{
  "title": "Median - Grade 9 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Median is the:", "options": {"A": "Most frequent value", "B": "Middle value when arranged", "C": "Average value", "D": "First value"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "To find median, data must be:", "options": {"A": "In original order", "B": "Arranged ascending/descending", "C": "Grouped only", "D": "Ungrouped only"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "For odd number of observations, median is:", "options": {"A": "Average of two middle", "B": "Middle value", "C": "First value", "D": "Last value"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "For even number of observations, median is:", "options": {"A": "Average of two middle", "B": "Middle value", "C": "First value", "D": "Last value"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "For data: 2,4,6,8,10, median is:", "options": {"A": "4", "B": "6", "C": "8", "D": "10"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "For data: 3,7,1,9,5, median after arrangement:", "options": {"A": "3", "B": "5", "C": "7", "D": "9"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "Median is a measure of:", "options": {"A": "Central tendency", "B": "Dispersion", "C": "Correlation", "D": "Probability"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "For 7 observations, median position is:", "options": {"A": "3rd", "B": "4th", "C": "5th", "D": "6th"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "For 10 observations, median is average of:", "options": {"A": "4th and 5th", "B": "5th and 6th", "C": "6th and 7th", "D": "7th and 8th"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "Median is not affected by:", "options": {"A": "Extreme values", "B": "Middle values", "C": "Arrangement", "D": "Number of values"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "For data: 12,15,18,21,24, median:", "options": {"A": "12", "B": "15", "C": "18", "D": "21"}, "correct_answer": "C"},
    {"id": 12, "difficulty": "easy", "question": "Position of median for n observations is:", "options": {"A": "n/2", "B": "(n+1)/2", "C": "n", "D": "n-1"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "For grouped data, median is in class with cumulative frequency ≥:", "options": {"A": "n/2", "B": "n", "C": "n+1", "D": "n-1"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Data: 5,8,3,9,6. After arranging, median:", "options": {"A": "5", "B": "6", "C": "8", "D": "9"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "Median divides data into:", "options": {"A": "Two equal parts", "B": "Three equal parts", "C": "Four equal parts", "D": "Unequal parts"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "For data: 10,20,30,40,50, median:", "options": {"A": "20", "B": "30", "C": "40", "D": "25"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "If data has extreme high value, median:", "options": {"A": "Increases greatly", "B": "Decreases greatly", "C": "Unaffected", "D": "Becomes zero"}, "correct_answer": "C"},
    {"id": 18, "difficulty": "easy", "question": "For 9 values, median is at position:", "options": {"A": "4", "B": "5", "C": "6", "D": "7"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "Data: 7,5,9,3,11. Median after arranging:", "options": {"A": "5", "B": "7", "C": "9", "D": "11"}, "correct_answer": "B"},
    {"id": 20, "difficulty": "easy", "question": "Median is also called:", "options": {"A": "50th percentile", "B": "25th percentile", "C": "75th percentile", "D": "100th percentile"}, "correct_answer": "A"},
    
