Displaying Numerical Data Sets

What does a box-and-whisker plot display?

• Averages of data sets

• Categories and frequencies

• The correlation between two variables

• The spread and outliers in a data set

What is the primary purpose of a frequency polygon?

• • To show the cumulative frequencies of a data set

• To highlight the relative frequencies of data categories

• To display the shape of a data distribution

• To compare parts of a whole

What type of data is represented by the following: “Number of students in each class”?

• Continuous

• Categorical

• Discrete

• Ordinal

A histogram has no spaces between columns and is a graphical way of displaying __________ data, whereas a bar chart has spaces between columns and is designed to display __________ data.

• categorical; numerical

• large set of; small sets of

• boring; interesting

• numerical; categorical

What is the 5-number summary of this data set?

• 44, 48, 75.5, 80, 44.5

• 44, 44.5, 48, 75.5, 80

• 44, 45, 48, 49, 80

• 80, 75.5, 48, 44.5, 44

During isolation, the Smith family conducted a study on the number of m&ms in a family-sized pack. They found that the data was approximately normally distributed with a mean of 150 and a standard deviation of 8.

What is the percentage of packs that contain more than 166 m&ms?

• 2.35%

• 2.5%

• 13.5%

• 16%

A dot plot is best used with

• a large amount of data that is very spread out

• categorical data where you stack the categories on top of each other

• data when you want to read the 5-number summary easily

• numerical data with a maximum of 50 data values

The most accurate description of what a z-score of 1.2 represents is that

• the data value is above the mean.

• the data value is below the mean.

• the data value is 1.2 standard deviations above the mean.

• the data value is positive.

What are characteristics that are defined by a number, such as age or weight?

• descriptive statistics

• inferential statistics

• categorical variables

• quantitative variables

How many more girls chose track as the favourite sport than boys?

• 3

• 999

• 9

• 1