Unit 1 Test Review

Unit 1 Test Review

Types of Data, Categorical Associations, and Measures of Center

Success Criteria

• I can identify types of data

•  I can display categorical data

• I can identify an association between two-categorical variables

• I can display quantitative variables 

• I can describe a distribution with measures of center

Identifying Types of Variables

Categorical Variables

• Name

• Order

• Distinguish

Quantitative Variables

• Discrete (Countable) Whole Number

• Continuous (Measurable) Parts, Fractions

• If a unit of measurement can be attached it is continuous.

Multiple Select

For the following decide which variables are categorical:

The FAA monitors airlines for safety and customer service. For each flight, the carrier must report the type of aircraft, flight number, number of passengers, and whether or not the flights departed and arrived on schedule.

• Type of aircraft

• Flight Number

• Number of Passenger

• Flight departed on schedule

Multiple Choice

Which variable is considered to be continuous?

• Number of students in a classroom

• Number of fish in a take

• Number of stars for an Amazon review

• Time left on a parking meter

Multiple Choice

Which graph should be used to show an association between the variables gender and hair color?

• Barchart

• Piechart

• Segmented Barchart

• Dotplot

• Stem-and-leaf Plot

Multiple Choice

In the 2010–2011 season, the Dallas Mavericks won the NBA championship. The two-way table below displays the relationship between the outcome of each game in the regular season and whether the Mavericks scored at least 100 points.

Which of the following is the best evidence that there is an association between the outcome of a game and whether or not the Mavericks scored at least 100 points?

• The Mavericks won 57 games and lost only 25 games

• The Mavericks scored at least 100 points in 47 games and

  fewer than 100 points in only 35 games.

• The Mavericks won 43 games when scoring at least 100 points and only 14 games when scoring fewer than 100 points.

• The Mavericks won a higher proportion of games when scoring at least 100 points (43/47) than when they scored fewer than 100 points (14/35).

Multiple Choice

A large lending institution issues both adjustable-rate and fixed-rate mortgage loans on residential property. The properties are classified into 3 categories as shown in the table above.

Is type of rate associated with type of home?

• Yes, because the bar heights are the same there is an association

• Yes, because all bars stop at 100% this shows that there is association

• No because the bar heights are the same, there is not an association.

• No, because the bar heights are different there is an association

• Yes, because the bar heights are different, there is an association.

Displaying Quantitative Data

Quantitative Displays

• Dotplot

• Stem-and-Leaf Plot

Multiple Select

Which variable(s) could be graphed with a dot plot? (check all that apply)

• The time it takes to finish a quiz

• Your favorite day of the week

• The number of time you wash your hands in a day

• The sum of two die when they are rolled

• The number code for a 3-digit combination lock.

Multiple Choice

This is the test scores for two different classes.Which class has the greater median?

• 2009

• 2010

• same medians

• Not enough information

Multiple Choice

A florist records the amount of money he spent on gasoline each week to deliver orders. The list shows the data for 16 weeks.

32, 38, 40, 44, 44, 46, 49, 53, 55, 58, 62, 65, 68, 70, 72, 81

He put the data in a stem-and-leaf plot. What number did he leave out of the stem-and-leaf plot?

• 32

• 44

• 65

• 81

Measures of Center

Typical Values of a data set

• Mean (Average) balancing point; non-resistant--heavily affected by extreme values

• Median (Middle) 50% of data on both sides;  resistant measure--position in data set, extreme values will not affect it much. 

Multiple Choice

The data set below has an outlier of 42.

2, 5, 12, 15, 19, 4, 6, 11, 16, 18, 12, 12, 42

What effect does removing the outlier have on the distribution of the data?

• The mean will decrease

• The median will decrease

• The mean will increase

• The median will increase

Multiple Choice

The prices at several different stores for a pair of shoes are shown below.

$78, $79, $81, $82, $83

Two days later, another store has the same shoes on sale for $65. How does the new price affect the data?

• Only the range was affected.

• The median increased, and the range increased.

• The mean increased, and the range increased.

• The mean decreased and the range increased.

Multiple Choice

Gabriella’s quiz grades are shown below.

88, 92, 92, 96, 98

Gabriella scored a 20 on her sixth quiz. What effect does this score have?

• The low score causes the median to increase.

• The low score causes the median to decrease.

• The low score causes the mean to increase.

• The low score causes the mean to decrease.