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Question

Thomas recorded the heights of 14 students as shown below.
Key: 5 | 0 = 50
What is the mode of the given data?

A
52, 57, and 58
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B
52, 60, and 67
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C
55, 67, and 72
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D
52, 60, and 72
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Solution

The correct option is B 52, 60, and 67
Following the key, the above stem and leaf diagram can be read as:
50, 52, 52, 55, 58, 60, 60, 62, 63, 67, 67, 70, 71, 72

To find the mode of the given data, we first arrange it into an ordered list of the marks and the frequencies of their occurrence:
50 52 55 58 60 62 63 67 70 71 72
1 2 1 1 2 1 1 2 1 1 1

Thus, the modes of the given data are 52, 60, and 67.

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