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.

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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

Therefore, mode of the given data is 4608.7 runs.

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Similar questions

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

Find the mode of data.

The following data shows the runs scored by different batsmen. Find the modal number of runs scored by the batsmen.
Runs ScoredNumber of batsmen3000−400044000−5000185000−600096000−700077000−800068000−900039000−10000110000−110001

Q. 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.

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

$\begin{matrix} N u m b e r o f s t u d e n t s p e r t e a c h e r & N u m b e r o f s t a t e s / U . T 3000 - 4000 & 4 4000 - 5000 & 18 5000 - 6000 & 9 6000 - 7000 & 7 7000 - 8000 & 6 8000 - 9000 & 3 9000 - 10000 & 1 10000 - 11000 & 1 \end{matrix}$

Find the mode of the data.

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

$\begin{matrix} Runs scored & N u m b e r o f b a t s m e n 3000 - 4000 & 4 4000 - 5000 & 18 5000 - 6000 & 9 6000 - 7000 & 7 7000 - 8000 & 6 8000 - 9000 & 3 9000 - 10000 & 1 10000 - 11000 & 1 \end{matrix}$

Find the mode of the data.

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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