# (Solved) Math225 Week 3 Assignment: Standard Deviation

Question

The following dataset represents the salaries for all six employees at a small start-up company.

Find the mean, variance, and standard deviation for this dataset of salaries (expressed in thousands of dollars):

55, 59, 63, 67, 71, 75

Question

Which of the data sets represented by the following histograms has the smallest standard deviation?

Question

A company is interested to know the variation in yearly sales amount for all 5 salespeople in the company.

The dataset shown below is the sales amount sold by the 5 salespeople in the company (expressed in thousands of dollars):

40,60,65,70,80

Find the variance for this dataset.

Question

Which of the data sets represented by the following histograms has the smallest standard deviation?

Question

Which of the following lists of data has the smallest standard deviation?

17, 19, 17. 18, 17, 16, 16, 16. 17, 20

Question

Which of the following lists of data has the largest standard deviation?

24, 15, 21, 23, 9, 22, 12, 21, 20, 13

Question

A large company is interested to know the variation in yearly sales for its salespeople. The dataset shown below is the yearly sales for a sample of 5 salespeople (expressed in thousands of dollars):

40, 60, 65, 70, 80

Find the variance for this dataset.

• Round the final answer to the nearest whole number.

Question

The following data values represent the daily amount spent by a family during a 7 day summer vacation.

Find the population standard deviation of this dataset:

\$96, \$125, \$80, \$110, \$75, \$100, \$121

# Solution:

The following dataset represents the salaries for all six employees at a small start-up company.

Find the mean, variance, and standard deviation for this dataset of salaries (expressed in thousands of dollars):

55, 59, 63, 67, 71, 75