Zuestion $20$ $\newline$ Tlme Remaining: $18$ mins $\newline$ Answer the statistical measures and create a box and whiskers plot for the following data. $\newline$ $\begin{array}{c} 2,2,3,4,6,8,9,10,10,11,11,11,12,14,14 \\ \text { Min: } \square \text { Q1: } \square \text { Med: } \square \text { Q3: } \square \text { Max: } \square \end{array}$ $\newline$ Q $1$ : $\newline$ Med: Q $3$ : Max: $\newline$ Create the box plot by dragging the lines:

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Q. Zuestion

20

\newline

Tlme Remaining:

18

mins

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Answer the statistical measures and create a box and whiskers plot for the following data.

\newline

\begin{array}{c} 2,2,3,4,6,8,9,10,10,11,11,11,12,14,14 \\ \text { Min: } \square \text { Q1: } \square \text { Med: } \square \text { Q3: } \square \text { Max: } \square \end{array}

\newline

1

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Med: Q

3

: Max:

\newline

Create the box plot by dragging the lines:

Find Min and Max: Find the minimum (Min) value. $\newline$ Min = $2$ (the smallest number in the data set).
Calculate Median: Find the maximum ( $\text{Max}$ ) value. $\text{Max} = 14$ (the largest number in the data set).
Calculate Q $1$ : Calculate the median (Med), which is the middle value of the data set. $\newline$ Since there are $15$ numbers, the median is the $8^{\text{th}}$ number. $\newline$ $\text{Med} = 10$ .
Calculate Q $3$ : Calculate the first quartile ( $Q_1$ ), which is the median of the first half of the data. $\newline$ The first half of the data (before the median): $2, 2, 3, 4, 6, 8, 9$ . $\newline$ Since there are $7$ numbers, $Q_1$ is the $4$ th number. $\newline$ $Q_1 = 4$ .
Create Box Plot: Calculate the third quartile ( $Q_3$ ), which is the median of the second half of the data. $\newline$ The second half of the data (after the median): $10, 11, 11, 11, 12, 14, 14$ . $\newline$ Since there are $7$ numbers, $Q_3$ is the $4$ th number. $\newline$ $Q_3 = 11$ .
Create Box Plot: Calculate the third quartile ( $Q_3$ ), which is the median of the second half of the data. $\newline$ The second half of the data (after the median): $10, 11, 11, 11, 12, 14, 14$ . $\newline$ Since there are $7$ numbers, $Q_3$ is the $4$ th number. $\newline$ $Q_3 = 11$ .Create the box plot by dragging the lines. $\newline$ Unfortunately, as a text-based AI, I cannot physically drag lines to create a box plot, but I can describe it. $\newline$ The box plot would have a line at Min ( $2$ ), a box starting at $Q_1$ ( $4$ ), a line in the box at Med ( $10$ ), a box ending at $Q_3$ ( $10, 11, 11, 11, 12, 14, 14$ $1$ ), and a line at Max ( $10, 11, 11, 11, 12, 14, 14$ $2$ ).