**Question**

A group of students were surveyed about the number of times they went to a movie theater last year. Their responses are summarized in the relative frequency table below.

What is the *cumulative* relative frequency of students that went to 7 or fewer movies?

Number of Movies |
Relative Frequency |

0−1 | 0.08 |

2−3 | 0.20 |

4−5 | 0.30 |

6−7 | 0.24 |

8−9 | 0.10 |

10 or more | 0.08 |

# Question

A small startup company wishes to know how many hours, per week, that its employees spend commuting to and from work. Their responses are summarized in the relative frequency table below.

What is the *cumulative* relative frequency of employees who commute 12 hours or fewer?

**Question**

A group of students were surveyed about the number of pets they have. Their responses are summarized in the relative frequency table below.

What is the missing relative frequency?

Number of Pets |
Relative Frequency |

0 | 0.30 |

1 | \Large\square |

2 | 0.15 |

3 or more | 0.20 |

**Question**

Given the frequency table below, what is the relative frequency of the data value 7?

Value |
Frequency |

4 | 7 |

5 | 6 |

6 | 4 |

7 | 3 |

**Question**

A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 6. Give your answer as a single number. For example if you found the number of values was 14, you would enter 14.

Value |
Frequency |

1 | 5 |

2 | 3 |

3 | 2 |

4 | 3 |

5 | 4 |

6 | 3 |

7 | 8 |

8 | 3 |

9 | 7 |

10 | 8 |

11 | 3 |

**Question**

A data set is summarized in the frequency table below. Using the table, determine the number of values greater than or equal to 8. Give your answer as a single number. For example if you found the number of values was 33, you would enter 33.

Value |
Frequency |

1 | 1 |

2 | 2 |

3 | 1 |

4 | 2 |

5 | 2 |

6 | 3 |

7 | 4 |

8 | 4 |

9 | 6 |

10 | 8 |

11 | 4 |

12 | 5 |

**Question**

Given the frequency table below, what is the relative frequency of the data value 8?

Value |
Frequency |

4 | 2 |

5 | 7 |

6 | 9 |

7 | 6 |

8 | 6 |

**Question**

The relative frequencies for a set of data are shown in the table below.

Value |
Relative Frequency |

1 | 0.15 |

2 | 0.10 |

3 | 0.45 |

4 | 0.30 |

If there are a total of 20 data values, with what frequency does the data value 3 occur?

**Question**

The cumulative relative frequency table for a set of data is shown below.

What is the missing cumulative relative frequency?

Data Value |
Relative Frequency |
Cumulative Relative Frequency |

1 | 0.35 | 0.35 |

2 | 0.25 | □ |

3 | 0.15 | 0.75 |

4 | 0.25 | 1.00 |

**Question**

A data set is summarized in the frequency table below. Using the table, determine the total number of values in the data set that are less than or equal to 7.

Value |
Frequency |

3 | 8 |

4 | 4 |

5 | 3 |

6 | 2 |

7 | 2 |

8 | 7 |

9 | 3 |

10 | 6 |

11 | 3 |

12 | 7 |

**Question**

A data set is summarized in the frequency table below. Using the table, determine the number of data values less than or equal to 5. Give your answer as a single number. For example if you found the number of values was 19, you would enter 19.

Value |
Frequency |

3 | 9 |

4 | 4 |

5 | 3 |

6 | 7 |

7 | 6 |

8 | 3 |

9 | 3 |

10 | 5 |

11 | 4 |

**Question**

A group of students were surveyed about the number of books they read last summer. Their responses are summarized in the relative frequency table below.

What is the *cumulative* relative frequency of students that read 5 or fewer books?

Number of Books |
Relative Frequency |

0−1 | 0.08 |

2−3 | 0.36 |

4−5 | 0.32 |

6−7 | 0.12 |

8−9 | 0.04 |

10 or more | 0.08 |

# Solution:

**Question**

A group of students were surveyed about the number of times they went to a movie theater last year. Their responses are summarized in the relative frequency table below.

What is the *cumulative* relative frequency of students that went to 7 or fewer movies?

Number of Movies |
Relative Frequency |

0−1 | 0.08 |

2−3 | 0.20 |

4−5 | 0.30 |

6−7 | 0.24 |

8−9 | 0.10 |

10 or more | 0.08 |

**Answer:0.82**

# Question

A small startup company wishes to know how many hours, per week, that its employees spend commuting to and from work. Their responses are summarized in the relative frequency table below.

What is the *cumulative* relative frequency of employees who commute 12 hours or fewer?

** Answer: 0.45**

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