Percentiles

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. What weight falls at the 50th percentile?

• 1106 pounds

• 1128 pounds

• 1150 pounds

• 1172 pounds

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CCSS.HSS.ID.A.4

Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. What score would you need to fall at the 84th percentile?

• 84

• 400

• 500

• 600

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CCSS.HSS.ID.A.4

A 12 oz. can of soda has a mean volume of 12 oz, with a standard deviation of 0.25 oz. What is the percentile for a soda that only has 11.5 oz.?

• 3rd percentile

• 16th percentile

• 50th percentile

• 84th percentile

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CCSS.HSS.ID.A.4

At a local high school, GPAs are normally distributed with a mean of 2.9 and a standard deviation of 0.6. If you have a GPA of 4.1, what is your percentile?

• 50th percentile

• 84th percentile

• 98th percentile

• 2.5 percentile

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CCSS.HSS.ID.A.4

At a high school, GPAs are normally distributed with a mean of 2.9 and a standard deviation of 0.6. Find the z-score of a GPA of 3.2? What percentile is this?

• z=0.5, 67th percentile

• z=0.5, 69th percentile

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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. What is the z-score of a tire that lasts 27, 500 miles. What percentile is this?

• z=-1.25, 9th percentile

• z=-1.25, 11th percentile

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CCSS.HSS.ID.A.4

The shelf life of a particular dairy product is normally distributed with a mean is 12 days and a standard deviation of 3 days. Find the z-score of a dairy product that has a shelf life of 14 days. What percentile is this?

• z=0.33, 50th percentile

• z=0.66, 75th percentile

• z=0.66., 84th percentile

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CCSS.HSS.ID.A.4

Pat and Chris both took a spatial abilities test (mean=80, standard deviation=8). Pat scored a 76 and Chris scored a 94. Find z-scores for Pat and Chris. What are their percentiles?

• Pat's z-score=0.5 with a 31st percentile. Chris's z-score=1.75 with a 96th percentile.

• I didn't do this problem, so I am going to guess B.

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CCSS.HSS.ID.A.4