Question

In a data set the smallest observation is 45. It's Coefficient of range is 0.25, Find the Highest observation .Also find the range of data

Answer 1

hello Frnd

As we know that

Range = Highest value - Lowest value

and Coefficient of range = Highest value - Lowest value / highest value + Lowest value

Here Given

Lowest value = 45
Cofficient of range = 0.25
let highest value as H

0.25 = H - 45 / H + 45

0.25 ( H + 45 ) = H - 45

0.25 H + 11.25 = H - 45

45 + 11.25 = H - 0.25H

56.25 = 0.75 H

H = 75

Hence the Highest Value is 75

Now Range = 75 - 45 = 30


hope it helps
#jerri