(Brainliest & Many Points, PLEASE HELP QUICK!)

The data to represent average test scores for a class of 19 students includes an outlier value of 81. If the mean, including the outlier of 81, equals 94, which statement is always true about the new data when the outlier is removed? Explain

The median would increase.
The median would decrease.
The mean would increase.
The mean would decrease.

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 . This means

Excluding 81, the sum of the scores becomes

and the mean becomes

that is greater than 94.

Hence, correct option is

The mean would increase.

The mean would increase

Step-by-step explanation:

Since the outlier is less than the mean, it's pulling the mean down. When removed, mean would increase

answer:     true

step-by-step explanation:

df =

both have same length