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Vidaara.orgClass 6 · Mathematics
CodeVID-M6-00-CT
Statistics — Full Chapter Test
Chapter: Statistics
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.
A statistical question has ___ in its answers.
  • A.one answer
  • B.variability
  • C.no answer
  • D.a formula
2.
The mean $=$
  • A.middle value
  • B.$\tfrac{\text{sum}}{\text{number}}$
  • C.most frequent
  • D.highest $-$ lowest
3.
A histogram displays ___ data.
  • A.grouped (continuous)
  • B.single
  • C.categorical only
  • D.no
4.
A non-statistical question has:
  • A.many answers
  • B.a single answer
  • C.variability
  • D.no answer
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.
Is "How old are the students in Grade 6?" statistical?
7.
Find the mean of $4, 6, 8, 10$.
8.
Which graph has no gaps between bars?
9.
Is "What is my age?" statistical?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Classify: "How many pets does each family own?"
11.
Find the mean of $12, 15, 18, 21, 24$.
12.
If $Q_1=5$ and $Q_3=13$, find the IQR.
13.
Classify: "What is the capital of France?"
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Write one statistical and one non-statistical question about students' heights.
15.
The marks of $7$ students are $35, 40, 28, 50, 45, 40, 30$. Find the mean, median, mode and range.

Answer Key

Section A — Multiple Choice Questions
  1. (B) variability
  2. (B) $\tfrac{\text{sum}}{\text{number}}$
  3. (A) grouped (continuous)
  4. (B) a single answer
  5. (B) middle value when ordered
Section B — Short Answer (2 marks)
  1. Yes.
  2. $7$.
  3. A histogram.
  4. No.
Section C — Short Answer (3 marks)
  1. Statistical.
  2. $18$.
  3. $8$.
  4. Non-statistical.
Section D — Long Answer (5 marks)
  1. Statistical: "What are the heights of students in my class?"; non-statistical: "What is my height?".
  2. Mean $\approx38.29$; median $40$; mode $40$; range $22$.
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