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=70−Lower quartile(Q1) ⇒Lower quartile (Q1)=70−20=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.