i) 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, median and mode of this data. Are the three same?
Answers
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.
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Answer:
the mean of the scores would be
39.
the median of the scores would be
80
the mode of the scores would be
15.
Hope this helps you