    {"id": 21, "difficulty": "medium", "question": "Find median: 12,15,18,21,24,27", "options": {"A": "18", "B": "19.5", "C": "21", "D": "22.5"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "Data: 25,30,35,40,45,50,55. Median?", "options": {"A": "35", "B": "40", "C": "45", "D": "50"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "Find median: 8,12,6,15,10,18,14", "options": {"A": "10", "B": "12", "C": "14", "D": "15"}, "correct_answer": "B"},
    {"id": 24, "difficulty": "medium", "question": "Data: 42,38,45,36,40,48,32. After arranging, median?", "options": {"A": "38", "B": "40", "C": "42", "D": "45"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "Find median: 5.5,6.0,4.5,7.0,5.0,6.5,5.8", "options": {"A": "5.5", "B": "5.65", "C": "5.8", "D": "6.0"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "Data: 120,150,130,140,160,110,170. Median?", "options": {"A": "130", "B": "140", "C": "150", "D": "160"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "Find median: 22,18,25,30,15,28,20,35", "options": {"A": "21", "B": "22", "C": "23.5", "D": "25"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "Data: 7,12,8,15,10,18,13,20. Median?", "options": {"A": "11", "B": "11.5", "C": "12", "D": "12.5"}, "correct_answer": "D"},
    {"id": 29, "difficulty": "medium", "question": "Find median: 45,55,35,65,40,60,50,70", "options": {"A": "47.5", "B": "50", "C": "52.5", "D": "55"}, "correct_answer": "C"},
    {"id": 30, "difficulty": "medium", "question": "Data: 3.2,4.5,2.8,5.1,3.9,4.2,3.5. After arranging, median?", "options": {"A": "3.5", "B": "3.9", "C": "4.2", "D": "4.5"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Find median: 100,120,80,140,110,130,90,150", "options": {"A": "110", "B": "115", "C": "120", "D": "125"}, "correct_answer": "B"},
    {"id": 32, "difficulty": "medium", "question": "Data: 14,18,12,22,16,20,24,10. Median?", "options": {"A": "16", "B": "17", "C": "18", "D": "19"}, "correct_answer": "B"},
    {"id": 33, "difficulty": "medium", "question": "Find median: 6,12,8,15,10,18,13,20,9", "options": {"A": "10", "B": "11", "C": "12", "D": "13"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "Data: 25,35,20,40,30,45,15,50,10. After arranging, median?", "options": {"A": "25", "B": "30", "C": "35", "D": "40"}, "correct_answer": "B"},
    {"id": 35, "difficulty": "medium", "question": "Find median: 2.5,3.0,1.8,4.2,2.0,3.5,2.8,4.0", "options": {"A": "2.65", "B": "2.8", "C": "3.0", "D": "3.25"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Data: 55,65,45,75,60,70,50,80,40. Median?", "options": {"A": "55", "B": "60", "C": "65", "D": "70"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "Find median: 12,18,15,24,20,30,22,28,16", "options": {"A": "18", "B": "20", "C": "22", "D": "24"}, "correct_answer": "B"},
    {"id": 38, "difficulty": "medium", "question": "Data: 7.5,8.2,6.8,9.0,7.0,8.5,6.5,9.5. After arranging, median?", "options": {"A": "7.5", "B": "7.85", "C": "8.0", "D": "8.2"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "Find median: 150,180,120,200,160,190,140,210,130", "options": {"A": "150", "B": "160", "C": "170", "D": "180"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "Data: 11,22,15,28,19,33,24,30,17. Median?", "options": {"A": "19", "B": "21", "C": "22", "D": "24"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "medium", "question": "Find median: 4.8,5.2,3.9,6.1,4.5,5.8,4.0,6.0", "options": {"A": "4.8", "B": "5.0", "C": "5.2", "D": "5.4"}, "correct_answer": "B"},
