Homework Cheby Theorem

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

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CCSS.HSS.ID.A.4

The set of the weights of professional football players was found to have a mean of 275 lbs. with a standard deviation of 5 lbs. If there are a total of 1,650 pro football players in the US, what is the minimum number that weigh between 250 and 300 lbs.?

• 96%

• 75%

• 93.75%

• 88.89%

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CCSS.HSS.ID.A.4

The mean age of a dinosaur fossil in a particular fossil bed is 85 million years. The standard deviation of the fossil ages from this bed is 2.5 million years. At least __________ of fossils in this bed are between 80 and 90 million years old.

• 75 %

• 88.89 %

• 2%

• 70%

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CCSS.HSS.ID.A.4

Scientists measured the area claimed by each Bengal tiger in a certain jungle. The mean area claimed was 30 square miles with s=2.8 mi². At least 97.22 % of the areas in this sample would have to be between _________ and ________ mi² [S.A.M.]

• 2 and 58

• 13.2 and 46.8

• 20 and 40

• 17.2 and 42.8

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CCSS.HSS.ID.A.4

A data set has a mean of 50 and a standard deviation of 3.6. At least 88.89% of the data must lie between... [S.A.M.]

• 39.2 and 60.8

• 39 and 60

• 46.42 and 53.58

• 46.4 and 53.6

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CCSS.HSS.ID.A.4

In a data set with a mean of 25 and a standard deviation of 4.8, what is the minimum percent of the data that must lie between 20 and 30?

• 7.5%
• 4%
• 96%
• 87.5%

A data set has a size of 200, a mean of 90 and a standard deviation of 5. What is the minimum number of data points that must lie between 80 and 100?

• 96%

• 75%

• 88.9%

• 97.22%

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CCSS.HSS.ID.A.4

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 93.75% of molds filled by this machine will hold weights in what interval?

• 1106 to 1194 pounds

• 1084 to 1216 pounds

• 1062 to 1238 pounds

• 1128 to 1172 pounds

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CCSS.HSS.ID.A.4

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. If the K = 1 What is the range of values?

• 2.3 to 3.5

• 1.7 to 4.1

• 0%

• none of the above

400 books were selected at random from a library. If the mean length of books in this sample was 300 pages with σ=20, what is the minimum number of books that must be between 200 and 400 pages?

(CHEBYSHEV's)

• 75%

• 88.89%

• 93.75%

• 96%

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CCSS.HSS.ID.A.4