2-5 Finding area under a normal curve

2-5 Finding area under a normal curve

12th Grade

12 Qs

quiz-placeholder

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2-5 Finding area under a normal curve

2-5 Finding area under a normal curve

Assessment

Quiz

Mathematics

12th Grade

Hard

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

+4

Standards-aligned

Created by

Tanya Gent

Used 1+ times

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

434 Company pack coffee in bags marked as 250 g

A large number of packs of coffee were weighed and the mean and standard deviation were calculated as 255 g and 2.5 g respectively.

Assuming this data is normally distributed, what percentage of packs are underweight?

2.3%

3.5%

4%

5%

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Students pass a test if they score 50% or more.


The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively.


Assuming this data is normally distributed, what percentage of students pass the test? in percentage...

5

16

24

32

Tags

CCSS.HSS.ID.A.4

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

The ages of the population of people living in Meru area in Ipoh are Normally distributed with mean 43 and standard deviation 14


The town has a population of 5,000.

How many would you expect to be aged between 22 and 57?


You can use this Standard Normal Distribution curve:

1750

3860

3870

4330

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

4.

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

5.

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 4.6 seconds?

0.83
1.07
-2
-1.07

6.

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

0.1753

0.8238
-0.93

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

7.

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

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5

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