Obtain the population standard deviation,σ, for the given data. Assume that the data represent population data. Round
your final answer to one more decimal place than that used for the observations.
-The normal annual precipitation (in inches) is given below for 8 different U.S. cities.
19.2 17.8 6.5 13.2
19.6 17.6 9.6 6.8
A) 5.17
B) 7.59
C) 5.52
D) 26.69

Question

Obtain the population standard deviation,σ, for the given data. Assume that the data represent population data. Round
your final answer to one more decimal place than that used for the observations.
-The normal annual precipitation (in inches) is given below for 8 different U.S. cities. 
19.2 17.8 6.5 13.2
19.6 17.6 9.6 6.8
A) 5.17
B) 7.59
C) 5.52
D) 26.69

Quizplus · Accepted Answer

To calculate the population standard deviation (σ), we first find the mean (average) of the data, then subtract the mean from each data point and square the result, sum those squared differences, divide by the number of data points (since this is a population), and finally take the square root of that result. For the given data: Mean = (19.2 + 17.8 + 6.5 + 13.2 + 19.6 + 17.6 + 9.6 + 6.8) / 8 = 111.2 / 8 = 13.9. Then, calculate the squared differences from the mean, sum them, divide by 8, and take the square root. Doing this calculation gives a standard deviation of approximately 5.17, rounded to one more decimal place than the observations.

Obtain the Population Standard Deviation,σ, for the Given Data