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Mode for Ungrouped Data

15, 14, 19, 2...

Question

15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15, 18, 20, 16, 18, 19.
The mode of the given data is ______.

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Solution

Arranging the given data in a frequency distribution:
$\begin{matrix} x & 14 & 15 & 16 & 17 & 18 & 19 & 20 f & 4 & 5 & 2 & 1 & 3 & 3 & 2 \end{matrix}$
x = 15 has the highest frequency, f = 5. Hence the mode is 15.

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