"No relation"},"correct_answer":"A"},

  {"id":131,"difficulty":"hard","question":"Bar graph shows scores: 65, 75, 85, 95. What is standard range?","options":{"A":"20","B":"25","C":"30","D":"35"},"correct_answer":"C"},
  {"id":132,"difficulty":"hard","question":"If scale starts at 20 instead of 0, what risk exists?","options":{"A":"Exaggerated differences","B":"Hidden data","C":"Equal bars","D":"No risk"},"correct_answer":"A"},
  {"id":133,"difficulty":"hard","question":"Bar graph shows values: 40, 60, 80, 100. What is mean?","options":{"A":"65","B":"70","C":"75","D":"80"},"correct_answer":"C"},
  {"id":134,"difficulty":"hard","question":"Which bar graph best compares boys and girls together?","options":{"A":"Simple bar graph","B":"Double bar graph","C":"Histogram","D":"Line graph"},"correct_answer":"B"},
  {"id":135,"difficulty":"hard","question":"Bar graph with touching bars represents what?","options":{"A":"Histogram","B":"Double bar graph","C":"Pie chart","D":"Line graph"},"correct_answer":"A"},
  {"id":136,"difficulty":"hard","question":"Bar graph shows growth: 100, 120, 144. What type of growth?","options":{"A":"Linear","B":"Exponential","C":"Random","D":"Decreasing"},"correct_answer":"B"},
  {"id":137,"difficulty":"hard","question":"If median is less than mean, distribution is?","options":{"A":"Left-skewed","B":"Right-skewed","C":"Symmetric","D":"Uniform"},"correct_answer":"B"},
  {"id":138,"difficulty":"hard","question":"Bar graph shows profits: 20, 40, 60, 80. Percentage increase from first to last?","options":{"A":"200%","B":"250%","C":"300%","D":"350%"},"correct_answer":"C"},
  {"id":139,"difficulty":"hard","question":"Bar graph shows data with two peaks. What is it called?","options":{"A":"Uniform","B":"Bimodal","C":"Skewed","D":"Normal"},"correct_answer":"B"},
  {"id":140,"difficulty":"hard","question":"Which graph is misleading if scale is uneven?","options":{"A":"Bar graph","B":"Line graph","C":"Pie chart","D":"Table"},"correct_answer":"A"},
  {"id":141,"difficulty":"hard","question":"Bar graph shows average but wide variation. What should be checked?","options":{"A":"Range","B":"Median","C":"Outliers","D":"All of these"},"correct_answer":"D"},
  {"id":142,"difficulty":"hard","question":"If two bars overlap in error bars, what may be true?","options":{"A":"No significant difference","B":"Large difference","C":"Equal means","D":"Wrong data"},"correct_answer":"A"},
  {"id":143,"difficulty":"hard","question":"Bar graph with trend line shows what?","options":{"A":"General pattern","B":"Exact values","C":"Categories","D":"Scale"},"correct_answer":"A"},
  {"id":144,"difficulty":"hard","question":"Bar graph shows time-based data. What else helps interpretation?","options":{"A":"Line graph","B":"Pie chart","C":"Histogram","D":"Table"},"correct_answer":"A"},
  {"id":145,"difficulty":"hard","question":"Bar graph shows unequal sample sizes. What caution?","options":{"A":"Compare carefully","B":"Ignore differences","C":"Only totals matter","D":"Scale solves it"},"correct_answer":"A"},
  {"id":146,"difficulty":"hard","question":"Bar graph shows before-after results. Best comparison method?","options":{"A":"Difference in heights","B":"Ratio","C":"Visual only","D":"Ignore scale"},"correct_answer":"A"},
  {"id":147,"difficulty":"hard","question":"Bar graph shows percentages summing to more than 100%. What issue?","options":{"A":"Incorrect data","B":"Overlapping categories","C":"Both","D":"None"},"correct_answer":"C"},
  {"id":148,"difficulty":"hard","question":"Bar graph shows decreasing trend but last bar spikes. What check?","options":{"A":"Outlier","B":"Scale error","C":"Data entry","D":"All of these"},"correct_answer":"D"},
  {"id":149,"difficulty":"hard","question":"Bar graph compares groups across years. What graph helps trend?","options":{"A":"Line graph","B":"Pie chart","C":"Histogram","D":"Table"},"correct_answer":"A"},
  {"id":150,"difficulty":"hard","question":"Which feature is most critical for correct interpretation?","options":{"A":"Scale","B":"Color","C":"Design","D":"Font"},"correct_answer":"A"}
]
}