Question

A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the , but it will raise the significantly.

Answer 1

Median; mean.

Explanation:

A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the median, but it will raise the mean significantly.

Let's find the median and mean from the original data;

x = 2, 2, 3, 4, 5, 5, 7.

F(x) = 2 + 2 + 3 + 4 + 5 + 5 + 7

F(x) = 28

`Mean = \frac {F(x)}{7}`

`Mean = \frac {28}{7}`

Mean = 4

Median is the middle number of a sorted array of numbers.

Median = 4

Now, let's find the median and mean from the new data;

x = 2, 2, 3, 4, 5, 5, 7, 20.

F(x) = 2 + 2 + 3 + 4 + 5 + 5 + 7 + 20

F(x) = 48

`Mean = \frac {48}{6}`

Mean = 8

`Median = \frac {4 + 5}{2}`

Median = 4.5

Therefore, the median increased from 4 to 4.5 while the mean increased significantly from 4 to 8.