Colin surveyed 12 teachers at his school to determine how much each person budgets for lunch. He recorded his results in the table.
\begin{tabular}{|c|c|c|c|c|c|}
\hline 10 & 5 & 8 & 10 & 12 & 6 \\
\hline 8 & 10 & 15 & 6 & 12 & 18 \\
\hline
\end{tabular}
What does the relationship between the mean and median reveal about the shape of the data?
The mean is less than the median, so the data is skewed left.
The mean is more than the median, so the data is skewed right.
The mean is equal to the median, so the data is symmetrical.
The mean is equal to the median, so the data is linear.
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Answer
\boxed{The mean is equal to the median (10), so the data is symmetrical.}
Step 1 ：Calculate the mean: \(\frac{10+5+8+10+12+6+8+10+15+6+12+18}{12} = 10\)
Step 2 ：Sort the data and find the median: \([5, 6, 6, 8, 8, 10, 10, 10, 12, 12, 15, 18]\), median = 10
Step 3 ：\boxed{The mean is equal to the median (10), so the data is symmetrical.}
