Problem

Given the following set of data points: {6, 9, 15, 18, 22}, calculate the midhinge.

Solution

Step 1 :Step 1: First, arrange the data points in ascending order: \(6, 9, 15, 18, 22\). The first quartile \(Q_1\) is the median of the lower half of the data (not including the median if the number of data points is odd), and the third quartile \(Q_3\) is the median of the upper half of the data (not including the median if the number of data points is odd).

Step 2 :Step 2: To find \(Q_1\), we take the median of the lower half of the data, which is 9. To find \(Q_3\), we take the median of the upper half of the data, which is 22.

Step 3 :Step 3: The formula for the midhinge is \(\frac{Q_1 + Q_3}{2}\). Substituting the values we found for \(Q_1\) and \(Q_3\), we get \(\frac{9 + 22}{2}\).

From Solvely APP
Source: https://solvelyapp.com/problems/77faduumtB/

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