Question

The following data set shows the number of books checked out from a library during the first two weeks of the month:

36, 39, 40, 42, 45, 2, 38, 41, 37, 38, 35, 37, 35, 38

Which of the following statements is true based on the data set? (5 points)

There are two outliers, indicating very few books were checked out on those two days.
There are two outliers, indicating an abnormally large number of books were checked out on those two days.
There is one outlier, indicating an abnormally large number of books were checked out on that day.
There is one outlier, indicating very few books were checked out on that day.

Answer 1

There is one outlier, indicating very few books were checked out on that day.

Answer 2

Answer: There is one outlier, indicating very few books were checked out on that day.

Explanation:

The given data of he number of books checked out from a library during the first two weeks of the month:

36, 39, 40, 42, 45, 2, 38, 41, 37, 38, 35, 37, 35, 38

Here , all the data value are near to each other except one i.e. 2.

Since 2 is very small value as compare to the other data values.

It means 2 is the outlier for the data.

It means only 2 books were checked out on that day, which is much lesser number of books than the other day.

Hence, the statements is true based on the data set :

There is one outlier, indicating very few books were checked out on that day.