Empirical Rule - Shaded

Empirical Rule - Shaded

Assessment

Flashcard

Mathematics

10th Grade - University

Practice Problem

Hard

CCSS
HSS.ID.A.4, 7.SP.C.7A

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, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Tags

CCSS.HSS.ID.A.4

2.

FLASHCARD QUESTION

Front

What percentage of data is within one 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 is within two 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 is within three standard deviations of the mean in a normal distribution?

Back

Approximately 99.7%.

Tags

CCSS.HSS.ID.A.4

5.

FLASHCARD QUESTION

Front

If 99.7% of the data is within three standard deviations, what percentage is outside this range?

Back

Approximately 0.3%.

Tags

CCSS.HSS.ID.A.4

6.

FLASHCARD QUESTION

Front

In a normal distribution, what does the shaded region represent?

Back

The shaded region represents the portion of data that falls within a specified number of standard deviations from the mean.

Tags

CCSS.HSS.ID.A.4

7.

FLASHCARD QUESTION

Front

If 16% of the data is in the shaded region, how many standard deviations from the mean does this represent?

Back

This represents approximately 1 standard deviation below the mean.

Tags

CCSS.HSS.ID.A.4

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