Mean, median and mode: Class 7 practice
Mean = sum ÷ count; median = the middle value after sorting; mode = the most frequent value. Read the method, follow the three worked examples, then try the six questions.
What you should know first
- Addition and division
The idea behind mean, median and mode
Mean = sum ÷ count; median = the middle value after sorting; mode = the most frequent value. Each describes a 'typical' value differently.
Step-by-step method
- Sort the data.
- Mean: add and divide by how many.
- Median: middle value (average the two middle ones for an even count).
- Mode: value that appears most.
Worked example 1 (Basic)
Marks of 5 students: 52, 20, 36, 30, 52. Find the mean and median.
- Sum = 190, mean = 190 ÷ 5 = 38
- Sorted: 20, 30, 36, 52, 52
- Median = 36
- Answer: Mean = 38, Median = 36
Worked example 2 (Standard)
Marks of 7 students: 44, 31, 10, 50, 43, 23, 44. Find the mean and median.
- Sum = 245, mean = 245 ÷ 7 = 35
- Sorted: 10, 23, 31, 43, 44, 44, 50
- Median = 43
- Answer: Mean = 35, Median = 43
Worked example 3 (Challenge)
Marks of 6 students: 33, 55, 31, 27, 49, 33. Find the mean and median.
- Sum = 228, mean = 228 ÷ 6 = 38
- Sorted: 27, 31, 33, 33, 49, 55
- Median = 33
- Answer: Mean = 38, Median = 33
Common mistakes and misconceptions
- Finding the median without sorting
- Dividing by the wrong count
Practice questions
- (Basic) Marks of 5 students: 37, 21, 24, 56, 37. Find the mean and median.
- (Basic) Marks of 5 students: 54, 11, 17, 39, 54. Find the mean and median.
- (Standard) Marks of 7 students: 52, 43, 37, 33, 50, 27, 52. Find the mean and median.
- (Standard) Marks of 7 students: 19, 63, 52, 56, 52, 54, 19. Find the mean and median.
- (Challenge) Marks of 6 students: 44, 23, 52, 29, 42, 44. Find the mean and median.
- (Challenge) Marks of 6 students: 15, 41, 55, 18, 54, 15. Find the mean and median.
Answer key with full working
- Q1: Sum = 175, mean = 175 ÷ 5 = 35 → Sorted: 21, 24, 37, 37, 56 → Median = 37 → Answer: Mean = 35, Median = 37
- Q2: Sum = 175, mean = 175 ÷ 5 = 35 → Sorted: 11, 17, 39, 54, 54 → Median = 39 → Answer: Mean = 35, Median = 39
- Q3: Sum = 294, mean = 294 ÷ 7 = 42 → Sorted: 27, 33, 37, 43, 50, 52, 52 → Median = 43 → Answer: Mean = 42, Median = 43
- Q4: Sum = 315, mean = 315 ÷ 7 = 45 → Sorted: 19, 19, 52, 52, 54, 56, 63 → Median = 52 → Answer: Mean = 45, Median = 52
- Q5: Sum = 234, mean = 234 ÷ 6 = 39 → Sorted: 23, 29, 42, 44, 44, 52 → Median = 43 → Answer: Mean = 39, Median = 43
- Q6: Sum = 198, mean = 198 ÷ 6 = 33 → Sorted: 15, 15, 18, 41, 54, 55 → Median = 29.5 → Answer: Mean = 33, Median = 29.5
Syllabus note
This skill is listed under "Data Handling" for Class 7 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.
Related practice and notes
Frequently asked questions
Which chapter is mean, median and mode in?
"Data Handling", Class 7 Maths (NCERT/CBSE). Other boards may place it differently.
How were the answers checked?
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.