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Empirical Rule Practice

Authored by Young Pak

Mathematics

8th Grade

CCSS covered

Used 23+ times

Empirical Rule Practice
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What percentage of data falls within one standard deviation of the mean in a normal distribution according to the empirical rule?

95%

50%

30%

68%

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.IC.B.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a normal distribution, what percentage of data falls within two standard deviations of the mean based on the empirical rule?

95%

90%

99%

80%

Tags

CCSS.HSS.ID.A.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

According to the empirical rule, what percentage of data falls within three standard deviations of the mean in a normal distribution?

90%

85%

95%

99.7%

Tags

CCSS.HSS.ID.A.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the mean of a data set is 50 and the standard deviation is 5, what range of values would fall within one standard deviation of the mean?

35 to 65

40 to 60

48 to 52

45 to 55

Tags

CCSS.HSS.ID.A.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For a data set with a mean of 75 and a standard deviation of 10, what interval would encompass approximately 68% of the data based on the empirical rule?

55 to 75

65 to 85

70 to 90

80 to 100

Tags

CCSS.HSS.ID.A.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a normal distribution with a mean of 100 and a standard deviation of 15, what range of values would contain about 95% of the data according to the empirical rule?

50 to 170

60 to 140

85 to 115

70 to 130

Tags

CCSS.HSS.ID.A.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the mean of a data set is 120 and the standard deviation is 20, what values would fall within three standard deviations of the mean based on the empirical rule?

Values between 80 and 160

Values between 40 and 200

Values between 60 and 180

Values between 100 and 140

Tags

CCSS.HSS.ID.A.4

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