watch a cricket match ,collect the data of runs made by different players.Usings this data ,find the mean,mode and median.
Answers
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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