Ask Question
14 January, 14:15

From the list of numbers below, write one number in each box. You may use each number exactly once. 3, 4, 7, 8, 9, 14.

Three Numbers with a mean=8 and MAD=4

+1
Answers (1)
  1. 14 January, 17:58
    0
    Answer: 3, 7 and 14

    Step-by-step explanation:

    We want 3 numbers with a mean of 8, and a MAD of 4.

    if we have the numbers a, b and c.

    The mean is:

    M = (a + b + c) / 3

    MAD = (Ia - MI + Ib - MI + Ic - MI) / 3

    now, we know that M = 8 and MAD = 4, so we can replace those values:

    8 = (a + b + c) * / 3

    3*8 = 24 = a + b + c

    and

    4 = (Ia - 8I + Ib - 8I + Ic - 8I) / 3

    4*3 = 12 = Ia - 8I + Ib - 8I + Ic - 8I

    So now we have the two equations:

    24 = a + b + c

    12 = Ia - 8I + Ib - 8I + Ic - 8I

    Let's took the numbers 3, 7 and 14

    I selected those because are the numbers where the distance between them is the biggest, and they add up to 24, and you can see that the MAD is a big number, which implies that our 3 numbers are not close between them.

    3 + 7 + 14 = 10 + 14 = 24

    and for the MAD

    I3 - 8I + I7 - 8I + I14 - 8I = 5 + 1 + 6 = 12

    So the correct options are 3, 7 and 14
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “From the list of numbers below, write one number in each box. You may use each number exactly once. 3, 4, 7, 8, 9, 14. Three Numbers with a ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers