Which 5 numbers have mean, median, mode and range 5?

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Statistics have many different metrics. Here you are asked for a data set with 5 numbers, the median, mean, mode and range of which is 5.

NRICH is a project of the math faculty at Cambridge University in England. It provides students of all ages and teachers with learning and teaching material free of charge. This also includes a large number of math problems, some of which are counted as entertainment math. A task for 11 to 14 year olds deals with the mean, median, mode and range.

Descriptive statistics describe data series using key figures. Some of these are the mean, median, mode, and range. The mean of n numbers is the sum of the numbers divided by n. If you order the n numbers according to size, the median, if n is odd, is the middle number. If n is even, the median is the mean of the two middle numbers. The mode, on the other hand, represents the most frequently occurring number. However, it is not always unique, a data series can have several modes. The range is the difference between the largest and smallest number.

For which five integers is it true that their mean, median, mode, and range are each 5?

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