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Normal Distributions

Authored by Julie Sipe

Mathematics

11th Grade - University

CCSS covered

Used 28+ times

Normal Distributions
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

-1.33
1.33
0.88
1.02

Tags

CCSS.HSS.ID.A.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have less than 5 accidents?

0.6915
0.1762
0.8238
-0.93

Tags

CCSS.HSS.ID.A.4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5.  What proportion of weeks would you expect to have more than 7 accidents?

0.3446
0.2856
0.4
0.6554

Tags

CCSS.HSS.ID.A.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
Suppose a male long jumper's jump ranked in the 75th percentile.  How long was his jump?

0.67 inch
263 inches
272.44 inches
277.25 inches

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

CCSS.HSS.MD.A.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.


About what percent of the products last between 12 and 15 days?

68%

34%

16%

2.5%

Tags

CCSS.HSS.ID.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which is NOT true about the standard normal distribution?

It is bell-shaped.
It is unimodal.
The mean is 0 and the standard deviation is 1.
It is asymmetrical.

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Pat and Chris both took a spatial abilities test (mean = 80, std. dev. = 8).  Pat scores a 76 and Chris scored a 94.  What percent of individuals would score between Pat and Chris? 

26.8%
96%
65.1%
4%

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

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