AnswersAZ-Common Core Algebra II BIntroduction to Normal Distributions

Introduction to Normal Distributions Answers

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1
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Check all of the situations that you would expect to be approximately normally distributed.

A
the SAT scores of high school seniors
B
the salaries for members of a professional football team
C
the shoe sizes of 17-year-old males
D
the age at which a child loses his or her first tooth
E
the probability of rolling a given number between 1 and 6 on a number cube
2
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Distribution CMean =

A
50
B
100
C
200
3

Order the standard deviations of the distributions from least to greatest.

A
A, B, C
B
A, C, B
C
B, A, C
D
B, C, A
4

What is the height of a student whose z-score is 3?

A
55”
B
53”
C
47”
D
43”
5

Identify the mean of each distribution.Distribution AMean =

A
50
B
100
C
200
6

Distribution BMean =

A
50
B
100
C
200
7

Check all of the temperatures that are within one standard deviation of the mean.

Question illustration
A
72°
B
74°
C
79°
D
84°
8

Distance of Jose’s height from mean: in.

A
–7
B
–2
C
2
D
7
9

How many standard deviations is Jose’s height from the mean height for 7-year-olds?

Answer:

1

10

Jordan is 53 inches tall. What is his z-score?

Answer:

2

11

About 68% of sixth-grade students will have heights between inches and inches.

Answer:

55.7

12

What percentage of goldfish will have lengths between 4.6 inches and 9.4 inches?

A
34%
B
68%
C
95%
D
99.7%
13

How many years had temperatures that were exactly one standard deviation from the mean?

Answer:

6

14

Distance of Jamal’s height from mean: in.

A
–6.7
B
–2.3
C
2.3
D
6.7
15

How many standard deviations is Jamal’s height from the mean height for 12-year-olds?

Answer:

-1

16

Jake is 44 inches tall. What is his z-score?

Answer:

-2.5

17

About 95% of sixth-grade students will have heights between inches and inches.

Answer:

53.4

18

Jacob is 49 inches tall. What is his z-score?

Answer:

0

19

About 99.7% of sixth-grade students will have heights between inches and inches.

Answer:

51.1

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