    {"id": 42, "difficulty": "medium", "question": "Data: 85,95,75,105,90,100,80,110,70. After arranging, median?", "options": {"A": "85", "B": "90", "C": "95", "D": "100"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "medium", "question": "Find median: 16,24,18,30,22,36,26,32,20", "options": {"A": "22", "B": "24", "C": "26", "D": "28"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "medium", "question": "Data: 3.5,4.8,2.9,5.2,3.0,4.5,2.5,5.0. Median?", "options": {"A": "3.5", "B": "3.75", "C": "4.0", "D": "4.25"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "medium", "question": "Find median: 200,250,150,300,220,280,180,320,170", "options": {"A": "200", "B": "220", "C": "250", "D": "280"}, "correct_answer": "B"},
    {"id": 46, "difficulty": "medium", "question": "Data: 9,18,12,24,15,30,21,27,6. After arranging, median?", "options": {"A": "15", "B": "18", "C": "21", "D": "24"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "medium", "question": "Find median: 6.5,7.8,5.2,8.4,6.0,7.5,5.5,8.0", "options": {"A": "6.5", "B": "6.75", "C": "7.0", "D": "7.25"}, "correct_answer": "B"},
    {"id": 48, "difficulty": "medium", "question": "Data: 44,55,33,66,40,60,36,70,50. Median?", "options": {"A": "44", "B": "47", "C": "50", "D": "55"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "medium", "question": "Find median: 18,27,21,36,24,42,30,39,15", "options": {"A": "24", "B": "27", "C": "30", "D": "33"}, "correct_answer": "B"},
    {"id": 50, "difficulty": "medium", "question": "Data: 8.5,9.2,7.8,10.1,8.0,9.5,7.5,10.0. After arranging, median?", "options": {"A": "8.5", "B": "8.75", "C": "9.0", "D": "9.25"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "medium", "question": "Find median: 120,150,100,180,130,170,110,190,140", "options": {"A": "130", "B": "140", "C": "150", "D": "160"}, "correct_answer": "B"},
    {"id": 52, "difficulty": "medium", "question": "Data: 13,26,17,32,21,28,24,30,19. Median?", "options": {"A": "21", "B": "23", "C": "24", "D": "26"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "Find median: 5.2,6.5,4.3,7.2,5.0,6.8,4.5,7.0", "options": {"A": "5.2", "B": "5.6", "C": "6.0", "D": "6.4"}, "correct_answer": "B"},
    {"id": 54, "difficulty": "medium", "question": "Data: 77,88,66,99,70,95,73,100,80. After arranging, median?", "options": {"A": "77", "B": "80", "C": "88", "D": "95"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "medium", "question": "Find median: 25,38,29,45,32,50,36,48,30", "options": {"A": "32", "B": "34", "C": "36", "D": "38"}, "correct_answer": "C"},
    {"id": 56, "difficulty": "medium", "question": "Data: 9.5,10.8,8.2,11.5,9.0,11.0,8.5,11.2. Median?", "options": {"A": "9.5", "B": "9.75", "C": "10.0", "D": "10.25"}, "correct_answer": "B"},
    {"id": 57, "difficulty": "medium", "question": "Find median: 160,200,140,240,180,220,150,260,170", "options": {"A": "170", "B": "180", "C": "190", "D": "200"}, "correct_answer": "B"},
    {"id": 58, "difficulty": "medium", "question": "Data: 14,28,18,35,22,30,25,32,20. After arranging, median?", "options": {"A": "22", "B": "24", "C": "25", "D": "28"}, "correct_answer": "C"},
    {"id": 59, "difficulty": "medium", "question": "Find median: 6.8,8.2,5.5,9.0,6.2,8.5,5.8,9.2", "options": {"A": "6.8", "B": "7.15", "C": "7.5", "D": "8.2"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "medium", "question": "Data: 99,110,88,120,95,115,92,125,100. Median?", "options": {"A": "99", "B": "100", "C": "110", "D": "115"}, "correct_answer": "B"},
    {"id": 61, "difficulty": "medium", "question": "Find median: 32,48,38,56,42,60,46,58,40", "options": {"A": "42", "B": "44", "C": "46", "D": "48"}, "correct_answer": "C"},
    {"id": 62, "difficulty": "medium", "question": "Data: 10.5,12.8,9.2,13.5,10.0,12.5,9.5,13.0. After arranging, median?", "options": {"A": "10.5", "B": "11.0", "C": "11.5", "D": "12.0"}, "correct_answer": "C"},
    {"id": 63, "difficulty": "medium", "question": "Find median: 180,220,160,260,200,240,170,280,190", "options": {"A": "190", "B": "200", "C": "210", "D": "220"}, "correct_answer": "B"},
