Vidaara.orgClass 9 · Mathematics
CodeVID-M9-14-CT
Statistics — Full Chapter Test
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.
Unarranged data is called:
- A.grouped
- B.raw (ungrouped)
- C.a histogram
- D.a polygon
2.
A bar graph is used for ___ data.
- A.continuous
- B.discrete
- C.grouped
- D.no
3.
The mean $=$
- A.middle value
- B.$\tfrac{\text{sum}}{\text{number}}$
- C.most frequent value
- D.range
4.
The number of times a value occurs is its:
- A.range
- B.frequency
- C.mean
- D.mode
5.
A histogram is used for ___ data.
- A.discrete
- B.continuous (grouped)
- C.two-value
- D.ratio
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the range of $5, 8, 12, 3, 20$.
7.
Which graph has no gaps between bars?
8.
Find the mean of $4, 6, 8, 10$.
9.
Find the class mark of $10\text{--}20$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the range of $45, 12, 78, 30, 60$.
11.
State one difference between a bar graph and a histogram.
12.
Find the mean of $12, 15, 18, 21, 24$.
13.
Find the class mark of $50\text{--}60$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
The marks of $10$ students are $23, 45, 12, 36, 48, 30, 25, 41, 19, 33$. Find the range and the frequencies for classes $10\text{--}20, 20\text{--}30, 30\text{--}40, 40\text{--}50$.
15.
The number of students scoring in classes $0\text{--}10, 10\text{--}20, 20\text{--}30, 30\text{--}40$ is $3, 7, 9, 1$. Describe how to draw the histogram and state which class has the tallest bar.
Answer Key
Section A — Multiple Choice Questions
- (B) raw (ungrouped)
- (B) discrete
- (B) $\tfrac{\text{sum}}{\text{number}}$
- (B) frequency
- (B) continuous (grouped)
Section B — Short Answer (2 marks)
- $17$.
- A histogram.
- $7$.
- $15$.
Section C — Short Answer (3 marks)
- $66$.
- A bar graph has gaps and is for discrete data; a histogram has no gaps and is for continuous data.
- $18$.
- $55$.
Section D — Long Answer (5 marks)
- Range $36$; frequencies $2, 2, 3, 3$.
- Classes on the x-axis, frequency on the y-axis, adjacent equal-width bars; tallest bar is $20\text{--}30$ (frequency $9$).
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