Question

The distribution of cell phone bills for families in Smithtown North High School has mean $183 and standard deviation 11. At Smithtown South High School, the mean is$181 and the standard deviation is 21. Which distribution is more spread out?

Answer 1

Considering that it has a higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

What is the coefficient of variation of a distribution?

The coefficient of variation for a distribution is given by the standard deviation of the distribution divided by the mean of the distribution. The higher the coefficient, the more spread out the distribution is.

For the distributions in this problem, the coefficients are given as follows:

• Smithtown North High School: 11/183 = 0.0602.

• Smithtown South High School: 21/181 = 0.1160.

Due to the higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

More can be learned about the coefficient of variation of a distribution at brainly.com/question/24495359

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