Answered

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Three integers have a mean of 6, median of 6 and a range of 2. Work out the three integers.

Sagot :

Answer:

The 3 integers are 5, 6 and 7.

Step-by-step explanation:

The middle number of the list of digits arranged in ascending order is the median so we have the list  x 6 y where x and y are the other 2 numbers in the list.

Mean = 6  so :

(x + y + 6) / 3 = 6          (A)

and the range is 2  so:

y - x =  2                      (B)

From equation B,  y = x + 2, so substituting for y in equation (A):

(x + x + 2 + 6) / 3 = 6

(2x + 8) / 3 = 6

2x + 8 = 18

2x = 10

x = 5.

Therefore y = 5 + 2 = 7.

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