The mean is the measure of central tendency most likely to be affected by an outlier.

(A) The statement is true.

(B) The statement is false. The mode is the measure of central tendency most likely to be affected by an outlier.

(C) The statement is false. The median is the measure of central tendency most likely to be affected by an outlier.

(D) The statement is false. Outliers do not affect any measure of central tendency.

Question

Mathematics

Carly Black

14 February, 11:34

The mean is the measure of central tendency most likely to be affected by an outlier.

(A) The statement is true.

(B) The statement is false. The mode is the measure of central tendency most likely to be affected by an outlier.

(C) The statement is false. The median is the measure of central tendency most likely to be affected by an outlier.

(D) The statement is false. Outliers do not affect any measure of central tendency.

+1

Answers (1)

Know the Answer?

Kenna Archer · Answer 1

The correct option is A) The statement is true.

Step-by-step explanation:

Consider the provided statement.

The Mean is calculated as: sum of values / number of values

Outlier is the value that "lies outside" most of the other values in a set of data. Or the values that are much smaller or larger.

The mean is the measure of central tendency.

Now consider the provided statement.

The statement says mean is measure of central tendency which is true.

It also say that it is affected by an outlier.

This is true because mean is the sum of values divided by the number of values. Also it is most affected by the extreme values.

Thus, the correct option is A) The statement is true.