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Q: What is the mode of the following data 18 17 12 14 8 21 10 11 19 20 10 5 17 12 10 20?

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There is no mode so the answer is None

10 appears more times than any other number, so it is the mode.

10 and 11

Yes. here is an example: The mode is the most frequent subject that appears in a set of data. So if the data was 2, 5, 5, 7, 10, 10, 10, 10, 11, 12, 13, 13. The mode would be 10 because it appears the most. The mode can be categorical and numerical. I have already proven that the mode can be numerical in the sentences above. For an example of categorical data, say I surveyed some people about what their favorite food was and this was the data: Pizza, pizza, pizza, ice cream, ice cream, strawberries, strawberries, oranges, spaghetti. The mode would have been pizza.

The mode is the data set element(s) that is(are) repeated the most. If every data set element occurs the same number of times, there is no mode. As there is only one occurrence of each data set element in {11, 12, 13} there is no mode. If your data set read {11, 12, 12, 13, 13, 12} your mode would be 12. If your data set read {11, 12, 12, 13, 13} your modes would be 12 & 13.

none of the data repeat (they are all unique) so there is no mode.

Are you in 8P by any chance.

For 8 9 9 9 10 11 11 12: σ=1.3562

That set has no mode.

The mode is 15 because it occurs most often.

16,11,18,11,15,17,11

11

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