Question

Consider the following dot plots.

Which statement is true about the dot plots?

A. The medians are both between 10 and 14 emails.

B. Both dot plots show the same interquartile range.

C. The means are the same value

D. The modes are the same value.

Answer 1

The correct answer is:

A) The medians are both between 10 and 14 emails.

Step-by-step explanation:

The mode is the easiest measure to find of a data set.

The mode of a data set is the data value that appears the most often. In plot A, there are 3 dots at 10 and 3 dots at 15; this means the modes are 10 and 15.

In plot B, there are 3 dots at 5 and 3 dots at 15; this means the modes are 5 and 15.

They do not have the same modes.

The median of a data set is the middle value. There are 10 dots in each dot plot; this means the medians will each be between two data points.

For plot A, we can see that the middle value is between 10 and 15.

For plot B, we can see that the middle value is between 10 and 15.

This means that choice A is correct, the medians of both are between 10 and 14.

Answer 2

The correct answer is:

A) The medians are both between 10 and 14 emails.

Explanation:

The mode is the easiest measure to find of a data set.
The mode of a data set is the data value that appears the most often. In plot A, there are 3 dots at 10 and 3 dots at 15; this means the modes are 10 and 15.

In plot B, there are 3 dots at 5 and 3 dots at 15; this means the modes are 5 and 15.

They do not have the same modes.

The median of a data set is the middle value. There are 10 dots in each dot plot; this means the medians will each be between two data points.

For plot A, we can see that the middle value is between 10 and 15.
For plot B, we can see that the middle value is between 10 and 15.

This means that choice A is correct, the medians of both are between 10 and 14.