MATH225 Week 3 Assignment Standard Deviation (July 2019)

MATH 225 Statistical Reasoning for the Health Sciences

Week 3 Assignment Standard Deviation

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

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

25, 26, 23, 17, 21, 28, 28, 23, 25, 16

5, 21, 13, 12, 19, 10, 16, 19, 8, 7

17, 16, 9, 10, 14, 6, 8, 16, 16, 2

33, 33, 30, 32, 31, 24, 28, 23, 24, 23

Question 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

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

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 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

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

A histogram has a horizontal axis from 0 to 140 in increments of 20 and a vertical axis from 0 to 140 in increments of 20. The histogram has vertical bars of width 3, starting at the horizontal axis value of 58. The approximate heights of the bars are as follows, where the horizontal axis label is listed first and the approximate height is listed second: 58, 1; 61, 10; 64, 36; 67, 78; 70, 150; 73, 150; 76, 138; 79, 72; 82, 22; 85, 5.

A histogram has a horizontal axis from 0 to 140 in increments of 20 and a vertical axis from 0 to 140 in increments of 20. The histogram has vertical bars of width 3, starting at the horizontal axis value of 43. The approximate heights of the bars are as follows, where the horizontal axis label is listed first and the approximate height is listed second: 42, 0.5; 45, 2; 48, 8; 51, 10; 54, 18; 59, 24; 62, 37; 65, 57; 68, 64; 71,65; 74, 80; 77, 78; 80, 63; 83, 53; 85, 40; 88, 37; 92, 18; 95, 3; 98, 2; 101, 3; 104, 0.1.

A histogram has a horizontal axis from 0 to 140 in increments of 20 and a vertical axis from 0 to 140 in increments of 20. The histogram has vertical bars of width 3, starting at the horizontal axis value of 5. The approximate heights of the bars are as follows, where the horizontal axis label is listed first and the approximate height is listed second: 5, 0.2; 26, 3; 32, 8; 35, 10; 38, 1; 41, 5; 44, 16; 47, 18; 50, 15; 53, 20; 56, 22; 59, 40; 62, 30; 64, 35; 67, 50; 70, 43; 73, 36; 76, 39; 79, 40; 82, 38; 85, 30; 88, 28; 92, 22; 95, 21; 98, 18; 101, 17; 104, 4; 107, 14; 110, 8; 113, 4; 116, 6; 119, 2; 122, 4.

A histogram has a horizontal axis from 0 to 140 in increments of 20 and a vertical axis from 0 to 140 in increments of 20. The histogram has vertical bars of width 3, starting at the horizontal axis value of 30. The approximate heights of the bars are as follows, where the horizontal axis label is listed first and the approximate height is listed second: 30, 0.5; 36, 1; 39, 3; 42, 5; 45, 15; 49, 10; 52, 18; 55, 40; 58, 49; 61,43; 64, 41; 67, 44; 70, 53; 73, 48; 76, 57; 79, 50; 82, 57; 85, 32; 89, 22; 92, 21; 95, 20; 98, 18; 101, 6; 103, 5; 106, 3; 109, 2; 112, 2; 115, 0.1; 118, 2; 124, 0.1.

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

11, 17, 9, 4, 4, 6, 6, 9, 8, 18

29, 21, 21, 28, 28, 26, 24, 24, 17, 23

6, 8, 10, 6, 8, 8, 10, 7, 10, 10

23, 19, 12, 19, 17, 18, 16, 10, 12, 21

17, 12, 6, 6, 15, 16, 20, 20, 5, 17

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

Question For the following dataset, you are interested to determine the “spread” of the data.

Would you employ calculations for the sample standard deviation, or population standard deviation for this dataset:

Ages of all students in a Statistics course with an enrollment of 30 students.

Use calculations for sample standard deviation

Use calculations for population standard deviation