Question

A data set has the following statistical measures.

mean = 10
mode = 4
median = 5
Which of the following is most likely true about the data set?
A. The data is centered about the mean.
B. There is a small outlier
C. There is a large outlier

Answer 1

ANSWER: C. There is a large outlier!

Answer 2

Answer: C. There is a large outlier

Explanation:

We know that the mean value of a data set tells the average value of the data values whereas the median value separates the higher half from the lower half of a data set.

• If mean is equal to median then there is no outlier in the data set .
• If Mean is less than Median then there is a small outlier in the data set.
• If Mean is greater than Median then there is a large outlier in the data set.

Here Given : mean = 10

mode = 4

median = 5

Mean > Median

Therefore, there must be a large outlier in the data set.