here are justins receiving yards in 13 games at the end of the season: 101, 25, 38, 79, 88, 134, 11, 43, 92…

here are justins receiving yards in 13 games at the end of the season: 101, 25, 38, 79, 88, 134, 11, 43, 92, 100, 67, 90, 22. what is the third quartile?

here are justins receiving yards in 13 games at the end of the season: 101, 25, 38, 79, 88, 134, 11, 43, 92, 100, 67, 90, 22. what is the third quartile?

Answer

Explanation:

Step1: Arrange data in ascending order

$11, 22, 25, 38, 43, 67, 79, 88, 90, 92, 100, 101, 134$

Step2: Calculate position of third - quartile

The formula for the position of the third - quartile ($Q_3$) for a data set of size $n$ is $i=\frac{3(n + 1)}{4}$. Here $n = 13$, so $i=\frac{3\times(13 + 1)}{4}=\frac{3\times14}{4}=10.5$.

Step3: Find the third - quartile

Since the position $i = 10.5$, $Q_3$ is the average of the 10th and 11th ordered data values. The 10th value is 92 and the 11th value is 100. So $Q_3=\frac{92 + 100}{2}=\frac{192}{2}=96$.

Answer:

96