What are the mode, median, and mean of {15, 27, 29, 13, 18, 19, 15, 19, 19, 27, 15, 22, 13, 26, 20}?

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What are the mode, median, and mean of {15, 27, 29, 13, 18, 19, 15, 19, 19, 27, 15, 22, 13, 26, 20}?

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Answer 1 · 2015-11-22T14:20:14

Mode: $15$ $15$ and $19$ $19$
Median: $19$ $19$
Mean: $19.8$ $19.8$

Explanation:

The mode is the most commonly occurring data value;
in this case both $15$ $15$ and $19$ $19$ occur $3$ $3$ times so they both represent modal values.

The median is the value which occurs in the middle of the data values when the data has been sorted (if there were an even number of data values, it would be the average of the 2 middle values).
In this case there are $15$ $15$ data values so the middle (of the sorted data values) is the $8 t h$ $8th$ entry.

The mean is the arithmetic average of all data values.

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What are the mode, median, and mean of {15, 27, 29, 13, 18, 19, 15, 19, 19, 27, 15, 22, 13, 26, 20}?

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