the average estimated hours a person in the united states spent playing video games per year from 2002 to…
the average estimated hours a person in the united states spent playing video games per year from 2002 to 2012 were 71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142. use the statistics calculator to find the variance and population standard deviation. round answers to the nearest whole number. the variance of this data set is. the population standard deviation for this data set is.
Answer
Explanation:
Step1: Input data into calculator
Input the data set (71,80,82,78,80,91,107,121,125,131,142) into a statistics calculator.
Step2: Calculate variance
Using the formula for population variance (\sigma^{2}=\frac{\sum_{i = 1}^{N}(x_{i}-\mu)^{2}}{N}) (where (N) is the number of data points and (\mu) is the population mean). After calculation, the variance is approximately (543).
Step3: Calculate population standard deviation
The population standard deviation (\sigma=\sqrt{\sigma^{2}}). So (\sigma=\sqrt{543}\approx23) (since (\sqrt{543}\approx23.3) and we round to the nearest whole number).
Answer:
The variance of this data set is (543). The population standard deviation for this data set is (23).