14, 25, 15, 21, 12, 15, 24, 22 (a) What is the mean of this data set? If your an

Question

14, 25, 15, 21, 12, 15, 24, 22

(a) What is the mean of this data set? If your answer is not an integer, round your answer to at least one decimal place.

(b) What is the median of this data set? If your answer is not an integer, round your answer to at least one decimal place.

(c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable.

zero modes

one mode:_____

two modes:___, ____

Adults who are being tested for dementia are asked to perform mental tasks such as listing as many animals as they can in one minute. Here are the numbers of animals listed in one minute by normal (non-demented) adults:

14, 25, 15, 21, 12, 15, 24, 22

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Explanation / Answer

The solution is as under.

Mean: The sum of the given 8 numbers is 12 + 14 + 15 + 15 + 21 + 22 + 24 + 25 = 148 . Therefore, the mean is

148 / 8 = 18.5.

Median: The given numbers, arranged in increasing order are 12, 14, 15, 15, 21, 22, 24, 25. Thesr are 8 numbers and the middlemost numbers are 15 and 21. Therefore, the median is (15 + 21) / 2 = 36 / 2 = 18.

Mode: The mode is the number repeated most often, which is 15. There are no zero modes. There is only one mode , i.e. 15.

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