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Question
if the mean is 20, then choose a correct interpretation of the mean below.
the number that occurs most in the data is 20.
25% of the data is greater than 20.
half of the data is less than 20
the average of the data is 20.
The mean (average) of a dataset is calculated as the sum of all values divided by the number of values. By definition, if the mean is 20, the average of the data is 20. The other options are incorrect: the number that occurs most is the mode, half the data being less than 20 relates to the median, and 25% of data greater than 20 relates to quartiles, not the mean.
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The average of the data is 20.