    {"id": 64, "difficulty": "medium", "question": "Data: 17,34,22,42,28,38,31,40,25. Median?", "options": {"A": "28", "B": "30", "C": "31", "D": "34"}, "correct_answer": "C"},
    {"id": 65, "difficulty": "medium", "question": "Find median: 7.8,9.5,6.8,10.2,7.5,9.8,7.0,10.0", "options": {"A": "7.8", "B": "8.15", "C": "8.5", "D": "9.5"}, "correct_answer": "B"},
    {"id": 66, "difficulty": "medium", "question": "Data: 121,143,110,165,132,154,125,176,115. After arranging, median?", "options": {"A": "132", "B": "143", "C": "154", "D": "165"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "Find median: 45,68,52,75,58,80,62,78,55", "options": {"A": "58", "B": "60", "C": "62", "D": "68"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "Data: 11.8,14.2,10.2,15.0,11.5,14.5,10.8,15.2. Median?", "options": {"A": "11.8", "B": "12.15", "C": "12.5", "D": "14.2"}, "correct_answer": "C"},
    {"id": 69, "difficulty": "medium", "question": "Find median: 240,300,210,360,270,330,230,380,250", "options": {"A": "250", "B": "270", "C": "300", "D": "330"}, "correct_answer": "B"},
    {"id": 70, "difficulty": "medium", "question": "Data: 19,38,25,46,31,42,35,44,28. After arranging, median?", "options": {"A": "31", "B": "34", "C": "35", "D": "38"}, "correct_answer": "C"},
    {"id": 71, "difficulty": "medium", "question": "Find median: 8.9,10.8,7.8,11.5,8.5,11.0,8.0,11.2", "options": {"A": "8.9", "B": "9.2", "C": "9.5", "D": "10.8"}, "correct_answer": "C"},
    {"id": 72, "difficulty": "medium", "question": "Data: 132,165,120,180,144,172,136,188,128. Median?", "options": {"A": "136", "B": "144", "C": "165", "D": "172"}, "correct_answer": "B"},
    {"id": 73, "difficulty": "medium", "question": "Find median: 55,82,64,90,70,96,76,94,68", "options": {"A": "70", "B": "73", "C": "76", "D": "82"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "Data: 13.2,16.5,11.8,17.2,12.5,16.8,12.0,17.0. After arranging, median?", "options": {"A": "13.2", "B": "13.85", "C": "14.5", "D": "16.5"}, "correct_answer": "C"},
    {"id": 75, "difficulty": "medium", "question": "Find median: 300,380,270,420,330,400,290,440,310", "options": {"A": "310", "B": "330", "C": "380", "D": "400"}, "correct_answer": "B"},
    {"id": 76, "difficulty": "medium", "question": "Data: 23,46,30,54,37,50,42,52,35. Median?", "options": {"A": "37", "B": "40", "C": "42", "D": "46"}, "correct_answer": "C"},
    {"id": 77, "difficulty": "medium", "question": "Find median: 10.2,12.8,9.2,13.5,10.0,12.5,9.5,13.0", "options": {"A": "10.2", "B": "10.6", "C": "11.0", "D": "12.5"}, "correct_answer": "C"},
    {"id": 78, "difficulty": "medium", "question": "Data: 154,192,140,210,168,200,152,220,160. After arranging, median?", "options": {"A": "160", "B": "168", "C": "192", "D": "200"}, "correct_answer": "B"},
    {"id": 79, "difficulty": "medium", "question": "Find median: 68,102,78,115,85,120,92,118,80", "options": {"A": "85", "B": "88", "C": "92", "D": "102"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "medium", "question": "Data: 15.8,19.2,14.0,20.5,16.5,19.8,15.0,20.2. Median?", "options": {"A": "16.5", "B": "17.15", "C": "17.8", "D": "19.2"}, "correct_answer": "B"},
    
    {"id": 81, "difficulty": "hard", "question": "For grouped data with median class 30-40, cf before=25, f=20, h=10, n=60. Median?", "options": {"A": "32.5", "B": "33.5", "C": "34.5", "D": "35.5"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Find median: 12,15,18,12,20,15,18,12,15,20,18,12", "options": {"A": "14", "B": "15", "C": "16", "D": "17"}, "correct_answer": "B"},
    {"id": 83, "difficulty": "hard", "question": "For frequency distribution: Value:10 Freq:3, Value:20 Freq:5, Value:30 Freq:7, Value:40 Freq:4. Median?", "options": {"A": "25", "B": "27.5", "C": "30", "D": "32.5"}, "correct_answer": "C"},
