**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

(Round your answers to one decimal place)

Select the correct answer below:

**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.

Provide your answer below:

**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**

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

Select the correct answer below:

Answer: Figure 2

**Question**

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

Select the correct answer below:

** **

Select the correct answer below:

30, 21, 19, 17, 16, 32, 26, 25, 19, 16

5, 11, 15, 7, 5, 9, 8, 16, 14, 11

25, 24, 28, 18, 32, 34, 34, 22, 28, 19

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

9, 16, 14, 22, 20, 9, 19, 16, 21, 8

** **

**Question **

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

** **

Select the correct answer below:

**Question**

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

Select the correct answer below:

9, 11, 13, 10, 13, 13, 13, 9, 9, 10

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

15, 18, 18, 18, 18, 15, 15, 15, 16, 16

23, 24, 23, 24, 26, 25, 26, 23, 26, 24

10, 12, 13, 11, 11, 14, 14, 11, 12, 12

**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

**Question**

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

Find the sample standard deviation of this dataset:

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

- Round the final answer to one decimal place.

**Question**

The data below are the monthly average high temperatures for November, December, January, and February in New York City from the Country Studies/Area Handbook Series sponsored by the U.S. Department of the Army between 1986 and 1998. What is the sample standard deviation?

54,42,40,40

- Round the final answer to one decimal place.

Select the correct answer below:

6.7

3

45.3

136

**Solution:**

**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

(Round your answers to one decimal place)

Select the correct answer below:

**Correct answer:**

Mean = 65.0, Standard Deviation = 6.8, Variance = 46.7

**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.

Provide your answer below:

Answer= 176(Note the difference between this question & the next one)

**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.

Answer: 220

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