Question

Can you answer this the question is in the photo

Answer 1

Given the data set:

$23,17,14,21,23,18,29,20,13$

a. 1. You need to order it from least to greatest:

$13,14,17,18,20,21,23,23,29$

2. You can identify the Range. Therefore, the minimum point of the whisker must be on:

$13$

And the maximum point on the whisker must be on:

$29$

3. Determine the Median of the whole data set (the middle value in the data set). Since there 9 values in the set, you can determine that:

$Median=20$

4. Find the Median of the bottom half part of the data:

$Median_{bottom}=17$

5. And the Median of the top half is:

$Median_{top}=23$

Knowing all that data, you can create the Box Plot:

b. By definition, the first quartile divides 25% of the data. Therefore, you can determine that the percentage of the data that is above the first quartile is:

$75\text{\%}$

c. By definition, the second quartile divides 50% of the data. Therefore, the percentage of the data that is below it is:

$50\text{ \%}$

Hence, the answers are:

a.

b.

$75\text{\%}$

c.

$50\text{\%}$