The data to represent average test scores for a class of 24 students includes an outlier value of 89. If the mean, including the outlier of 89, equals 77, which statement is always true about the new data when the outlier is removed?

The mean would increase.

The mean would decrease.

The median would increase.

The median would decrease.

Question

Mathematics

Skyla Kirby

11 October, 08:13

The data to represent average test scores for a class of 24 students includes an outlier value of 89. If the mean, including the outlier of 89, equals 77, which statement is always true about the new data when the outlier is removed?

The mean would increase.

The mean would decrease.

The median would increase.

The median would decrease.

+2

Answers (2)

Know the Answer?

Ana Sanford · Answer 1

The mean would decrease.

Buttercup · Answer 2

The mean would decrease.

Step-by-step explanation:

The mean is also known as average. To calculate the mean in a set of data, you add up the number of values in the data set and divide it by the number of values in the distribution. An outlier is a value that differs in measurement from other values in a given set of data. In statistical analysis, outliers are added to other values during calculation of arithmetic mean. Now, when the outliers are removed, the number of data decreases and this affects the mean value. The mean value would also decrease.