Write down seven numbers that have a range of 10 and a mean of 12
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Considering the case,
range 10, mean 12
Means highest-lowest=10
and sum of all no./7=12
implies that sum of all no.=84
Let us take 12 to be one of the numbers.
Then others sum=72.
Then we can take 3 pairs of sum of 2 nos=24
One pair will have highest and lowest.
high +low =24
high -low =10
adding both we get high=17 low=7
3 numbers are constant 7,12,17
Then, others can be 2 of the pairs from 8,16 9,15 10,14 11,13
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