The population variance qand standard deviation of the given data set would be = 78.88 and 8.9 respectively.
How to calculate the population mean and standard deviation?
To calculate the population mean and standard deviation, the following steps should be used as listed;
The formula for population variance;
=S(xi-u)²/n
where
u = mean = S(xi)/n
= 60.1+67.6+71.8+47.2+76.8+70.3+70.2+58.4/8
= 522.4/8
= 65.3
Variance;
(xi-u)² = (60.1-65.3)²+(67.6-65.3)²+(71.8-65.3)²+(47.2-65.3)²+
(76.8-65.3)²(70.3-65.3)²+(70.2-65.3)²+(58.4-65.3)
= 27.04+5.29+42.25+327.61+132.25+25+24.01+47.61
= 631.06
Variance = S(xi-u)²/n
= 631.06/8
= 78.88
Standard deviation= √variance
= √78.88 = 8.9