Question Paper
Class / Subject: Class 10 (ICSE) · Mathematics
Chapter: Chapter 24 — Chapter 24: Measures of Central Tendency (Mean, Median, Mode)
Time Allowed: 32 minutes
Max Marks: 16
1. What methods calculate mean for grouped data? [1]
(A) Direct or step-deviation method
(B) Only direct method
(C) Only step-deviation method
(D) Neither method works
2. What is the median formula for grouped data? [1]
(A) l + [(n/2-cf)/f] × h
(B) l + [(f₁-f₀)/(2f₁-f₀-f₂)] × h
(C) Sum ÷ count
(D) (n+1)/2
3. What does 'l' represent in the median formula? [1]
(A) Lower boundary of the median class
(B) Upper boundary of the median class
(C) The class width
(D) The frequency
4. What is the mode formula for grouped data? [1]
(A) l + [(f₁-f₀)/(2f₁-f₀-f₂)] × h
(B) l + [(n/2-cf)/f] × h
(C) Sum ÷ count
(D) (n+1)/2
5. What does 'cf' represent in the median formula? [1]
(A) Cumulative frequency before the median class
(B) The total frequency
(C) The class width
(D) Nothing specific
6. Why learn grouped data formulas? [1]
(A) To analyse and summarise statistical data
(B) No reason
(C) It's not useful
(D) Only for tests
7. What do mean, median and mode all do? [1]
(A) Summarise data with a representative value
(B) Show all individual data points
(C) Ignore the data
(D) Nothing useful
8. Why might these three measures differ for the same data? [1]
(A) Data distribution can affect each differently
(B) They are always identical
(C) Only one measure is ever correct
(D) No reason, they're unrelated
9. What methods calculate mean for grouped data? [1]
(A) Direct or step-deviation method
(B) Only direct method
(C) Only step-deviation method
(D) Neither method works
10. What is the median formula for grouped data? [1]
(A) l + [(n/2-cf)/f] × h
(B) l + [(f₁-f₀)/(2f₁-f₀-f₂)] × h
(C) Sum ÷ count
(D) (n+1)/2
11. What does 'l' represent in the median formula? [1]
(A) Lower boundary of the median class
(B) Upper boundary of the median class
(C) The class width
(D) The frequency
12. What is the mode formula for grouped data? [1]
(A) l + [(f₁-f₀)/(2f₁-f₀-f₂)] × h
(B) l + [(n/2-cf)/f] × h
(C) Sum ÷ count
(D) (n+1)/2
13. What does 'cf' represent in the median formula? [1]
(A) Cumulative frequency before the median class
(B) The total frequency
(C) The class width
(D) Nothing specific
14. Why learn grouped data formulas? [1]
(A) To analyse and summarise statistical data
(B) No reason
(C) It's not useful
(D) Only for tests
15. What do mean, median and mode all do? [1]
(A) Summarise data with a representative value
(B) Show all individual data points
(C) Ignore the data
(D) Nothing useful
16. Why might these three measures differ for the same data? [1]
(A) Data distribution can affect each differently
(B) They are always identical
(C) Only one measure is ever correct
(D) No reason, they're unrelated