Question

formula 0.5 points
for the following data set, what is the first quartile?
{{45, 48, 52, 60, 67, 76, 77, 79, 82, 92}}
formula 0.5 points
for the following data set, what is the third quartile?
{{23, 31, 38, 46, 52, 58, 63, 70}}

Explanation:

Step1: Sort the data set

The data set is already sorted: $\{23, 31, 38, 46, 52, 58, 63, 70\}$

Step2: Find the median of the upper half

The formula for the third quartile ($Q_3$) is to find the median of the upper half of the data.
The upper half of the data $\{52, 58, 63, 70\}$
The median of this upper - half: $\frac{58 + 63}{2}=\frac{121}{2}=60.5$

Answer:

$60.5$