    {"id": 84, "difficulty": "hard", "question": "Median class has lower limit 40, cf before=30, f=25, h=10, n=80. Median?", "options": {"A": "42", "B": "44", "C": "46", "D": "48"}, "correct_answer": "B"},
    {"id": 85, "difficulty": "hard", "question": "Data: 25,30,35,40,25,30,35,25,40,30,35,25,30. After arranging, median?", "options": {"A": "30", "B": "31", "C": "32", "D": "33"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "For grouped data: 10-20:5,20-30:12,30-40:18,40-50:10,50-60:5. Median class?", "options": {"A": "20-30", "B": "30-40", "C": "40-50", "D": "50-60"}, "correct_answer": "B"},
    {"id": 87, "difficulty": "hard", "question": "If median=35 and mean=40, distribution is likely:", "options": {"A": "Symmetric", "B": "Positively skewed", "C": "Negatively skewed", "D": "Uniform"}, "correct_answer": "B"},
    {"id": 88, "difficulty": "hard", "question": "For data: 5,10,15,20,25 each appearing 4 times, median?", "options": {"A": "10", "B": "15", "C": "20", "D": "12.5"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "Median class: 40-50, cf before=35, f=28, h=10, n=100. Median?", "options": {"A": "44.64", "B": "45.36", "C": "46.07", "D": "47.14"}, "correct_answer": "C"},
    {"id": 90, "difficulty": "hard", "question": "Data: 18,22,25,30,18,25,22,30,18,25,22,18. After arranging, median?", "options": {"A": "21", "B": "22", "C": "23", "D": "24"}, "correct_answer": "B"},
    {"id": 91, "difficulty": "hard", "question": "For grouped data with unequal class widths, median:", "options": {"A": "Cannot be found", "B": "Found similarly", "C": "Needs adjustment", "D": "Is approximate"}, "correct_answer": "D"},
    {"id": 92, "difficulty": "hard", "question": "If in grouped data, median falls in first class, cf before=0, then:", "options": {"A": "Median in that class", "B": "Median at lower limit", "C": "Need more info", "D": "Cannot determine"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "Data has mean=45, median=42, mode=40. Distribution is:", "options": {"A": "Symmetric", "B": "Positively skewed", "C": "Negatively skewed", "D": "Bimodal"}, "correct_answer": "B"},
    {"id": 94, "difficulty": "hard", "question": "For continuous data, median divides area under curve into:", "options": {"A": "Two equal parts", "B": "Three equal parts", "C": "Four equal parts", "D": "Unequal parts"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "If median < mean < mode, distribution is:", "options": {"A": "Symmetric", "B": "Positively skewed", "C": "Negatively skewed", "D": "Uniform"}, "correct_answer": "C"},
    {"id": 96, "difficulty": "hard", "question": "For symmetric distribution, median equals:", "options": {"A": "Mean", "B": "Mode", "C": "Both A and B", "D": "Neither"}, "correct_answer": "C"},
    {"id": 97, "difficulty": "hard", "question": "Median for grouped data formula: Median = L + [(n/2 - cf)/f]×h. L is:", "options": {"A": "Lower limit of median class", "B": "Upper limit", "C": "Class mark", "D": "Class width"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "If all classes have same frequency, median:", "options": {"A": "In middle class", "B": "At class mark of middle", "C": "Both A and B", "D": "Cannot determine"}, "correct_answer": "C"},
    {"id": 99, "difficulty": "hard", "question": "Quartiles divide data into 4 parts. Median is:", "options": {"A": "Q1", "B": "Q2", "C": "Q3", "D": "Q4"}, "correct_answer": "B"},
    {"id": 100, "difficulty": "hard", "question": "For perfectly symmetric bell curve, median is at:", "options": {"A": "Peak", "B": "Left tail", "C": "Right tail", "D": "Inflection point"}, "correct_answer": "A"}
  ]
}