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- 1. Multiple Choice
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
1150 pounds
1128 pounds
1172 pounds
- 2. Multiple Choice
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
- 3. Multiple Choice
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
98th
84
2.5
- 4. Multiple Choice
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
z=-2.25, 11th percentile
z=-1.25, 8th percentile
- 5. Multiple Choice
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, 65th percentile
z=0.5, 69th percentile
z=0.5, 67th percentile
z=1.5, 69th percentile
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