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Mat 143 Statistics Empirical Rule

Authored by Anthony Clark

Mathematics

12th Grade

Mat 143 Statistics Empirical Rule
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14 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

26-32

3-29

26-29

39-32

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between  2.9 and 3.8? 

81.5%

47.5%

68%

95%

3.

MULTIPLE CHOICE QUESTION

1 min • 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?

5

16

24

32

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.

What ACT score is 3 standard deviations below the mean?

12

16

20

21

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In a normal distribution, what percent of the values lie above the mean?

13.5%

34%

50%

68%

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

500 juniors at Central High School took the ACT last year. The scores were distributed normally with μ=24 and σ=4.

What percent of ACT scores are between 16 and 24?

34%

47.5%

49.85%

50%

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

True

False

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