03 Chebyshev's Theorem

03 Chebyshev's Theorem

Assessment

Assessment

Created by

Matthew Kilgore

Mathematics

11th Grade - University

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35 questions

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1.

Multiple Choice

15 mins

1 pt

What is Chebyshev's Inequality?

P≥1-1/(k2)

P≥1+1/(k2)

P≤1-1/(k2)

P≤1+1/(k2)

2.

Multiple Choice

15 mins

1 pt

What percent of the data in any data set lies within 7.5 standard deviations of the mean?

98.2%

86.7%

2.2%

13.3%

3.

Multiple Choice

15 mins

1 pt

In any data set with 230 data points, what is the minimum number that must lie within 7 standard deviations of the mean?

226

40

204

153

4.

Multiple Choice

15 mins

1 pt

In a data set with a mean of 24 and a standard deviation of 3, at least 75% of data points must lie between ________ and ________ [S.A.M.]

18 and 30

23.25 and 24.75

21 and 27

21.25 and 29.75

5.

Multiple Choice

15 mins

1 pt

True or False: The percentages obtained by Chebyshev's Theorem are conservative lower estimates. The percent of data between any two boundaries is usually much more than the number given by the Theorem.

True

False

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