Vidaara.orgClass 8 · Mathematics
CodeVID-M08-18-CHM-01
Choosing the Best Measure - Assignment
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.
Most affected by an outlier:
- A.mean
- B.median
- C.mode
- D.range
2.
Best when there are outliers:
- A.mean
- B.median
- C.mode
- D.sum
3.
Shows the most common value:
- A.mean
- B.median
- C.mode
- D.range
4.
The middle value is the:
- A.mean
- B.median
- C.mode
- D.range
5.
The median is ___ by extreme values.
- A.strongly affected
- B.not affected
- C.doubled
- D.halved
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Which measure is most affected by an outlier?
7.
Which measure is the most common value?
8.
Which measure is the middle value?
9.
Which measure helps a shop decide which size to stock most?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
For $2, 3, 4, 5, 100$, which represents it better — mean or median?
11.
Which measure would a shoe shop use to order stock?
12.
Why is the median preferred when there are outliers?
13.
Why is the mean of $1, 2, 3, 4, 90$ much larger than most values?
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
The salaries (in thousands) of $5$ workers are $10, 12, 11, 13, 64$. Find the mean and median, and say which better represents a typical salary.
15.
Give one situation where the mode is more useful than the mean, and explain why.
Answer Key
Section A — Multiple Choice Questions
- (A) mean
- (B) median
- (C) mode
- (B) median
- (B) not affected
Section B — Short Answer (2 marks)
- The mean.
- The mode.
- The median.
- The mode.
Section C — Short Answer (3 marks)
- The median.
- The mode.
- It is not affected by extreme values.
- The outlier $90$ raises it.
Section D — Long Answer (5 marks)
- Mean $22$, median $12$; the median better represents a typical salary because the mean is inflated by the outlier $64$.
- For the most common dress size sold in a shop — the mode names a real stock item, while an average size may not correspond to any actual size.
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