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What is the mean absolute deviation of the temperatures?
First Day Temperatures

Month
Temperature
^(@)^(@) F)

January
9

February
15

March
20

April
18

May
19

June
27

What is the mean absolute deviation of the temperatures? $\newline$ First Day Temperatures $\newline$ \begin{tabular}{|c|c|} $\newline$ \hline Month & Temperature $^{\circ}{ }^{\circ}$ F) \\ $\newline$ \hline January & $9$ \\ $\newline$ \hline February & $15$ \\ $\newline$ \hline March & $20$ \\ $\newline$ \hline April & $18$ \\ $\newline$ \hline May & $19$ \\ $\newline$ \hline June & $27$ \\ $\newline$ \hline $\newline$ \end{tabular}

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Interpret measures of center and variability

Full solution

Q. What is the mean absolute deviation of the temperatures?

\newline

First Day Temperatures

\newline

\begin{tabular}{|c|c|}

\newline

\hline Month & Temperature

^{\circ}{ }^{\circ}

F) \\

\newline

\hline January &

9

\\

\newline

\hline February &

15

\\

\newline

\hline March &

20

\\

\newline

\hline April &

18

\\

\newline

\hline May &

19

\\

\newline

\hline June &

27

\\

\newline

\hline

\newline

\end{tabular}

Calculate Mean: Find the mean of the temperatures. $\newline$ $(9 + 15 + 20 + 18 + 19 + 27) / 6 = 108 / 6 = 18$ $\newline$ Mean temperature: $18$
Absolute Deviations: Calculate the absolute deviations from the mean. $\newline$ $|9 - 18| = 9$ $\newline$ $|15 - 18| = 3$ $\newline$ $|20 - 18| = 2$ $\newline$ $|18 - 18| = 0$ $\newline$ $|19 - 18| = 1$ $\newline$ $|27 - 18| = 9$
Mean of Deviations: Find the mean of these absolute deviations. $\newline$ $(9 + 3 + 2 + 0 + 1 + 9) / 6 = 24 / 6 = 4$ $\newline$ Mean absolute deviation: $4$

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