Prob and Stats

What do we call the characteristics of individuals that take on different values in the study of statistics?

• variables

• tables

• models

• discrepancies

The statistical process that allows us to create data for real-world questions where a mathematical answer is difficult to calculate, too costly, or too time consuming is called what?

• frequency

• relative frequency

• distribution

• simulation

100 teachers were asked which fruit they preferred to eat with their lunch. The table below shows the results. What is the frequency of a male teacher who prefers to eat an apple with lunch?

• 15

• 12

• 21

• 54

Of the teachers who prefer a pear with their lunch, how many of them are female?

• 38

• 46

• 15

• 9

The table below shows the results of a student survey of a 9th grade class. What is the joint relative frequency for the number of boys whose favorite candy is Skittles? State your answer as a percent rounded to the nearest whole percent as needed.

The table below shows the results of a student survey of a 9th grade class. What is the marginal relative frequency for the number of girls in the class? State your answer as a percent rounded to the nearest whole percent as needed.

The table below shows the results of a student survey of a 9th grade class. Of the girls in the class, what is the conditional marginal frequency whose favorite candy is Gummy Worms? State your answer as a percent rounded to the nearest whole percent as needed.

Match the following:

• relative frequency

• How often each item occurs in a set of categorical data.

• marginal relative frequency

• The portion of the table total that has one specified characteristic.

• conditional relative frequency

• The frequency of a category is divided by the total of all frequencies.

• joint relative frequency

• The portion of a group with a given characteristic that also has another characteristic.

• frequency

• The portion of the table total that has both of the two specified characteristics.

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

The amount that households pay service providers for access to the Internet varies, with a mean monthly fee of $48 and standard deviation of $20. The distribution is not normal. A sample survey asks a SRS of 500 households with Internet access how much they pay per month. Let X-bar be the mean amount paid by the members of the sample. What is the shape of the sampling distribution of x-bar?

• Approximately Normal, since Large Counts is met.

• Approximately Normal, since Central Limit Theorem is met.

• Not Approximately Normal, since Large Counts is NOT met.

• Not approximately Normal, since Central Limit Theorem is NOT met.