$1, 2, 3, 6, 8$ is a set of five positive integers whose mean is 4 and median is 3. Write down two other sets of five positive integers, each having the same mean and median as this set.

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Solution

We need 5 positive integers with same median, which means our 1st three numbers will be 1,2,3.
now mean should be 4
i.e $\frac{(n_{1} + n_{2} + n_{3} + n_{4} + n_{5})}{5} = 4$
$= \frac{1 + 2 + 3 + n_{4} + n_{5}}{5} = 4$ as $6 + n_{4} + n_{5} = 20$
$n_{4} + n_{5} = 14$
So, we will take one pair as 5,9 and other as 4and10
$∴$
$S = (1, 2, 3, 5, 9)$
$= (1, 2, 3, 4, 10)$

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1,2,3,6,8 is a set of five positive integers whose mean is 4 and median is 3. Write down two other sets of five positive integers, each having the same mean and median as this set.

We need 5 positive integers with same median, which means our 1st three numbers will be 1,2,3.now mean should be 4i.e (n1+n2+n3+n4+n5)5=4 =1+2+3+n4+n55=4 as 6+n4+n5=20 n4+n5=14So, we will take one pair as 5,9 and other as 4and10∴S=(1,2,3,5,9) =(1,2,3,4,10)

$1, 2, 3, 6, 8$ is a set of five positive integers whose mean is 4 and median is 3. Write down two other sets of five positive integers, each having the same mean and median as this set.