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23 February, 20:53

The range of five numbers is 10, the mean is 13.6, the median is 14,

and there is no mode. Find a possible data set.

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  1. 23 February, 21:02
    0
    8 13 14 15 18.

    Step-by-step explanation:

    The median (the middle number) is 14 so we have

    x x 14 x x where x is a single number with each number being different (as there is no mode).

    The mean is 13.6 so we have the total numbers

    = 13.6 * 5 = 68.

    The 4 numbers left must total 68-14 = 54 and the difference between the highest and lowest is 10.

    I sense that the lowest and highest will add up to about 1/2 of 54 so:

    Try 8 and 18 for these last 2 numbers

    The list would be 8 x 14 x 18.

    The 2 numbers left will add up to 54 - 26 = 28. One of these must be <14 and the other> 14. 13 and 15 would fit.

    So a possible data set is:

    8 13 14 15 18.
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