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Two-Way Frequency Tables Worksheet

Explore and interpret two-way frequency tables with this Grade 6 math worksheet, focusing on data analysis and probability concepts.

Grade 6 Math Probability and StatisticsTwo-way Frequency Tables
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Includes

2 TextMultiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.SP.A.4

Topics

mathgrade 6two-way tablesstatisticsprobability
9 sections · Free to use · Printable
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Two-Way Frequency Tables

Name:

Date:

Score:

Read each question carefully and answer based on the provided two-way frequency tables. Show your work where applicable.

The table below shows the results of a survey asking students if they prefer reading books or watching movies, categorized by gender.

| Preference \ Gender | Boys | Girls | Total |

|---------------------|------|-------|-------|

| Books | 15 | 20 | 35 |

| Movies | 25 | 10 | 35 |

| Total | 40 | 30 | 70 |

1. How many boys prefer watching movies?

a

10

b

15

c

25

d

35

2. What is the total number of girls surveyed?

a

10

b

20

c

30

d

35

3. The total number of students who prefer books is  .

4. The number of girls who prefer movies is  .

5. What percentage of the surveyed students are boys?

6. Out of all students who prefer books, what fraction are girls?

A class was surveyed about their favorite type of pet. The results are shown below.

| Pet Type \ Grade | 6th Grade | 7th Grade | Total |

|-------------------|-----------|-----------|-------|

| Dogs | 12 | 18 | 30 |

| Cats | 8 | 10 | 18 |

| Other | 5 | 7 | 12 |

| Total | 25 | 35 | 60 |

7. More 7th graders prefer dogs than 6th graders.

T

True

F

False

8. The most popular pet among all students surveyed is cats.

T

True

F

False

9. What is the joint relative frequency of 6th graders who prefer cats? (Express as a decimal rounded to two places)

10. What is the marginal relative frequency of students who prefer 'Other' pets? (Express as a decimal rounded to two places)