Harry Potter and the Normal Curve

In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

What proportion of wizard and witches have wands shorter than Harry Potter's wand which is 11 inches?

• 0.4256

• 0.0744

• 0.5744

• 0.2450

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In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

What proportion have wands between 9 and 12 inches?

• 0.6477

• 0.1136

• 0.1604

• 0.3143

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In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

25% of wands are longer than ________ inches.

• 11

• 0.6745

• 9.62

• 11.78

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In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

25% of wands are shorter than ________ inches.

• 11

• 0.6745

• 9.62

• 11.78

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In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

The shortest known wand (belonging to Mary Cattermole) is 8.75 inches. If one wand is randomly selected, find the probability that it is longer than her wand.

• 0.1186

• 0.8885

• 0.3885

• 0.1115

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In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

If a wand is randomly selected, what is the probability that it is longer than 12 inches?

• 0.2083

• 0.7917

• 0.2917

• 0.1792

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In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

All wands that are shorter than ___________ inches would be considered unusual.

• 8.07

• 13.33

• 8.65

• 9.04

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In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

All wands that are longer than ___________ inches would be considered unusual.

• 8.07

• 13.33

• 12.75

• 12.36

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In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

What percent of wizard and witches have wands longer than Harry Potter's wand which is 11 inches?

• 57.44%

• 24.50%

• 7.44%

• 42.56%

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In the world of Harry Potter, wand lengths are normally distributed with a mean of 10.7 inches and a standard deviation of 1.6 inches.

What wand lengths bound the middle 80% of wands. Check all that apply.

• 9.35 inches

• 8.65 inches

• 12.75 inches

• 12.05 inches

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