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) The variance = 2633.31

Step-by-step explanation:

a) The coefficient of skewness formula is given as follows;

Plugging in the values, we have;

Solving gives Q₃ = 56.45

b) To determine the variance, we use the skewness formula as follows;

Plugging in the values, we get;

The variance = σ² = 51.32² = 2633.31.

linear pair postulates