Normal Distributions

Normal Distributions

Assessment

Quiz

Mathematics

10th - 12th Grade

Practice Problem

Medium

CCSS
HSS.ID.A.4, HSF-LE.A.1B, HSS.ID.A.2

+3

Standards-aligned

Used 8+ times

FREE Resource

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15 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

A grading scale is set up for 1000 students’ test scores. It is assumed that the scores are normally distributed with a mean score of 75 and a standard deviation of 15. Calculate the score that lies -2 standard deviation from the mean.

60

475

45

9500

Tags

CCSS.HSS.ID.A.4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What percent of a normal distribution lies outside of ±3 standard deviations?

99.7%

.15%

.3%

100%

Tags

CCSS.HSS.ID.A.4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In an Oreo factory, the mean mass of a cookie is given as 40 g. For quality control, the standard deviation is 2 g. If 10 000 cookies were produced, how many cookies are within 2 g of the mean?

6800

9500

3200

9750

Tags

CCSS.HSS.ID.A.4

4.

MULTIPLE CHOICE QUESTION

1 min • 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%

99.7%

95%

34%

Tags

CCSS.HSS.ID.A.4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The speeds of cars on the highway have a mean of 95 km/h with a standard deviation of 5 km/h. What percentage of cars averaged less than 85 km/h?

.15%

2.35%

2.5%

18.5%

Tags

CCSS.HSS.ID.A.4

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean life of a tire is 30 000 km. The standard deviation is 2000 km. 68% of all tires will have a life between ______km and ______km.

26000 and 34000

28000 and 32000

24000 and 34000

22000 and 36000

Tags

CCSS.HSS.ID.A.4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The Floppy Disk Company makes 3.5 inch floppy disks (mean) for disk drives that are 3.7 inches wide. The size of a manufactures disk is normally distributed with a standard deviation of 0.1 inches. The company manufactures 1000 disks every hour. In one hour, how many disks would you expect to be between 3.4 inches and 3.7 inches?

34

135

68

815

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

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