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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 - CBSE Class 10 - Mathematics

#### Question

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

 Runs scored Number of batsmen 3000 − 4000 4 4000 − 5000 18 5000 − 6000 9 6000 − 7000 7 7000 − 8000 6 8000 − 9000 3 9000 − 10000 1 10000 − 11000 1

Find the mode of the data.

#### Solution

From the given data, it can be observed that the maximum class frequency is 18, belonging to class interval 4000 − 5000.

Therefore, modal class = 4000 − 5000

Lower limit (l) of modal class = 4000

Frequency (f1) of modal class = 18

Frequency (f0) of class preceding modal class = 4

Frequency (f2) of class succeeding modal class = 9

Class size (h) = 1000

"Mode" = l + ((f_1-f_0)/(2f_1-f_0-f_2))xxh

= 4000+((18-4)/(2(18)-4-9))xx1000

= 4000+(14000/23)

= 4000+608.695

= 4608.695

Therefore, mode of the given data is 4608.7 runs.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 14: Statistics
Ex. 14.20 | Q: 5 | Page no. 276
NCERT Solution for Mathematics Textbook for Class 10 (2018 to Current)
Chapter 14: Statistics
Ex. 14.20 | Q: 5 | Page no. 276
Solution The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches Concept: Mode of Grouped Data.
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