Empirical Rule

Which interval shows 68% of the data given a mean of 15 and a standard deviation of 3?

• 9 to 21

• 6 to 24

• 12 to 18

• 13 to 16

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CCSS.HSS.ID.A.4

Which interval shows 99.7% of the data given a mean of 15 and a standard deviation of 3?

• 9 to 21

• 12 to 18

• 13 to 16

• 6 to 24

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CCSS.HSS.ID.A.4

According to the empirical rule, what percentage of data falls within 1 standard deviation?

• 25%

• 95%

• 68%

• 99.7%

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CCSS.HSS.ID.A.4

According to the empirical rule, how much of the data falls within 3 standard deviations?

• 25%

• 95%

• 68%

• 99.7%

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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 95% of molds filled by this machine will hold weights in what interval?

• 1106 to 1194 pounds

• 1084 to 1216 pounds

• 1106 to 1150 pounds

• 1128 to 1172 pounds

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CCSS.HSS.ID.A.4

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

• 26,000 km and 34,000 km.

• 24,000 km and 34,000 km.

• 28,000 km and 32,000 km.

• 27,000 km and 31,000 km.

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CCSS.HSS.ID.A.4

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

• 68%

• 16%

• 34%

• 2.5%

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CCSS.HSS.ID.A.4

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

• 26-32

• 26-29

• 3-29

• 39-32

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What is the Normal Range (68%) of the monthly salary of teachers if the average is $4,000.00 with a standard deviation of 3,000?

• 1000-7000

• 1000-4000

• 3000-4000

• 4000-7000

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CCSS.HSS.ID.A.4

The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. Between what heights do the middle 95% of men fall?

• 66.5-71.5

• 61.5-76.5

• 64-74

• 65-73

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