Question

jayden is a running back for his high school football team. in the first 3 games of the season he got 8 carries. the yards gained for each carry are given below
11 2 4 17 5 0 3 6
calculate each of the following

1. range 17
2. interquartile range (iqr)

Explanation:

Step1: Order the data

First, we order the data set: \(0, 2, 3, 4, 5, 6, 11, 17\)

Step2: Find Q1 and Q3

The median of the lower half (first 4 numbers: \(0, 2, 3, 4\)): \(Q1=\frac{2 + 3}{2}=2.5\)
The median of the upper half (last 4 numbers: \(5, 6, 11, 17\)): \(Q3=\frac{6 + 11}{2}=8.5\)

Step3: Calculate IQR

IQR is \(Q3 - Q1\), so \(8.5 - 2.5 = 6\)

Answer:

6