Here are the numbers of calls received at a customer support service during 7 randomly chosen, hour-long intervals.
\[
9,14,25,23,12,12,22
\]
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\begin{tabular}{|c|c|}
\hline \begin{tabular}{l}
(a) What is the median of this data set? If your answer is not \\
an integer, round your answer to one decimal place.
\end{tabular} & $\square$ \\
\hline \begin{tabular}{l}
(b) What is the mean of this data set? If your answer is not an \\
integer, round your answer to one decimal place.
\end{tabular} & $\square$ \\
\hline \begin{tabular}{l}
(c) How many modes does the data set have, and what are \\
their values? Indicate the number of modes by clicking in the \\
appropriate circle, and then indicate the value(s) of the \\
mode(s), if applicable.
\end{tabular} & \begin{tabular}{l}
zero modes \\
one mode: $\square$ \\
two modes: $\square$ and $\square$
\end{tabular} \\
\hline & $x$ \\
\hline
\end{tabular}
Answer
To find the mode, identify the number that appears most frequently. In this case, the number 12 appears twice, and all other numbers appear only once. So, the mode is \(\boxed{12}\).
Step 1 ：First, organize the data in ascending order: 9, 12, 12, 14, 22, 23, 25
Step 2 ：To find the median, identify the middle number. Since the data set has 7 observations, which is odd, the median is the 4th number. So, \(\boxed{14}\) is the median.
Step 3 ：To find the mean, add up all the numbers and then divide by the number of numbers: \((9 + 12 + 12 + 14 + 22 + 23 + 25) / 7 = 117 / 7\). So, the mean is \(\boxed{16.7}\).
Step 4 ：To find the mode, identify the number that appears most frequently. In this case, the number 12 appears twice, and all other numbers appear only once. So, the mode is \(\boxed{12}\).
