← Back to chapter
Vidaara.orgClass 8 · Mathematics
CodeVID-M8-18-CT
Measures of Central Tendency — Full Chapter Test
Chapter: Measures of Central Tendency
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
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.
The mean $=$
  • A.middle value
  • B.$\tfrac{\text{sum}}{\text{number}}$
  • C.most frequent
  • D.highest $-$ lowest
2.
The median is the ___ value when ordered.
  • A.largest
  • B.middle
  • C.smallest
  • D.average
3.
Most affected by an outlier:
  • A.mean
  • B.median
  • C.mode
  • D.range
4.
The range $=$
  • A.sum of values
  • B.highest $-$ lowest
  • C.middle value
  • D.most frequent
5.
The mode occurs:
  • A.least often
  • B.most often
  • C.in the middle
  • D.first
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the mean of $4, 6, 8, 10$.
7.
Find the median of $4, 8, 6$.
8.
Which measure is most affected by an outlier?
9.
Find the range of $5, 12, 8, 20$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the mean of $12, 15, 18, 21, 24$.
11.
Find the median of $7, 3, 9, 5, 11$.
12.
For $2, 3, 4, 5, 100$, which represents it better — mean or median?
13.
The mean of $5$ numbers is $20$. Find their sum.
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 marks of $7$ students are $35, 40, 28, 50, 45, 40, 30$. Find the median and mode.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\tfrac{\text{sum}}{\text{number}}$
  2. (B) middle
  3. (A) mean
  4. (B) highest $-$ lowest
  5. (B) most often
Section B — Short Answer (2 marks)
  1. $7$.
  2. $6$.
  3. The mean.
  4. $15$.
Section C — Short Answer (3 marks)
  1. $18$.
  2. $7$.
  3. The median.
  4. $100$.
Section D — Long Answer (5 marks)
  1. Mean $38$; range $22$.
  2. Median $40$; mode $40$.
Generated by Vidaara.org · Assignment VID-M8-18-CT · vidaara.org