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Question -

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



Answer -

Arranging the runsscored in a cricket match by 11 players in an ascending order, we get

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

Mean,

Mean of the given data= Sum of all observations/ Total number of observations

= (6 + 8 + 10 + 10 +15 + 15 + 15 + 50 + 80 + 100 + 120)/ 11

= 429/11

= 39

Mode,

Mode is the value ofthe variable which occurs most frequently.

Clearly, 15 occursmaximum number of times.

Hence, mode of thegiven sores is 15

Median,

The value of themiddle-most observation is called the median of the data.

Here n = 11, which isodd.

Where, n is the numberof players.

median = value of ½ (n+ 1)th observation.

= ½ (11 + 1)

= ½ (12)

= 12/2

= 6

Then, value of 6th term= 15

Hence, the median is15.

No, these three arenot same.

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