Normal Distribution Practice (use calculator to find answers)

Scores on the Wechsler Adult Intelligence Scale, a standard IQ test, are approximately normal for the 20 to 34 age group with μ = 110 and σ = 25.

What proportion of this age group have an IQ less than 100?

• .6554

• .3446

• .3464

• .3501

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

Scores on the Wechsler Adult Intelligence Scale, a standard IQ test, are approximately normal for the 20 to 34 age group with μ = 110 and σ = 25.

What proportion of this age group have an IQ between 90 and 115?

• .3674

• .3446

• .3647

• .3764

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

Scores on the Wechsler Adult Intelligence Scale, a standard IQ test, are approximately normal for the 20 to 34 age group with μ = 110 and σ = 25.

What proportion of this age group have an IQ greater than 125?

• .2752

• .2701

• .2743

• .7257

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

The adult men of the Dinaric Alps have the highest average height of all regions. The distribution of height is approximately normal with a mean height of 6 ft 1 in (73 inches) and standard deviation of 3 inches.

What percentage of men have a height greater than 74 inches?

• .4163

• .3496

• .4613

• .3694

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

The adult men of the Dinaric Alps have the highest average height of all regions. The distribution of height is approximately normal with a mean height of 6 ft 1 in (73 inches) and standard deviation of 3 inches.

What percentage of men have a height less than the average height of an American man, 69 inches?

• .0912

• .0921

• .9088

• .9126

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

The adult men of the Dinaric Alps have the highest average height of all regions. The distribution of height is approximately normal with a mean height of 6 ft 1 in (73 inches) and standard deviation of 3 inches.

What percentage of men have a height between 70 and 78 inches?

• .7963

• .7936

• .2064

• .7663

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

The adult men of the Dinaric Alps have the highest average height of all regions. The distribution of height is approximately normal with a mean height of 6 ft 1 in (73 inches) and standard deviation of 3 inches.

What percentage of men have a height between 70 and 78 inches?

• .7963

• .7936

• .2064

• .7663

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

The length of pregnancy for the Asian elephant has an approximately normal distribution with an average length of 609 days and standard deviation of 31 days.

What percent of the elephant pregnancies last less than 15 months (540 days)?

• .0130

• .9870

• .1301

• .0103

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

The length of pregnancy for the Asian elephant has an approximately normal distribution with an average length of 609 days and standard deviation of 31 days.

What percent of the elephant pregnancies last more than 21 months (630 days)?

• .2194

• .2419

• .7509

• .2491

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4

The length of pregnancy for the Asian elephant has an approximately normal distribution with an average length of 609 days and standard deviation of 31 days.

What percent of the elephant pregnancies last between 600 and 615 days?

• .1901

• .8090

• .1910

• .8099

Tags

CCSS.MATH.CONTENT.HSS.ID.A.4