Question

1. what is the interquartile range for the dataset shown? {61, 90, 52, 77, 18, 82, 43} 72 39 25 46

Explanation:

Step1: Order the dataset

First, we order the dataset from least to greatest. The dataset is {18, 43, 52, 61, 77, 82, 90}.

Step2: Find the median (Q2)

Since there are 7 data points, the median (Q2) is the 4th value. So, Q2 = 61.

Step3: Find Q1 (median of lower half)

The lower half of the data (values below Q2) is {18, 43, 52}. The median of this set is the 2nd value, so Q1 = 43.

Step4: Find Q3 (median of upper half)

The upper half of the data (values above Q2) is {77, 82, 90}. The median of this set is the 2nd value, so Q3 = 82.

Step5: Calculate interquartile range (IQR)

The interquartile range is calculated as Q3 - Q1. So, IQR = 82 - 43 = 39.

Answer:

39