Exploring the Empirical Rule in Normal Distribution

What is the mean weight of one-year-old girls in the US as given in the problem?

• 9.5 kilograms

• 1.1 grams

• 1.1 kilograms

• 9.5 grams

Tags

CCSS.6.SP.B.5B

What is the standard deviation of the weights of one-year-old girls in the US?

• 9.5 grams

• 1.1 grams

• 1.1 kilograms

• 9.5 kilograms

What does the empirical rule (68-95-99.7 rule) state about the distribution of data?

• 95% of data falls within one standard deviation of the mean

• 68% of data falls within one standard deviation of the mean

• 68% of data falls within two standard deviations of the mean

• 99.7% of data falls within one standard deviation of the mean

Tags

CCSS.HSS.ID.A.4

According to the empirical rule, what percentage of data falls within two standard deviations of the mean?

• 32%

• 68%

• 95%

• 99.7%

Tags

CCSS.HSS.ID.A.4

What is the total area under a normal distribution curve?

• 95%

• 99.7%

• 68%

• 100%

Tags

CCSS.HSS.ID.A.4

If the mean weight is 9.5 kilograms and the standard deviation is 1.1 kilograms, what is the weight at two standard deviations above the mean?

• 12.8 kilograms

• 8.4 kilograms

• 11.7 kilograms

• 10.6 kilograms

What is the weight at three standard deviations below the mean?

• 5.1 kilograms

• 6.2 kilograms

• 8.4 kilograms

• 7.3 kilograms

Tags

CCSS.HSS.ID.A.4

What is the probability of finding a one-year-old girl in the US that weighs less than 8.4 kilograms?

• 16%

• 68%

• 95%

• 32%

Tags

CCSS.HSS.ID.A.4

What is the probability of finding a one-year-old girl in the US that weighs between 7.3 and 11.7 kilograms?

• 32%

• 99.7%

• 95%

• 68%

Tags

CCSS.HSS.ID.A.4

What is the probability of finding a one-year-old girl in the US that weighs more than 12.8 kilograms?

• 0.3%

• 0.15%

• 16%

• 68%

Tags

CCSS.HSS.ID.A.4