Question

Consider the following data set with a mean of 12: 9, 11, 12, 16 Using the equation below or the standard deviation formula in Excel, calculate the standard deviation for this data set. Answer choices are rounded to the hundredths place. s equals square root of fraction numerator 1 over denominator n minus 1 end fraction sum from i equals 1 to n of open parentheses X subscript i minus X with bar on top close parentheses squared end root

Answer 1

To calculate the standard deviation for the given data set, find the variance by calculating the average of the squared deviations from the mean. Then, take the square root of the variance to get the standard deviation.

Step-by-step explanation:

To calculate the standard deviation for this data set, we first need to calculate the variance. The variance is the average of the squared deviations from the mean. In this case, the mean is 12. The deviations from the mean are: -3, -1, 0, 4. Squaring these deviations gives us: 9, 1, 0, 16. The variance is the average of these squared deviations, which is (9+1+0+16)/4 = 26/4 = 6.5.

Next, we take the square root of the variance to get the standard deviation. So the standard deviation is the square root of 6.5, which is approximately 2.55.

Answer 2

1.83

Step-by-step explanation: