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Hannah and Claire each have a chicken coop with 6 hens. Let H represent the total number of eggs the hens lay on a randomly chosen day in Hannah’s coop and let C represent the total number of eggs the hens lay on a randomly chosen day in Claire’s coop. The two distributions are displayed in the table and histograms.
A
The standard deviation for Hannah’s eggs is 1.4, and the standard deviation for Claire’s eggs is 1.6.B
The standard deviation of the number of eggs laid by Claire’s hens is greater than the standard deviation of the number of eggs laid by Hannah’s hens.C
The standard deviation of the number of eggs laid by Claire’s hens is less than the standard deviation of the number of eggs laid by Hannah’s hens.D
The standard deviation of the number of eggs laid by Hannah’s hens is about the same as the standard deviation of the number of eggs laid by Hannah’s hens
3
A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table.Which is the correct interpretation of the standard deviation?
A
If many, many free throws are attempted, the expected number made would be 4.8 free throws.B
The number of free throws made out of 8 typically varies from the expected value by 1.4 free throws.C
The mean number of free throws made typically varies from the expected number of free throws made by 1.4 free throws.D
The number of free throws made out of 8 typically varies from the expected number of free throws made by 1.96 free throws.
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