Normal Distribution

Find the z-score for 75 given a mean of 60 and a standard deviation of 6.

• -2.5

• 2.5

• -1.15

• 1.15

What shape is a normal distribution curve?

• Half curve

• Rhombus curve

• Bell curve

• Square curve

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what values should border the middle 50% of the model?

• 44 and 52 inches

• 42 and 54 inches

• 40 and 50 inches

• 40 and 60 inches

Tags

CCSS.HSS.ID.A.4

Suppose the amount of soda in a can is normally distributed; the mean is 16 oz and standard deviation is 0.4 oz. How much soda is in the heaviest 3% of cans?

Tags

CCSS.HSS.ID.A.4

Find the z-score with 40% of the observations falling below it.

• z=-0.25

• z=-0.33

• z=0.25

• z=0.33

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CCSS.HSS.ID.A.4

The mean GPA of students in a course at UGA is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?

• 81.5%

• 47.5%

• 68%

• 95%

Tags

CCSS.HSS.ID.A.4

The ages of the population of people living in the Atlanta area are normally distributed with a mean of 43 and a standard deviation of 14.

The town has a population of 5,000. How many would you expect to be aged between 29 and 57?

This Standard Normal Distribution curve may help you solve this problem.

• 1750

• 3860

• 3400

• 4330

Tags

CCSS.HSS.ID.A.4

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what percent of snow fall amounts will be between 40 and 50?

• 53.93%

• 46.07%

• 37.19%

• 72.34%

Tags

CCSS.HSS.ID.A.4

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What is the rating which cuts off the bottom 20%?

• 157.92

• 242.08

• 189.34

• 190.60

Tags

CCSS.HSF-LE.A.1B

What does the mean tell you about a data set

• It tells you the number that occurs the most

• It is the difference between the highest and lowest number

• It tells you the average of the data set

• It tells you how mad someone is at another person

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CCSS.6.SP.B.5C