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

Answer:

• (a)900 test scores

,

• (b)1350 test scores

Explanation:

Part A

First, determine the number of test scores below Q2

$\begin{gathered} 50\%\text{ of }1800=\frac{50}{100}\times1800 \\ =\frac{1}{2}\times1800 \\ =900 \end{gathered}$

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.

$\begin{gathered} 75\%\text{ of }1800=\frac{75}{100}\times1800 \\ =\frac{3}{4}\times1800 \\ =1350 \end{gathered}$

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