Question

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?

Explanation:

Step1: Sort the data

Sort the receiving yards in ascending order: \(11, 22, 25, 38, 43, 67, 79, 88, 90, 92, 100, 101, 134\)

Step2: Find the position of the third quartile

The formula for the position of the third quartile \(Q_3\) is \(Q_3=\frac{3(n + 1)}{4}\) where \(n = 13\) (the number of data points).

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Step3: Calculate the third quartile

Since the position is \(10.5\), we take the average of the \(10^{th}\) and \(11^{th}\) data points. The \(10^{th}\) data point is \(92\) and the \(11^{th}\) data point is \(100\).

$$ Q_3=\frac{92 + 100}{2}=\frac{192}{2}=96 $$

Answer:

\(96\)