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CodeVID-M07-11-MAD-01
Mean Absolute Deviation - Assignment
Chapter: Statistics (Measures of Center & Variability)
Topic: Mean Absolute Deviation (MAD)
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.
MAD measures the ___ of data.
  • A.centre
  • B.spread
  • C.total
  • D.mode
2.
MAD is the average of the absolute ___ from the mean.
  • A.sums
  • B.differences
  • C.products
  • D.squares
3.
A larger MAD means:
  • A.less spread
  • B.more spread
  • C.a larger mean
  • D.a smaller mean
4.
To find MAD, first find the:
  • A.median
  • B.mean
  • C.mode
  • D.range
5.
Absolute differences are always:
  • A.negative
  • B.non-negative
  • C.zero
  • D.fractions
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
The mean of $2, 4, 6$ is:
7.
The absolute deviation of $6$ from a mean of $4$ is:
8.
Does a larger MAD mean more or less spread?
9.
What is the first step in finding MAD?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the MAD of $2, 4, 6$.
11.
Find the MAD of $1, 3, 5, 7$.
12.
Find the mean of $10, 20, 30$.
13.
The deviations from the mean are $1, 2, 3, 2$. Find the MAD.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Find the MAD of the data set $5, 8, 10, 9, 8$.
15.
Two data sets have the same mean but MADs of $1.5$ and $4.2$. Which is more consistent, and why?

Answer Key

Section A — Multiple Choice Questions
  1. (B) spread
  2. (B) differences
  3. (B) more spread
  4. (B) mean
  5. (B) non-negative
Section B — Short Answer (2 marks)
  1. $4$.
  2. $2$.
  3. More spread.
  4. Find the mean.
Section C — Short Answer (3 marks)
  1. $\tfrac43\approx1.33$.
  2. $2$.
  3. $20$.
  4. $2$.
Section D — Long Answer (5 marks)
  1. $1.2$.
  2. The MAD $1.5$ set — a smaller MAD means the values are closer to the mean (less spread).
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