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24 May, 14:27

Remove a number from the following data set so the mean is 20.

10, 12, 20, 23, 25

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  1. 24 May, 17:57
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    Take £ to be sigma

    mean=£fx/£f

    This means the sum of the digits divided by the number of digits

    So from the above question 10+12+20+23+25=90 but 90 - 10 = 80

    And 80 divided by 4 is 20

    therefore the mean is 20.

    Step-by-step explanation:

    First of all, since the sum of the above digits is 90, we would need to exclude one of the above digits to make the number, a number divisible by 4 (since we have excluded one of the 5 digits to make it 4) equal to 20.

    So systematically, the equation would be defined as

    x/4 = 20/1

    hence we cross multiply and x becomes

    x = 20 * 4

    therefore x = 80

    Hence, since x = 80 we divide this by our number of digits above hence giving you

    80 : 4 = 20

    So from the above equation, we would need to exclude 10 to give us our mean of 20.
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