Question

Consider the data shown below. 6, 8, 0, 2, 2, 8, 7, 8, 4, 8, 6, 3, 8, 2, 0, 8, 2, 3, 8 Which measure of center would best describe a typical value of the data set? Why? would be better, because the data distribution is .

Answer 1

the median , skewed

Answer 2

Median because the data distribution is nearly skewed.

Explanation:

The given data set is:

6, 8, 0, 2, 2, 8, 7, 8, 4, 8, 6, 3, 8, 2, 0, 8, 2, 3, 8

The best measure of center for the given data will be median as median is the central value of the given data set which represents the center.

In order to find the median, arrange the given data set in ascending order as:

0, 0, 2, 2, 2, 2, 3, 3, 4, 6, 6, 7, 8, 8, 8, 8, 8, 8, 8

Now, the median is given as:

`M=6`

Therefore, the median of the given data set is 6.

Hence, median is the best measure of center.

Also, we can see from the given data set that the given data set values are nearly same, hence the given distribution is nearly skewed.