PERCENTILES 2025

If I tell you that you scored at the 55th percentile on your final exam, you would know:

• 55% of the class scored the same or worse than you did

• You earned a 55% on the exam

• You failed the exam

• 45% of the class scored worse than you did

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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.?

Mathematical Equivalence

ON

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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?

Mathematical Equivalence

ON

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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. Your GPA is 3.2? What percentile is this?

Mathematical Equivalence

ON

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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. What percentile would a dairy product be in that has a shelf life of 14 days?

Mathematical Equivalence

ON

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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. What percentage of students at the high school have a GPA between 2.3 and 3.5?

• 68%
• 99.7%
• 95%
• 84%

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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%
• 34%
• 16%
• 2.5%

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CCSS.HSS.ID.A.4

What is the formula for calculating a z-score?

• $z=\frac{\mu-x}{\sigma}$

• $x=z\sigma+\mu$

• $\overline{x}=\frac{\Sigma x}{n}$

• $z=\frac{x-\mu}{\sigma}$

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CCSS.HSS.ID.A.4

Scored on a certain standardized test have a mean of 500, and a standard deviation of 100. What is the percentile for a score of 410?

Mathematical Equivalence

ON

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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. What is the z-score for 1200 pounds? ROUND TO NEAREST HUNDREDTH.

Mathematical Equivalence

ON

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