# The runs scored in a cricket match by 11 players is as follows:6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15Find the mean, mode and median of this data. Are the three same?

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Given:

The runs scored in a cricket match by 11 players are as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

To do:

We have to find the mean, mode and median of this data and whether the three are same.

Solution:

Total number of players$=11$

Scores of the players $=$6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Arranging the scores into ascending order, we get

6, 8, 10, 15, 15, 15, 50, 80, 100, 120

$\boxed{ \text { Mean }=\frac{ \text { Sum of all scores }}{ \text { Total number of players }}}$

$=\frac{6+8+10+15+15+15+50+80+100+120}{11}$

$=\frac{429}{11}$

$=39$

Thus, mean $=39$

Mode is the observation that occurs the highest number of times.

Here, $15$ occurs $3$ times in the given data.

$\therefore$ Mode $=15$

The arranged data is: 6, 8, 10,10, 15, 15, 15, 50, 80, 100, 120

Median is the middlemost observation of the given data

There are $11$ observations here. Thus the middle value is the 6th observation.

Median$=15$        [6th observation]

Therefore, Mean$=39$, Mode$=15$ and median$=15$

No, the mean, mode, and median are not the same.

Updated on 10-Oct-2022 13:33:20