Answer:
The mean would increase.
Step-by-step explanation:
The mean, including the outlier of 81, equals 94. This means the outlier 81 is the left outlier (the smallest number).
There are 19 students test scores. If you exlude test score of 81, the median becomes the average between 9th and 10th test scores. If 10th test score is the same as the 9th test score, the median remains the same. If 10th test score is greater than 9th test score, the median would increase.
Let the sum of all test scores be [tex]S[/tex]. This means
[tex]\dfrac{S}{19}=94\Rightarrow S=1,786[/tex]
Excluding 81, the sum of the scores becomes
[tex]1,786-81=1,705[/tex]
and the mean becomes
[tex]\dfrac{1,705}{18}=94\dfrac{13}{18}[/tex]
that is greater than 94.
Hence, correct option is
The mean would increase.
