Introduction to Normal Distributions Answers

Use the information on the right to determine which students will have positive z-scores.

✔ 4000 g4500 g5000 g5500 g6000 g

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4000 g✔ 4500 g5000 g5500 g6000 g

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4000 g4500 g✔ 5000 g5500 g6000 g

Cynthia’s z-score is .

A newborn who weighs 2,500 g or less has a low birth weight. Use the information on the right to find the z-score of a 2,500 g baby. ⇒ -2

What is the z-score of a newborn who weighs 4,000 g? ⇒ 1

⇒ 3125 grams

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According to the empirical rule, 68% of 7-year-old children are between inches and inches tall. 95% of 7-year-old children are between inches and inches tall.

According to the empirical rule, 68% of 7-year-old children are between inches and inches tall. 95% of 7-year-old children are between inches and inches tall.

According to the empirical rule, 68% of 7-year-old children are between inches and inches tall. 95% of 7-year-old children are between inches and inches tall.

Brenda is 50 inches tall. Her z-score is ⇒ 0.5.

Approximately ⇒ 16% of 7-year-old children are taller than 51 inches.

Zach has a z-score of –1.5. His height is inches.

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