Question 51

The data below shows the number of wickets taken by each bowler and the number of bowlers who took them.

What is the median of the number of wickets?

Solution

From the given table, we can say that 1 wicket is taken by 9 bowlers. similarly, 2 wickets are taken by bowlers and so on. From this, we can form a sequence which is given below.

1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5

There are a total number of 23 terms.

Median = $$\frac{\left(n+1\right)}{2}$$ th term

= $$\frac{\left(23+1\right)}{2}$$ th term

= $$\frac{24}{2}$$ th term

= 12 th term

= 2


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