Answers AZ-Common Core Algebra II BIntroduction to Normal Distributions

Introduction to Normal Distributions Answers

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Using the graph as a reference, select all statements that are true about a normal distribution of data.

Normal distributions are symmetrical about the mean, m.

The total area under the curve is 100.

Ninety-five percent of the data lies within 1 standard deviation of the mean.

The probability that an event is within 1 standard deviation above the mean is 34%.

All data sets are normally distributed.

P(x ≤ 65 pounds) = %

Answer:

at least 75 pounds

at least 80 pounds

at most 65 pounds

at most 60 pounds

P(x ≤ 78 pounds) =

78%

cannot be determined from graph

Use the graph to complete the following. The probability that a boxer weighs between 60 and 80 pounds is %

Answer:

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