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Question: The table shows the percentage of scores obtained by John each year during his four year degree course. Which of the following is the equivalent box-and-whisker plot of the data? Also find out the median of scores obtained.
YearPercentage of scores
1st Year70
2nd Year82
3rd Year76
4th Year80



A ) Plot 1, 78
B ) Plot 2, 90
C ) Plot 3, 60
D ) Plot 4, 80

Steps to derive

1 The ascending order of the percentages obtained by John is 70, 76, 80, 82.

2 In the percentages, the least value is 70 and the greatest value is 82.

3 Middle quartile = Median of all the data

4 = 76 + 802 = 1562 = 78
 [Add and simplify.]

5 Lower quartile = Median of lower half of the data

6 = 70 + 762 = 1462 = 73
 [Add and simplify.]

7 Upper quartile = Median of upper half of the data

8 = 80 + 822 = 1622 = 81
 [Add and simplify.]

9 So, plot (1) is the equivalent box-and-whisker plot of the data.

10 Median of the scores obtained by John = Middle quartile = 78



Hence the right answer is Option A

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