Question

Two identical sets of data are shown below.

Data Set 1: 58, 59, 62, 64, 67, 67
Data Set 1: 58, 59, 62, 64, 67, 67

An outlier is added to Data Set 2. Which of the following statistics must be greater in Data Set 2 when compared to Data Set 1 now that the outlier has been added? Select TWO that apply

mean
standard deviation
mode
median
range

Answer 1

• Standard deviation
• Range

Explanation:

Two identical sets of data are:

• Data Set 1: 58, 59, 62, 64, 67, 67
• Data Set 2: 58, 59, 62, 64, 67, 67

An outlier is added to Data Set 2. This is the number that is either smaller than 58 or greater than 67.

Mean

• No, it could be greater or smaller

Standard deviation

• Yes, it will increase with an outlier added because the difference between the added number and the mean will be the greatest.

Mode

• No, it could be greater or smaller

Median

• No, it could be greater or smaller

Range

• Yes, it will increase as either lower or the higher value will be added to the data set.