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Vidaara.orgClass 11 · Mathematics
CodeVID-M11-13-MD-01
Range & Mean Deviation — Assignment
Chapter: Statistics
Topic: Range and Mean Deviation
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • 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.
The range of $3,7,10,12$ is:
  • A.$9$
  • B.$12$
  • C.$3$
  • D.$15$
3.
Mean deviation about the mean is:
  • A.$\tfrac1n\sum|x_i-\bar x|$
  • B.$\tfrac1n\sum(x_i-\bar x)$
  • C.$\sum x_i^2$
  • D.$\max-\min$
4.
Mean deviation is always:
  • A.negative
  • B.$\ge0$
  • C.zero
  • D.$>10$
5.
The measure $\max-\min$ is called the:
  • A.mean
  • B.range
  • C.mode
  • D.variance
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the range of $5,8,12,20$.
7.
Find the mean of $2,4,6,8$.
8.
Find the mean deviation about the mean of $2,4,6$.
9.
Find the range of $-3,0,4,7$.
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 mean deviation about the median for $3,9,5,3,12,10,18,4,7,19,21$.
12.
Find the range and mean of $10,20,30,40,50$.
13.
Find the mean deviation about the mean of $1,2,3,4,5$.
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 deviation about the median for $13,17,16,14,11,13,10,16,11,18,12,17$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\max-\min$
  2. (A) $9$
  3. (A) $\tfrac1n\sum|x_i-\bar x|$
  4. (B) $\ge0$
  5. (B) range
Section B — Short Answer (2 marks)
  1. $15$.
  2. $5$.
  3. $\tfrac43$.
  4. $10$.
Section C — Short Answer (3 marks)
  1. $3$.
  2. $\approx5.27$.
  3. Range $40$, mean $30$.
  4. $1.2$.
Section D — Long Answer (5 marks)
  1. $2.75$.
  2. $\approx2.33$.
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