Question

the run scored in a cricket match by 11players is as follows:6,15,120,50,100,80,10,15,8,10,15 find the mean median and mode of this data

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Answer 1

Step-by-step explanation:

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

= 429/11

= 39

MODE = 120(Highest number)

MEDIAN = n = 11 (odd)

median = n+1/2 th observation

= 11+1/2 th obs....

= 6 th observation.

Arrange the data in ascending order......

6 8 10 10 15 15 15 50 80 100 120

• Therefore sixth observation is 15

Answer 2

Step-by-step explanation:

Given:-

The run scored in a cricket match by 11players is as follows:6,15,120,50,100,80,10,15,8,10,15.

To find:-

Find the mean median and mode of this data?

Solution:-

1)Mean:-

The runs scored in a cricket match by 11 players

are :6,15,120,50,100,80,10,15,8,10,15.

Sum of all observations =

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

=429

Number of all observations = 11

We know that

Mean = Sum of all observations/ No. of all observations

=> Mean = 429/11

=>Mean = 39

Mean of the data = 39

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2) Median:-

The runs scored in a cricket match by 11 players

are :6,15,120,50,100,80,10,15,8,10,15.

On writing them into ascending order

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

Number of all observations = 11

It is an odd number

We know that

The number of all observations of a data is 'n' an odd then median of the data is (n+1)/2th observation

We have n = 11,

Median = (11+1)/2th observation

=>Median = 12/2th observation

=>Median = 6th observation

Median of the given data = 15

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3)Mode:-

The runs scored in a cricket match by 11 players

are :6,15,120,50,100,80,10,15,8,10,15.

On writing them into ascending order

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

15 occuring three times in the given data

Most frequent occuring observation = 15

Mode of the given data = 15

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Answer:-

1)Mean of the given data = 39

2)Median of the given data = 15

3)Mode of the given data = 15

Used formulae:-

• Mean = Sum of all observations/ No. of all observations
• The number of all observations of a data is 'n' an odd then median of the data is (n+1)/2th observation
• Most frequent occuring observation of the given data is called its Mode