# Individual Assignment #8 z Score Zealots

Question 1

Not yet graded / 1 pts

Imagine you’ve just started training to run a half marathon (13.1 miles). You’re curious how long it takes other people to run that distance, so you ask 17 of your other beginner running friends how long it takes them, and you found the following answers:

Time to complete half marathon (in minutes)

110, 115, 120, 120, 125, 125, 130, 130, 130, 130, 130, 130, 135, 135, 140, 140, 150

Construct a line plot of the data. Use time to complete the marathon (in minutes) as your X axis and frequency (number of people with each time) as your Y axis. Create your line plot and then upload it here (if you create it on your computer, save and upload the file; if you create it with pen and paper, take a photo and upload that).

Question 2

1 / 1 pts
Calculate the mean for the dataset (above).

M = 139.121

M = 135.671

M = 129.118

M = 130.000

Question 3

1 / 1 pts
Calculate the standard deviation for the dataset (Note: When computing, remember to use n – 1 rather than n).

SD = 6.673

SD = 9.720

SD = 94.478

SD = 8.578

Question 4

0.5 / 0.5 pts
How many people’s running times are above the mean?

5

11

9

4

Question 5

0.5 / 0.5 pts
How many are below the mean?

10

6

7

12

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Question 6

1 / 1 pts
How many people are within one standard deviation of the mean?

12

7

8

11

IncorrectQuestion 7

0 / 1 pts
Calculate the z score for your friend who completed the half marathon in 110 minutes

1.83

-1.97

-1.83

1.97

Question 8

1 / 1 pts
Calculate the z score for your friend who completed the half marathon in 130 minutes.

0.00

-0.42

-.0.09

0.09

Question 9

1 / 1 pts
Calculate the z score for your friend who completed the half marathon in 140 minutes.

1.45

-1.12

0.61

-0.42

-1.45

-1.52

1.12

1.52

Question 10

1 / 1 pts
Calculate the z score for your friend who completed the half marathon in 150 minutes. Type your answer below and round to only two decimal places in your answer!

Question 11

1 / 1 pts
Imagine that you meet a new friend who is also a beginner, and she can run the half marathon in 128 minutes. You wonder what percentage of the beginner running population could run the marathon faster than your new friend (that is, what percentage of the population has a time that is less than your new friend?). (Hint: use Appendix B.1 to answer this question)?

11%

45.62%

54.38%

32.00%