In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient skewness is −0.38 a) What is the approximate value of the third quartile (Q3 ), correct to 2 decimal places.
b)What is the approximate value of the variance, correct to the nearest whole number

a) The third quartile Q₃ = 56.45

b) Variance

Step-by-step explanation:

Given that :

 =  30.8

Median =  48.5

Mean  = 42

a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :

Divide both sides by 1.38

b) The objective here is to determine the approximate value of the variance;

Using the relation

Variance =  

4 + 5 7/9= 9 7/9

step-by-step explanation: