2. The mean of 5 numbers is 10. The median is 13. What might the numbers be? Find 2 different answers.

Mean is the average.

10 x 5 = 50

All 5 numbers need to add up to 50.

Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.

Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)

4 +3 = 7

14+16 = 30

1 set could be 3, 4 ,13, 14, 16

A 2nd set could be:

1 +2 = 3

16 + 18 = 34

1,2,13,16,18

Sum of all number = mean × numbers

= 5 × 10 = 50.

If median is 13 so, there must be 2 number before and after 13.

Sum of remaining 4 numbers

= 50 - 13 = 37.

so, two numbers may be,

14 + 16 = 30.

3 + 4 = 7.

1st ans = 3, 4, 13, 14, 16.

1 + 3 = 4.

15 + 18 = 33.

2nd ans = 1, 3, 13, 15, 18.

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