Dukes science quiz scores are 99,91,60,94,and 95 . Describe the effect of the outlier on the mean and median

Respuesta :

I don't know the effect, but I can tell you the outlier, mean, and the median.
Outlier: 60
Mean: 87.8
Median: 60

Solution:

we are given that

Dukes science quiz scores are 99,91,60,94,and 95 .

we have been asked to describe the effect of the outlier on the mean and median.

Mean of the given data[tex] =\frac{99+91+60+94+95}{5} \\ [/tex]

Mean of the given data[tex] =\frac{439}{5}=87.8 \\ [/tex]

Median of the given data after arranging in the ascending order 60,91,94,95,99 is 94.

The outlier is 60.

The outlier is decreasing the value of Mean by [tex] 87.8-60=27.8\\ [/tex]

The outlier is decreasing the value of Median by [tex] 94-60=34\\ [/tex]