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Question

The following data shows the score of seventh-grade students on a test:

Minimum value =40
Upper quartile =70
Inter-quartile range =20
Median =60
Maximum value =80

Choose the correct box and whiskers plot of the above data.

A
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B
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C
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D
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Solution

The correct option is A
Given:
Minimum value =40
Upper quartile (Q3)=70
Inter-quartile range =20
Median =60
Maximum value =80

Plot meadian (60) as a second quartile and upper quartile (70)

Step 1: Find the lower quartile (Q1).
We know that the inter-quartile range is the difference of the upper quartile and the lower quartile.

Inter-quartile range = Upper quartile Lower quartile
20=70Lower quartile(Q1)
Lower quartile (Q1)=7020=50

Step 2: Draw a box connecting Q1(50), Q2(60), and Q3(70)

Step 3: Draw a whisker from the minimum(40) to Q1(50) and from Q3(70) to the maximum(80).

Hence, option (a.) is the correct choice.

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