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Empirical Rule and Chevyshev

Empirical Rule and Chevyshev

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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16 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.

2.

FLASHCARD QUESTION

Front

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

Back

Approximately 68%.

3.

FLASHCARD QUESTION

Front

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

Back

Approximately 95%.

4.

FLASHCARD QUESTION

Front

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

Back

Approximately 99.7%.

5.

FLASHCARD QUESTION

Front

What is Chebyshev's Theorem?

Back

Chebyshev's Theorem states that for any distribution, at least (1 - 1/k²) of the data falls within k standard deviations of the mean, for k > 1.

6.

FLASHCARD QUESTION

Front

If k = 2 in Chebyshev's Theorem, what percentage of data falls within two standard deviations of the mean?

Back

At least 75%.

7.

FLASHCARD QUESTION

Front

If k = 3 in Chebyshev's Theorem, what percentage of data falls within three standard deviations of the mean?

Back

At least 88.89%.

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