Problem

Answer the statistical measures and create a box and whiskers plot for the following set of data. \[ \begin{array}{l} 6,7,8,9,9,9,10,12,13,13,13,15,16 \\ \text { Min: } \square \text { Q1: } \square \text { Med: } \square \text { Q3: } \square \text { Max: } \square \end{array} \] Create the box plot by dragging the lines:

Solution

Step 1 :Sort the data in ascending order: \(6, 7, 8, 9, 9, 9, 10, 12, 13, 13, 13, 15, 16\)

Step 2 :Calculate the minimum (Min): \( \min = 6 \)

Step 3 :Calculate the first quartile (Q1): \( Q1 = 9 \)

Step 4 :Calculate the median (Med): \( \text{Med} = 10 \)

Step 5 :Calculate the third quartile (Q3): \( Q3 = 13 \)

Step 6 :Calculate the maximum (Max): \( \max = 16 \)

Step 7 :\( \boxed{\text{Min: 6, Q1: 9, Med: 10, Q3: 13, Max: 16}} \)

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Source: https://solvelyapp.com/problems/GVlv21s9vF/

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