Question

{1, 4, 9, 4, 10, 8, 42} What is the best measure of center for this data set?

A mode because there is an outlier

B median because there is an outlier

C mean or median because there is no outlier

D mean because there is an outlier

Answer 1

B is the correct answer

Answer 2

(B) median because there is an outlier

Explanation:

The given data is as follows:

{1, 4, 9, 4, 10, 8, 42}

We can see from the given data that 42 is a data point which differ greatly from the other data points, and from the definition of OUTLIER that is a data point that differ greatly from the trend expressed by the other values in the data set.

Thus, 42 is an outlier.

Now, We have to find the center for the given data set, thus we will use the median as the definition of median states that median is the middle value of the data set.

Therefore, the best measure to find the center of the given data will be median because there is an outlier 42 present in it.

Thus, option B is correct.