Question

Refer to the frequency distribution table given in Section 1.3 Exercise 12 of the text. What is the standard deviation of this sample data?

A) 1.2
B) 1.5
C) 1.8
D) 2.0

Answer 1

To calculate the standard deviation of a sample data set, you can use the formula: Standard Deviation = sqrt(sum((x - mean)^2)/n). You can calculate the squared difference between each data point and the sample mean, sum up all these squared differences, divide the sum by the sample size, and finally take the square root of the result to get the standard deviation.

Step-by-step explanation:

To calculate the standard deviation of this sample data, you can use the formula:

Standard Deviation = sqrt(sum((x - mean)^2)/n)

Where x is each data point, mean is the sample mean, and n is the sample size.

Calculate the squared difference between each data point and the sample mean. Sum up all these squared differences. Divide the sum by the sample size. Finally, take the square root of the result to get the standard deviation.

Using the frequency distribution table given, you can calculate the standard deviation manually or use a statistical software.