Adam played 7 games and recorded the data of his scores as follows:
What is the difference between the mean in the presence and absence of outlier?
A
12.8
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B
−2.7
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C
−6.2
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D
93
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Solution
The correct option is A12.8 Observe the given data,
All the values of this data set lies within the range of 197 to 207, except the value 290 which is quite larger from the rest of the values.
Thus, by definition of oultlier, 290 is said to be the outlier of this data set.
The mean of the data set is calculated as,
Mean=Sum of all data pointsTotal number of data points
The mean with and without the presence of outlier will be given as,
Mean with outlier=198+197+200+205+290+198+2077=14957=213.6Mean without outlier=198+197+200+205+198+2076=12056=200.8
Thus, the difference between the mean with and without outlier is calculated as,
Required difference=Mean with outlier−Mean without outlier=213.6−200.8=12.8