High School

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What is the mode of the data set?

A. 70.52
B. 72
C. 72.33
D. 71

[tex]
\[
\begin{array}{|l|l|l|}
\hline
\multicolumn{3}{|l|}{\text{Heights of 33 men (in inches)}} \\
\hline
65 & 70 & 71 \\
\hline
66 & 70 & 71 \\
\hline
66 & 70 & 72 \\
\hline
67 & 70 & 72 \\
\hline
68 & 70 & 73 \\
\hline
69 & 71 & 73 \\
\hline
69 & 71 & 73 \\
\hline
69 & 71 & 73 \\
\hline
69 & 71 & 75 \\
\hline
69 & 71 & 75 \\
\hline
69 & 71 & 77 \\
\hline
\end{array}
\]
[/tex]

Answer :

To find the mode of a data set, we look for the value that appears most frequently. Let's examine the given list of heights:

65, 70, 71, 66, 70, 71, 66, 70, 72, 67, 70, 72, 68, 70, 73, 69, 71, 73, 69, 71, 73, 69, 71, 73, 69, 71, 75, 69, 71, 75, 69, 71, 77

Now, let's count how many times each number occurs in the list:

- 65 appears 1 time.
- 66 appears 2 times.
- 67 appears 1 time.
- 68 appears 1 time.
- 69 appears 6 times.
- 70 appears 5 times.
- 71 appears 8 times.
- 72 appears 2 times.
- 73 appears 4 times.
- 75 appears 2 times.
- 77 appears 1 time.

From these counts, we can see that the number 71 appears the most frequently, with a total of 8 occurrences.

Therefore, the mode of this data set is 71.

So, the correct answer is D. 71.

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