Question 5 The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches- - Number-of-students-per-teacher amp-Number-of-states-U-T- 3000-4000 amp-4- 4000-5000 amp-18- 5000-6000 amp-9- 6000-7000 amp-7- 7000-8000 amp-6- 8000-9000 amp-3- 9000-10000 amp-1- 10000-11000 amp-1- - Find the mode of the data-

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Standard X

Mathematics

Class Interval

Question 5 Th...

Question

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.

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Solution

From the given data we may observe that maximum class frequency is 18 belonging to class interval 4000 - 5000.

So, modal class = 4000 - 5000

Lower limit $l$ of modal class = 4000

Frequency $(f_{1})$ of modal class = 18

Frequency $(f_{0})$ of class preceding modal class = 4

Frequency $(f_{2})$ of class succeeding modal class = 9

Class size $h$ = 1000

$N o w, m o d e = 1 + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h = 4000 + (\frac{18 - 4}{2 (18) - 4 - 9}) \times 1000 = 4000 + (\frac{14000}{23})$

= 4608.695

So mode of 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 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

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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.
$\begin{matrix} Runs scored & Number of bastsman & Runs scored & Number of bastsman 3000 - 4000 & 4 & 7000 - 8000 & 6 4000 - 5000 & 18 & 8000 - 9000 & 3 5000 - 6000 & 9 & 9000 - 10000 & 1 6000 - 7000 & 7 & 10000 - 11000 & 1 \end{matrix}$
Find the mode of the data.

Q. The following data shows the runs scored by different batsmen. Find the modal number of runs scored by the batsmen.

\begin{matrix} 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 \end{matrix}

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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