Question

Complete the following statements.In general, 50% of the values in a data set lie at or below the median.75% of the values in a data set lie at or below the third quartile (Q3).If a sample consists of 1800 test scores,of them would be at or below the second quartile (Q2).If a sample consists of 1800 test scores,of them would be at or above the first quartile (Q1).Check Answer

Answer 1

• (a)900 test scores

,

• (b)1350 test scores

Step-by-step explanation:

Part A

First, determine the number of test scores below Q2

`\begin{gathered} 50\%\text{ of }1800=(50)/(100)*1800 \\ =(1)/(2)*1800 \\ =900 \end{gathered}`

If a sample consists of 1800 test scores, 900 of them would be at or below the second quartile (Q2).

Part B

Next, determine the number of test scores above Q1.

Since 25% of the test scores are below Q1, 75% of the test scores will be above Q1.

`\begin{gathered} 75\%\text{ of }1800=(75)/(100)*1800 \\ =(3)/(4)*1800 \\ =1350 \end{gathered}`

If a sample consists of 1800 test scores, 1350 of them would be at or above the first quartile (Q1).