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

5.  The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

 2.5

 Find the mode of the data.

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The class having maximum frequency is the modal class.

The maximum frequency is 18 and hence the modal class = 4000-5000

Lower limit (l) of modal class = 4000, class size (h) = 1000

Frequency ( f_1 ) of the modal class = 18 frequency ( f_0 ) of class preceding the modal class = 4, frequency ( f_2 ) of class succeeding the modal class = 9

Mode = l + \left(\frac{f_1-f_0}{2f_1 - f_0 - f_2} \right).h

\\ =4000 + \left(\frac{18-4}{2(18)-4-9} \right).1000 \\ \\ = 4000 + \frac{14}{23}.1000

= 4608.70

Thus, Mode of the data is 4608.70

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