Problem

Find the median of the following data set. Assume the data set is a sample. \[ 33,20,13,26,27,22,21,25,20,14,31,18 \]

Solution

Step 1 :Given the data set: \(33,20,13,26,27,22,21,25,20,14,31,18\)

Step 2 :First, sort the data set in ascending order: \(13, 14, 18, 20, 20, 21, 22, 25, 26, 27, 31, 33\)

Step 3 :Since the data set has an even number of observations, the median is the average of the 6th and 7th numbers in the sorted list.

Step 4 :Calculate the average of the 6th and 7th numbers: \(\frac{21 + 22}{2} = 21.5\)

Step 5 :Final Answer: The median of the data set is \(\boxed{21.5}\)

From Solvely APP
Source: https://solvelyapp.com/problems/NMbNhb3P6C/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download