2.39 Calculate the mode, mean, and median of the following data:
\[
\begin{array}{llllllllll}
22 & 9 & 18 & 10 & 19 & 20 & 13 & 11 & 14 & 10
\end{array}
\]

Answer

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Answer

Find the median by locating the middle value(s) in the sorted data: \(\frac{13+14}{2} = \boxed{13.5}\)

Steps

Step 1 ：Sort the data in ascending order: \(9, 10, 10, 11, 13, 14, 18, 19, 20, 22\)

Step 2 ：Find the mode by identifying the number that appears most frequently: \(\boxed{10}\)

Step 3 ：Calculate the mean by summing up all the numbers and dividing by the total count: \(\frac{9+10+10+11+13+14+18+19+20+22}{10} = \boxed{14.6}\)

Step 4 ：Find the median by locating the middle value(s) in the sorted data: \(\frac{13+14}{2} = \boxed{13.5}\)