1. (a) Give one practical example for each where Arithmetic mean, Geometric Mean and Harmonic can be applied. (b) The following data shows fuel consumption (miles/(US) gallon) of different aspects of...

1. (a) Give one practical example for each where Arithmetic mean, Geometric Mean and Harmonic can be applied.
(b) The following data shows fuel consumption (miles/(US) gallon) of different aspects of automobile design.

i) Find the Arithmetic mean and Median. Comment the Skewness by comparing Mean and Median.

ii) If it is given that ∑⁸
_i=1(xi − x̅)²
= 520.6493 then find the standard deviation.

iii) Calculate the x̅± 3.s interval. Is there any measurement (Fuel Consumption) falls outside this interval? How will you interpret this measurement, if so?