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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-18-MNR-01
Mean & Range - Assignment
Chapter: Measures of Central Tendency
Topic: Mean, Range, and Interpretation of Data
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.
The mean $=$
  • A.middle value
  • B.$\tfrac{\text{sum}}{\text{number}}$
  • C.most frequent
  • D.highest $-$ lowest
2.
The range $=$
  • A.sum of values
  • B.highest $-$ lowest
  • C.middle value
  • D.most frequent
3.
The mean of $2, 4, 6$ is:
  • A.$3$
  • B.$4$
  • C.$6$
  • D.$12$
4.
The mean is also called the:
  • A.mode
  • B.average
  • C.range
  • D.median
5.
The range of $10, 4, 7$ is:
  • A.$4$
  • B.$6$
  • C.$10$
  • D.$7$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the mean of $4, 6, 8, 10$.
7.
Find the range of $5, 12, 8, 20$.
8.
Find the mean of $10, 20, 30$.
9.
Find the range of $3, 3, 3$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the mean of $12, 15, 18, 21, 24$.
11.
The mean of $5$ numbers is $20$. Find their sum.
12.
Find the range of $45, 12, 78, 30, 60$.
13.
The mean of $6, 8, x$ is $8$. Find $x$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
The marks of $6$ students are $35, 40, 28, 50, 45, 30$. Find the mean and the range.
15.
The mean of $5$ numbers is $18$. If four of them are $12, 20, 24, 16$, find the fifth.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\tfrac{\text{sum}}{\text{number}}$
  2. (B) highest $-$ lowest
  3. (B) $4$
  4. (B) average
  5. (B) $6$
Section B — Short Answer (2 marks)
  1. $7$.
  2. $15$.
  3. $20$.
  4. $0$.
Section C — Short Answer (3 marks)
  1. $18$.
  2. $100$.
  3. $66$.
  4. $10$.
Section D — Long Answer (5 marks)
  1. Mean $38$; range $22$.
  2. $18$.
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