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GATE 2022 EC – Question 31

Engineering Mathematics · Probability and Statistics · 1 mark · Numerical answer

The bar graph shows the frequency of the number of wickets taken in a match by a bowler in her career. For example, in 17 of her matches, the bowler has taken 5 wickets each. The median number of wickets taken by the bowler in a match is ________ (rounded off to one decimal place).

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Correct answer: 4

Explanation

The frequencies for 0 to 10 wickets are $5,7,8,25,20,17,8,4,3,2,1$, a total of 100 matches. The cumulative counts are 5, 12, 20, 45, 65, … so the 50th and 51st values both lie in the group with 4 wickets. The median is 4.0.