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

Standard deviation Range

Step-by-step 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.