Heights of women have a bell-shaped distribution with a mean of 159 cm and a sta

Question

Heights of women have a bell-shaped distribution with a mean of 159 cm and a standard deviation of 6 cm. Using Chebyshev's theorem, what do we know about the percentage of women with heights that are within 2 standard deviations of the mean? What are the minimum and maximum heights that are within 2 standard deviations of the mean?

At least ____ % of women have heights within 2 standard deviations of 159 cm.(Round to the nearest percent as needed.)

The minimum height that is within 2 standard deviations of the mean is____cm

The maximum height that is within 2 standard deviations of the mean is_____ cm

Explanation / Answer

At least 66 % of women have heights within 2 standard deviations of 159 cm

The minimum height that is within 2 standard deviations of the mean is 159 - 2x6 = 147 cm

The maximum height that is within 2 standard deviations of the mean is 159 + 2x6 = 171 cm

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