Algebra 1 | Unit 3 | Lesson 3: Associations in Categorical Data | Practice Problems

Which value would best fit in the missing cell to suggest there is no evidence of an association between the variables? The table is as follows:

	digital watch	analog watch
displays the date	54	27
no date display	18

• 9

• 18

• 27

• 54

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

The relative frequency table shows the percentage of each type of art (painting or sculpture) in a museum that would classify in the different styles (modern or classical). Based on these percentages, is there evidence to suggest an association between the variables? Explain your reasoning. The table is as follows:

	modern	classical
paintings	41%	59%
sculptures	38%	62%

Tags

CCSS.8.SP.A.4

An automobile dealership keeps track of the number of cars and trucks they have for sale, as well as whether they are new or used. Based on the data, does there appear to be an association between the type of automobile and whether it is new or used? Explain your reasoning. The data is represented in the table:

	car	truck
new	812	233
used	422	51

Tags

CCSS.8.SP.A.4

A survey is given to 1,432 people about whether they take daily supplemental vitamins and whether they eat breakfast on a regular basis. The results are shown in the table:

	take daily vitamins	no daily vitamins
eat breakfast	384	476
no breakfast	268	304

Create a relative frequency table that shows the percentage of the entire group that is in each cell.

Tags

CCSS.8.SP.A.4

Several college students are surveyed about their college location and preferred locations for a spring break trip. The table is as follows:

	college near the coast	college away from the coast
beach break	37	54
ski break	24	36

What percentage of people who prefer to spend spring break at the beach go to a college away from the coast? What percentage of people who prefer to spend spring break skiing go to a college away from the coast?

Tags

CCSS.8.SP.A.4

A group of people are surveyed about whether they prefer to bike or run to exercise, and whether they prefer summer or winter weather. The results are in the table:

	bike	run
summer	108	212
winter		98

What value could go in the blank cell so that the percentage of people who like to bike and also prefer winter weather is 10%?