Empirical Rule

Empirical Rule

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSS.ID.A.4

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Empirical Rule?

Back

The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

Tags

CCSS.HSS.ID.A.4

2.

FLASHCARD QUESTION

Front

What percentage of data falls within 1 standard deviation of the mean in a normal distribution?

Back

Approximately 68%.

Tags

CCSS.HSS.ID.A.4

3.

FLASHCARD QUESTION

Front

What percentage of data falls within 2 standard deviations of the mean in a normal distribution?

Back

Approximately 95%.

Tags

CCSS.HSS.ID.A.4

4.

FLASHCARD QUESTION

Front

What percentage of data falls within 3 standard deviations of the mean in a normal distribution?

Back

Approximately 99.7%.

Tags

CCSS.HSS.ID.A.4

5.

FLASHCARD QUESTION

Front

If the mean weight of concrete is 1150 pounds and the standard deviation is 22 pounds, what is the weight range for approximately 95% of molds?

Back

The weight range is approximately 1106 to 1194 pounds.

Tags

CCSS.HSS.ID.A.4

6.

FLASHCARD QUESTION

Front

What is the weight range for approximately 68% of molds if the mean is 1150 pounds and the standard deviation is 22 pounds?

Back

The weight range is approximately 1128 to 1172 pounds.

Tags

CCSS.HSS.ID.A.4

7.

FLASHCARD QUESTION

Front

What is the area under the normal distribution curve between 1 and 2 standard deviations from the mean?

Back

Approximately 13.5%.

Tags

CCSS.HSS.ID.A.4

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