# 3.4/3.5 Normal Distribution

10 Questions | Total Attempts: 481  Settings  • 1.
In a normal distribution, approximately what percent of data is within two standard deviations of the mean?
• A.

68

• B.

75

• C.

95

• D.

99.7

• 2.
The graph of a normal distribution forms what shape?
• A.

U-shaped

• B.

Mound shaped

• C.

Uniform

• D.

Skewed

• 3.
If X~N(10, 22), then the standard deviation equals
• A.

10

• B.

2

• C.

4

• D.

12

• 4.
Annual rainfall in Coastville is normally distributed with a mean of 60 cm and a standard deviation of 7 cm. For what percent of the years will the annual rainfall be between 53 cm and 60 cm?
• A.

5%

• B.

16%

• C.

34%

• D.

68%

• 5.
The z-score corresponding to the 44th percentile is
• A.

-2.62

• B.

-0.15

• C.

0.44

• D.

4.40

• 6.
If X~N(35, 32), what percent of the data are greater than 37? Round to the nearest percent.
• 7.
If X~N(35, 32), what percent of the data are between 30 and 37? Round to the nearest percent.
• 8.
If X~N(35, 32), what percent of the data are less than 29? Round to the nearest percent.
• 9.
To earn a scholarship, Luc needs to score in the 87th percentile on an entrance test. If test marks are normally distributed with a mean of 400 and a standard deviation of 28, what mark (to the nearest whole number) is he aiming for?
• 10.
For X~N (6, 22) the z-score of x = 4.5 is
Related Topics Back to top