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Empirical Rule & Z-Score

Authored by Barbara White

Mathematics

9th - 12th Grade

Used 1+ times

Empirical Rule & Z-Score
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22 questions

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1.

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%

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a normal distribution, what percent of the values lie within one standard deviation of the mean?

(from z = -1 to z = 1)

13.5%

34%

95%

68%

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.

What percent of scores are between 65 and 75?

34%

50%

68%

81.5%

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.

What percent of scores are less than 70?

34%

50%

16%

84%

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.

What percent of scores are greater than 75?

2.35%

2.5%

16%

13.5%

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

2000 freshmen at State Univ. took a Biology test. The scores were distributed normally with μ=70 and σ=5.

Approximately how many students scored between 60 and 80?

95

100

1900

1950

7.

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

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