Normal Curve Skills Quiz

Which of the following is NOT a key feature of the normal curve?

• The curve is symmetric around its mean.

• The mean, median, and mode of the distribution are all equal.

• The curve touches the x-axis at the mean.

• The area under the curve sums to 1.

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CCSS.HSS.ID.A.4

Calculate the z-score for a value of 85 in a distribution with a mean of 100 and a standard deviation of 15.

• 1

• -1

• 0

• -2

According to the empirical rule, approximately what percentage of data falls within one standard deviation of the mean in a normal distribution?

• 68%

• 95%

• 99.7%

• 50%

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CCSS.HSS.ID.A.4

If the mean of a normal distribution is 50 and the standard deviation is 5, what range of values approximately contains 95% of the data?

• 40 to 60

• 45 to 55

• 35 to 65

• 30 to 70

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CCSS.HSS.ID.A.4

A set of data is normally distributed with a mean of 120 and a standard deviation of 20. What is the probability of randomly selecting a score greater than 140 from this distribution?

• About 16%

• About 2.5%

• About 34%

• About 84%

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CCSS.HSS.ID.A.4