The average (arithmetic mean) of 7 numbers in a certain list is 12. The average of the 4 smallest numbers in this list is 8, while the avera

Question

The average (arithmetic mean) of 7 numbers in a certain list is 12. The average of the 4 smallest numbers in this list is 8, while the average of the 4 greatest numbers in this list is 17. How much greater is the sum of the 3 greatest numbers in the list than the sum of the 3 smallest numbers in the list

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Adeline 4 weeks 2021-10-01T04:44:25+00:00 1 Answer 0

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    2021-10-01T04:46:17+00:00

    Answer:

    Step-by-step explanation:

    Let the 4 greatest numbers be, A, B, C D

    (A + B + C + D)/4 = 8

    Total sum = 4 × 8

    = 32

    Let the 4 lowest numbers be, D, E F G,

    (D + E + F + G)/4 = 20

    Total number = 4 × 20

    = 80

    Hence, the difference between the sums of the 3 greatest number and the 3 smallest numbers:

    A, B, C and E, F, G

    = D + (E + F + G) – (A + B + C) – D

    = (E + F + G) – (A + B + C)

    = 80 – 32

    = 48.

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45:7+7-4:2-5:5*4+35:2 =? ( )