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four and sixteen
16 - 4 = 12
16 + 4 = 20 then 20 / 2 = 10
Half of 12 is 6, therefore the two numbers 10 - 6 = 4 and 10 + 6 = 16 will have a mean of 10 and a range of 12.
Further numbers can be added between 4 and 16 as long as their mean is still 10, eg the data sets:
- {4, 16}
- {4, 10, 16}
- {4, 8, 12, 16}
- {4, 8, 10, 12, 16}
- {4, 7, 9, 14, 16}
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What 2 numbers have a mean of 10 and a range of 4?
eight and twelveas mean is 10 then startwith 10 then divide the range of 4 by 2 = 2and take 2 off and add 2 on10 - 2 = 8 and 10 + 2 = 12Check:8 + 12 = 20 then divide those 2 numbers by that 2 so 20 / 2 = 10 mean12 - 8 = 4 range
What 7 numbers has a range of 10 and a mean of 12?
7, 10, 11, 12, 13, 14, 17
Which two numbers have a mean of 10 and a range of 4?
8 and 12
Which 2 numbers have a mean of 10 and a range of 4?
As there are two numbers, the range is the difference between themAs there are 2 numbers the mean is exactly in the middle of them.Thus half the range is less than the mean and half the range is greater than the mean.Thus the two numbers are 10 ± (4/2) = 10 ± 2 = 8 and 12.Algebraically, this can be seen:Let the two numbers be x and y with y > xThen:their range is y - x = 4; andtheir mean is (x + y) / 2 = 10{2} can be rearrange to give x + y = 10 × 2 → y + x = 20adding {3} to {1} yields: (y + y) + (-x + x) = 20 + 4 → 2y = 24 → y = 12subtracting {1} from {3} yields (y - y) + (x - -x) = 20 - 4 → 2x = 16 → x = 8→ the two numbers are 8 and 12.
Four numbers have a mean of 10 and a median of 10 but none of the numbers is 10?
8, 9, 11 and 12
