Problem

Calculate the five-number summary of the given data. \[ 17,15,2,11,21,23,4,14,18,8,19,5,24,22 \] Answer Enter your answers in ascending order, separating each answer with a comma.

Solution

Step 1 :Sort the given data in ascending order: \(2, 4, 5, 8, 11, 14, 15, 17, 18, 19, 21, 22, 23, 24\)

Step 2 :Identify the minimum value: \(2\)

Step 3 :Calculate the first quartile (Q1), which is the median of the data points to the left of the median. In this case, Q1 is \(8.75\)

Step 4 :Calculate the median (Q2), which is the middle number if the data set has an odd number of observations, or the average of the two middle numbers if the data set has an even number of observations. In this case, the median is \(16\)

Step 5 :Calculate the third quartile (Q3), which is the median of the data points to the right of the median. In this case, Q3 is \(20.5\)

Step 6 :Identify the maximum value: \(24\)

Step 7 :Final Answer: The five-number summary of the given data is \(\boxed{2, 8.75, 16, 20.5, 24}\)

From Solvely APP
Source: https://solvelyapp.com/problems/yh8PuICtcd/

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