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Vidaara.orgClass 7 · Mathematics
CodeVID-M7-11-CT
Statistics (Measures of Center & Variability) — Full Chapter Test
Chapter: Statistics (Measures of Center & Variability)
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.
MAD measures the ___ of data.
  • A.centre
  • B.spread
  • C.total
  • D.mode
3.
The five-number summary is min, Q1, median, Q3 and:
  • A.mean
  • B.maximum
  • C.mode
  • D.range
4.
The entire group studied is the:
  • A.sample
  • B.population
  • C.survey
  • D.mean
5.
The median is the:
  • A.average
  • B.middle value when ordered
  • C.most frequent
  • D.range
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the mean of $4, 6, 8, 10$.
7.
The mean of $2, 4, 6$ is:
8.
The IQR equals $Q_3$ minus what?
9.
What is the entire group studied called?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the mean of $12, 15, 18, 21, 24$.
11.
Find the MAD of $2, 4, 6$.
12.
For the data $2, 4, 6, 8, 10$, find the median.
13.
In a sample of $50$ students, $30$ like maths. Estimate the percentage in the population who like maths.
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, mode and range.
15.
Find the MAD of the data set $5, 8, 10, 9, 8$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) $\tfrac{\text{sum}}{\text{number}}$
  2. (B) spread
  3. (B) maximum
  4. (B) population
  5. (B) middle value when ordered
Section B — Short Answer (2 marks)
  1. $7$.
  2. $4$.
  3. $Q_1$.
  4. The population.
Section C — Short Answer (3 marks)
  1. $18$.
  2. $\tfrac43\approx1.33$.
  3. $6$.
  4. $60\%$.
Section D — Long Answer (5 marks)
  1. Mean $\approx38.29$; median $40$; mode $40$; range $22$.
  2. $1.2$.
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