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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?

Solution:

We use the basic formulae of mean, median and mode to solve the problem.

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

Mean = Sum of all scores / Total number of players 

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

= 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.

∴ 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)

Thus, Mean = 39 , Mode= 15 and median = 15. No, the mean, mode, and median are not the same.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 3

Video Solution:

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?

NCERT Solutions Class 7 Maths Chapter 3 Exercise 3.2 Question 2

Summary:

The runs scored in a cricket match by 11 players is as follows: 6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15. Mean = 39 , Mode= 15 and median =15. No, the mean, mode, and median are not the same.

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