Analyzing Categorical Data

Is the information collected during the survey numerical or categorical data?

• Numerical data. I know this because the y-axis is labeled with numbers.

• Numerical data. I know this because the surveyor counted how many people that they surveyed.

• Categorical data. I know this because the responses to the survey are names.

• Categorical data. I know this because each column is a different color.

• Player A has a larger spread in the points he scored than Player B.

• Player A has a larger center than Player B.

• Player A scored points in all 25 games but Player B did not.

• Player A and Player B each scored 36 points in at least one of the 25 games.

The boys’ heights have a median height about 10 inches larger than the girls’ heights.

• The boys’ heights have a median height about 10 inches larger than the girls’ heights.

• The boys’ heights have a larger range than the girls’ heights.

• The whiskers on the box plot of the girls’ heights are more varied in length than the whiskers on

  the box plot of the boys’ heights.

• At least one boy and one girl are 72 inches tall.

The circle graph shows Allen's activities during 24 hours. How much more time did Allen spend listening to music than playing tennis?

• 2.88 hours

• 0.48 hour

• 2.40 hours

• 0.12 hour

Ted concluded from the graph that he spends about 48 hours at school and doing homework during a five-day school week. Which statement about Ted's conclusion is true?

• Ted's conclusion is invalid because 1/4 of 120 is 30

• Ted's conclusi0on is invalid because 40% of 24 is 9.6

• Ted's conclusion is valid because 40% of 120 is 48.

• Ted's conclusion is valid because 1/4 of 192 is 48.

Categorical or Quantitative?

College Major

• Categorical

• Quantitative

Which of the following is an example of categorical data?

• High School Graduate or Not

• Annual Income

• Years of Schooling Completed

• Years of playing an instrument

Why is this a bar graph and not a histogram?

• It's based on quantitative data

• It's based on categorical data

Which city has a higher median?

• Millersburg

• Arcadia

How many employees are there that make between $33,000 and $43,000

• 250

• 500

• 550

• 750