[Solved] MATH225N Week 3 Assignment: Standard Deviation

Question 1

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.

Ans:

Question 2

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

Ans:

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 3

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.

Ans: Variance =

Question 4

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

Ans:

Question 5

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

22, 25, 25, 22, 25, 23, 24, 23, 26, 24

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

16, 14, 15, 15, 16, 16, 15, 16, 18, 14

25, 23, 25, 22, 21, 25, 22, 21, 25, 23

7, 14, 19, 18, 4, 16, 5, 11, 11, 12

Question 6

The following datavalues 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

(Round your answer to 1 decimal place).

Ans:

Question 7

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.

Ans:

Question 8

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.

Ans:

Question 9

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

Ans:

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

 

Solution

Question 1

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.

Ans: variance = 220…………..please follow the link below to purchase the solution at $4