Case Study 1: Marks in Examination
A class teacher recorded marks of 10 students in a mathematics test:
Marks (out of 20): 10, 12, 15, 17, 18, 20, 12, 15, 18, 10.
Questions:
- The highest mark = ?
(a) 15 (b) 20 (c) 18 (d) 12
Answer: (b) - The lowest mark = ?
(a) 10 (b) 12 (c) 15 (d) 20
Answer: (a) - Mode of marks = ?
(a) 10 (b) 12 (c) 15 (d) 18
Answer: (a) - Median of marks = ?
(a) 15 (b) 12 (c) 18 (d) 20
Answer: (a) - Mean = ?
(a) 14.7 (b) 15.2 (c) 13.7 (d) 12.5
Answer: (a)
Case Study 2: Daily Wages
The daily wages (in ₹) of 20 workers were recorded: 100, 120, 140, 160, 180 (with frequencies 2, 4, 6, 5, 3).
Questions:
- Highest wage = ?
(a) 100 (b) 120 (c) 160 (d) 180
Answer: (d) - Number of workers = ?
(a) 20 (b) 15 (c) 18 (d) 10
Answer: (a) - Mode of wages = ?
(a) 140 (b) 100 (c) 180 (d) 120
Answer: (a) - Mean wage = ?
(a) 142 (b) 138 (c) 140 (d) 144
Answer: (c) - Median wage class = ?
(a) 100–120 (b) 120–140 (c) 140–160 (d) 160–180
Answer: (c)
Case Study 3: Cricket Scores
Runs scored by a cricket team in 6 matches: 210, 180, 200, 190, 220, 200.
Questions:
- Maximum runs = ?
(a) 210 (b) 180 (c) 220 (d) 200
Answer: (c) - Mode of runs = ?
(a) 210 (b) 200 (c) 220 (d) 180
Answer: (b) - Median runs = ?
(a) 200 (b) 195 (c) 210 (d) 190
Answer: (a) - Mean runs = ?
(a) 200 (b) 210 (c) 190 (d) 205
Answer: (a) - Which measure is most representative here?
(a) Mean (b) Median (c) Mode (d) all
Answer: (d)
Case Study 4: Attendance Record
Attendance of students for 5 days in a week was: 48, 45, 50, 47, 45.
Questions:
- Maximum attendance = ?
(a) 45 (b) 48 (c) 50 (d) 47
Answer: (c) - Mode = ?
(a) 45 (b) 47 (c) 50 (d) 48
Answer: (a) - Median = ?
(a) 45 (b) 47 (c) 48 (d) 50
Answer: (b) - Mean = ?
(a) 47 (b) 48 (c) 46 (d) 49
Answer: (a) - Which two measures are same?
(a) Mean & Mode (b) Median & Mode (c) Mean & Median (d) none
Answer: (c)
Case Study 5: Heights of Students
Heights (in cm) of 10 students are: 140, 145, 150, 155, 150, 160, 150, 165, 170, 150.
Questions:
- Highest height = ?
(a) 150 (b) 170 (c) 160 (d) 165
Answer: (b) - Mode = ?
(a) 145 (b) 150 (c) 160 (d) 165
Answer: (b) - Median = ?
(a) 150 (b) 160 (c) 155 (d) 165
Answer: (a) - Mean = ?
(a) 155 (b) 158 (c) 150 (d) 160
Answer: (a) - Which measure represents most frequent height?
(a) Mode (b) Mean (c) Median (d) Range
Answer: (a)
Case Study 6: Family Income
Monthly income (in ₹) of 6 families: 10,000; 12,000; 8,000; 15,000; 12,000; 10,000.
Questions:
- Highest income = ?
(a) 10,000 (b) 15,000 (c) 12,000 (d) 8,000
Answer: (b) - Lowest income = ?
(a) 10,000 (b) 8,000 (c) 12,000 (d) 15,000
Answer: (b) - Mode income = ?
(a) 10,000 (b) 12,000 (c) 8,000 (d) 15,000
Answer: (a) - Mean income = ?
(a) 11,833 (b) 12,000 (c) 10,500 (d) 11,000
Answer: (a) - Median income = ?
(a) 12,000 (b) 11,000 (c) 10,000 (d) 15,000
Answer: (b)
Case Study 7: Sports Activity
Number of hours students spent on sports in a week: 2, 3, 5, 4, 3, 5, 2, 3, 4, 5.
Questions:
- Mode hours = ?
(a) 2 (b) 3 (c) 4 (d) 5
Answer: (d) - Median = ?
(a) 3.5 (b) 4 (c) 5 (d) 3
Answer: (a) - Mean = ?
(a) 3.6 (b) 4 (c) 3.7 (d) 3.8
Answer: (a) - Which value occurs most?
(a) 2 (b) 3 (c) 4 (d) 5
Answer: (d) - Range of data = ?
(a) 3 (b) 2 (c) 5 (d) 4
Answer: (a)
Case Study 8: Daily Temperature
Temperature (°C) of a city for 7 days: 30, 32, 31, 29, 28, 32, 33.
Questions:
- Maximum temperature = ?
(a) 30 (b) 33 (c) 32 (d) 28
Answer: (b) - Minimum temperature = ?
(a) 28 (b) 29 (c) 30 (d) 31
Answer: (a) - Mode = ?
(a) 30 (b) 32 (c) 31 (d) 33
Answer: (b) - Median = ?
(a) 30 (b) 31 (c) 32 (d) 33
Answer: (b) - Mean = ?
(a) 30.7 (b) 31.2 (c) 31.4 (d) 32
Answer: (b)
Case Study 9: Favorite Subject Survey
Survey of 30 students about favorite subject: Math (10), Science (8), English (6), Social Science (6).
Questions:
- Most liked subject = ?
(a) Math (b) Science (c) English (d) Social Science
Answer: (a) - Least liked = ?
(a) Math (b) Science (c) English (d) Social Science
Answer: (c) & (d) - Mode = ?
(a) Math (b) Science (c) English (d) Social Science
Answer: (a) - Mean number of students per subject = ?
(a) 7.5 (b) 8 (c) 6.5 (d) 10
Answer: (a) - Median subject (when ordered) = ?
(a) Science (b) Math (c) English (d) Social Science
Answer: (a)
Case Study 10: Book Pages
Number of pages read by 8 students in a week: 20, 35, 40, 30, 25, 50, 35, 40.
Questions:
- Maximum pages = ?
(a) 20 (b) 25 (c) 40 (d) 50
Answer: (d) - Mode = ?
(a) 35 (b) 40 (c) 30 (d) 25
Answer: (a) - Median = ?
(a) 30 (b) 35 (c) 37.5 (d) 40
Answer: (c) - Mean = ?
(a) 34.4 (b) 35 (c) 36.2 (d) 37.5
Answer: (a) - Range = ?
(a) 30 (b) 25 (c) 20 (d) 15
Answer: (a)