Problem

Given the following data set: 2, 5, 7, 9, 12, 15, 18, 21, 23, 25. Calculate the interquartile range.

Solution

Step 1 :Step 1: First, we arrange the data in ascending order, which is already done.

Step 2 :Step 2: Split the data into two halves. The lower half is: 2, 5, 7, 9, 12. The upper half is: 15, 18, 21, 23, 25.

Step 3 :Step 3: Find the median of both halves. The median of the lower half (Q1) is 7. The median of the upper half (Q3) is 21.

Step 4 :Step 4: Subtract Q1 from Q3 to find the interquartile range. \(Q3 - Q1 = 21 - 7 = 14\).

From Solvely APP
Source: https://solvelyapp.com/problems/rmxa0h1rkQ/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download