How to identify characteristics of a normal distribution

Practice Questions

AP Statistics › How to identify characteristics of a normal distribution

Questions
10
1

Which parameters define the normal distribution?

2

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:

3

If a population has a normal distribution, the number of values within one positive standard deviation of the mean will be . . .

4

All normal distributions can be described by two parameters: the mean and the variance. Which parameter determines the location of the distribution on the real number line?

5

Which is the following is NOT a property of the normal distribution?

6

Which of the following populations has a precisely normal distribution?

7

What is the relationship between the mean and the median in a normally distributed population?

8

Consider a normal distribution with a mean of and a standard deviation of . Which of the following statements are true according to the Empirical Rule?

  1. of observations are at least .
  2. of observations are between and .
  3. of observations are between and .
9

Which is the following is true about the standard normal distribution?

10

Cheyenne is worried about food thieves in the break room at work, and she believes that, as the week progresses, and people get lazy and ready for the weekend, more food theft occurs. She gathered the following data on number of thefts per day, and fell very behind in her work for a week.

Foodtheif

Which of the following statements about the data are true?

i: the data is normally distributed

ii: the data is skewed left

iii: the data supports Cheyenne's theory

iv: the data is a representative sample

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