Question

Instructions: Imagine you’ve just started training to run a 10k (6.2 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 10k (6.2 miles):

51 53 55 55 57 57 59 59 59 59 61 61 63 63 65 65 69

Question 1:

Construct a line plot of the data. Use time to complete the 10k 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:

Calculate the mean for the dataset (above).

a) M = 64.52

b) M = 55.72

c) M = 58.00

d) M = 59.47

Question 3:

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

a)SD = 21.76

b)SD = 4.53

c)SD = 3.46

d)SD = 4.66

Question 4:

How many people's running times are above the mean?

a)4

b)9

c)7

d)5

Question 5:

How many are below the mean?

a)10

b)6

c)12

d)9

Question 6:

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

a)10

b)11

c)8

d)12

Question 7:

Calculate the z score for your friend who completed the 10k in 51 minutes.

a)-1.82

b)1.93

c)-1.77

d)1.77

Question 8:

Calculate the z score for your friend who completed the 10k in 61 minutes.

a)0.33

b)1.52

c)-1.52

d)-0.33

Question 9:

Calculate the z score for your friend who completed the 10k in 59 minutes

a)-0.10

b)0.10

c)-1.52

d)1.52

Question 10:

Calculate the z score for your friend who completed the 10k in 65 minutes.