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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-14-CTU-01
Central Tendency (Ungrouped) - Assignment
Chapter: Statistics
Topic: Measures of Central Tendency for Ungrouped 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 value
  • D.range
2.
The median is the:
  • A.average
  • B.middle value when ordered
  • C.most frequent
  • D.range
3.
The mode is the value that occurs:
  • A.least often
  • B.most often
  • C.in the middle
  • D.first
4.
The mean of $2, 4, 6$ is:
  • A.$3$
  • B.$4$
  • C.$6$
  • D.$12$
5.
The mode of $3, 3, 5, 7$ is:
  • A.$3$
  • B.$5$
  • C.$7$
  • D.$4$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the mean of $4, 6, 8, 10$.
7.
Find the median of $3, 5, 7$.
8.
Find the mode of $2, 2, 3, 4, 2$.
9.
Find the mean of $10, 20, 30$.
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.
Find the median of $4, 8, 6, 2$.
13.
Find the mode of $5, 7, 5, 8, 7, 5$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
The marks of $7$ students are $35, 40, 28, 50, 45, 40, 30$. Find the mean, median and mode.
15.
The mean of $5$ numbers is $18$. If four of them are $12, 20, 24$ and $16$, find the fifth.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\tfrac{\text{sum}}{\text{number}}$
  2. (B) middle value when ordered
  3. (B) most often
  4. (B) $4$
  5. (A) $3$
Section B — Short Answer (2 marks)
  1. $7$.
  2. $5$.
  3. $2$.
  4. $20$.
Section C — Short Answer (3 marks)
  1. $18$.
  2. $7$.
  3. $5$.
  4. $5$.
Section D — Long Answer (5 marks)
  1. Mean $\approx 38.29$; median $40$; mode $40$.
  2. $18$.
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