Normal Distribution

Practice Questions

AP Statistics › Normal Distribution

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1

Which parameters define the normal distribution?

2

Which parameters define the normal distribution?

3

Find

.

4

Find

.

5

In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean.

It must also adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

In order to be a normal distribution, what percentage of the data set must fall within:

6

Find the area under the standard normal curve between Z=1.5 and Z=2.4.

7

Alex took a test in physics and scored a 35. The class average was 27 and the standard deviation was 5.

Noah took a chemistry test and scored an 82. The class average was 70 and the standard deviation was 8.

Show that Alex had the better performance by calculating -

  1. Alex's standard normal percentile and

  2. Noah's standard normal percentile

8

Alex took a test in physics and scored a 35. The class average was 27 and the standard deviation was 5.

Noah took a chemistry test and scored an 82. The class average was 70 and the standard deviation was 8.

Show that Alex had the better performance by calculating -

  1. Alex's standard normal percentile and

  2. Noah's standard normal percentile

9

In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean.

It must also adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

In order to be a normal distribution, what percentage of the data set must fall within:

10

Find the area under the standard normal curve between Z=1.5 and Z=2.4.

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