Vidaara.orgClass 11 · Mathematics
CodeVID-M11-13-CT
Statistics — Full Chapter Test
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- This is a full-length test covering the whole chapter — every topic is included.
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
Range $=$
- A.$\max+\min$
- B.$\max-\min$
- C.mean
- D.median
2.
Standard deviation $=$
- A.variance$^2$
- B.$\sqrt{\text{variance}}$
- C.$\tfrac{1}{\text{variance}}$
- D.mean
3.
CV $=$
- A.$\dfrac{\sigma}{\bar x}\times100$
- B.$\dfrac{\bar x}{\sigma}\times100$
- C.$\sigma\bar x$
- D.$\sigma+\bar x$
4.
The range of $3,7,10,12$ is:
- A.$9$
- B.$12$
- C.$3$
- D.$15$
5.
Variance $=$
- A.$\tfrac1n\sum(x_i-\bar x)^2$
- B.$\tfrac1n\sum(x_i-\bar x)$
- C.$\max-\min$
- D.$\sqrt{n}$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the range of $5,8,12,20$.
7.
Find the mean of $2,4,6,8,10$.
8.
Find the CV if mean $=50$ and SD $=5$.
9.
Find the mean of $2,4,6,8$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the mean deviation about the mean for $4,7,8,9,10,12,13,17$.
11.
Find the variance and SD of $6,8,10,12,14$.
12.
Series A has mean $60$, SD $6$; series B has mean $80$, SD $12$. Find both CVs and state which is more consistent.
13.
Find the mean deviation about the median for $3,9,5,3,12,10,18,4,7,19,21$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Find the mean deviation about the mean for $6,7,10,12,13,4,8,12$.
15.
Find the mean and standard deviation of $6,7,10,12,13,4,8,12$.
Answer Key
Section A — Multiple Choice Questions
- (B) $\max-\min$
- (B) $\sqrt{\text{variance}}$
- (A) $\dfrac{\sigma}{\bar x}\times100$
- (A) $9$
- (A) $\tfrac1n\sum(x_i-\bar x)^2$
Section B — Short Answer (2 marks)
- $15$.
- $6$.
- $10\%$.
- $5$.
Section C — Short Answer (3 marks)
- $3$.
- Variance $8$, SD $2\sqrt2$.
- A: $10\%$, B: $15\%$; A is more consistent.
- $\approx5.27$.
Section D — Long Answer (5 marks)
- $2.75$.
- Mean $9$, variance $9.25$, SD $\approx3.04$.
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