# The given distribution shows the number of runs scored by some batsmen of the world in one-day international cricket matches. Find the mode of the data.

## Solution :

The class (4000 – 5000) has the maximum frequency. Therefore, this is the modal class.

Here, l = 4000, h = 1000, $$f_1$$ = 18, $$f_0$$ = 4 and $$f_2$$ = 9

Now, let us substitute these values in the formula

Mode = l + ($$f_1 – f_0\over 2f_1 – f_0 – f_2$$)$$\times$$h

Mode = 4000 + $$18 – 4\over 36 – 4 – 9$$$$\times$$ 1000

Mode = 4000 + 608.695 = 4608.695

Thus, the mode of the given data is 4608.7 runs.