Question

Mean of 17, 4, 8, 6, 15 is ‘m’ and median of 8, 14, 10, 5, 7, 20, 19, n is (m – 1). Find the values of ‘m’ and

‘n’.​

Answer 1

Answer:

The mean of observation is the sum of the observations divided by the no. of the observations.

Consider the observations 17, 4, 8, 6, 15.

Given that the mean of these observations is m. The no. of observations is 5.

Thus,

\begin{gathered}\displaystyle \begin{aligned}&\frac{17+4+8+6+15}{5}=m \\ \\ \\ \Longrightarrow\ \ &\frac{50}{5}=m \\ \\ \\ \Longrightarrow\ \ &\bold{10=m}\end{aligned}\end{gathered}

⟹

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5

17+4+8+6+15

=m

5

50

=m

10=m