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Empirical Rule

Authored by Robert Bailey

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

Empirical Rule
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12 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What shape is a normal distribution curve?

Half curve
Round curve
Bell curve
Square curve

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

68%
99.7%
95%
84%

Tags

CCSS.HSS.ID.A.4

3.

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%
34%
16%
2.5%

Tags

CCSS.HSS.ID.A.4

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Use the following information and the Empirical Rule to estimate the answer.


The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.


Find the proportion of golfers that are between 30 and 46 years old.

68%

94%

95%

99.7%

Tags

CCSS.HSS.ID.A.4

5.

MULTIPLE CHOICE QUESTION

5 mins • 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%
34%
16%
2.5%

Tags

CCSS.HSS.ID.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 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%

Tags

CCSS.HSS.ID.A.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 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%

Tags

CCSS.HSS.ID.A.4

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