Sign up for FREE

3/20/2023-HW Percentiles & Z-Scores

Last updated over 2 years ago

15 questions

1

1

1

1

1

1

1

1

1

1

1

1

1

1

1

Question 1

1.

A normal distribution of scores has a standard deviation of 10.

Find the z-scores corresponding to each of the following values:

A score that is 20 points above the mean.

Question 2

2.

A normal distribution of scores has a standard deviation of 10.

Find the z-scores corresponding to each of the following values:

A score that is 10 points below the mean.

Question 3

3.

A normal distribution of scores has a standard deviation of 10.

Find the z-scores corresponding to each of the following values:

A score that is 15 points above the mean.

Question 4

4.

A normal distribution of scores has a standard deviation of 10.

Find the z-scores corresponding to each of the following values:

A score that is 30 points below the mean.

Question 5

5.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

What is the percentile for 39 mph? (hint: put the values in order and then determine the percentile...round to a whole %)

Question 6

6.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

What is the percentile for 47 mph? (hint: put the values in order and then determine the percentile...round to a whole %)

Question 7

7.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

What is the percentile for 35 mph? (hint: put the values in order and then determine the percentile...round to a whole %)

Question 8

8.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

How far away from the mean is the data value 47mph?

Question 9

9.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

How many standard deviations is 47mph away from the mean? (use a negative sign if it is below the mean)

Question 10

10.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

How far away is the data value 37mph from the mean?

Question 11

11.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

How many standard deviation is 37mph from the mean?

Question 12

12.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

Calculate the standardize score for the data value 33mph.

Question 13

13.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

Calculate the standardize score for the data value 50mph.

Question 14

14.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

Calculate the standardize score for the data value 42mph.

Question 15

15.

The Highway Patrol, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below.

33 48 43 43 41 45 36 40 37 41
35 50 49 39 47 42 45 50 36 41
36 48 43 50 42 40 35 38 38 44

The mean is 42mph and the standard deviation is 5mph.

Calculate the standardize score for the data value 35mph.