# Common Core: High School - Statistics and Probability : Interpreting Categorical & Quantitative Data

## Example Questions

### Example Question #1 : Represent Data With Plots: Ccss.Math.Content.Hss Id.A.1

Represent data with plots on the real number line (dot plots, histograms, and box plots).

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

### Example Question #2 : Represent Data With Plots: Ccss.Math.Content.Hss Id.A.1

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

### Example Question #1 : Interpreting Categorical & Quantitative Data

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

### Example Question #4 : Represent Data With Plots: Ccss.Math.Content.Hss Id.A.1

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:
Insert hist1.1 here.

### Example Question #5 : Represent Data With Plots: Ccss.Math.Content.Hss Id.A.1

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

1

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

### Example Question #6 : Represent Data With Plots: Ccss.Math.Content.Hss Id.A.1

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

### Example Question #7 : Represent Data With Plots: Ccss.Math.Content.Hss Id.A.1

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

### Example Question #8 : Represent Data With Plots: Ccss.Math.Content.Hss Id.A.1

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

### Example Question #9 : Represent Data With Plots: Ccss.Math.Content.Hss Id.A.1

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?

Explanation:

First, we need to organize the data in order from least to greatest. We are given the following data set:

When we order the run times from least to greatest we can write the following set:

Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:

### Example Question #10 : Represent Data With Plots: Ccss.Math.Content.Hss Id.A.1

A gym class ran a quarter-mile exercise and the coach recorded the following student times in minutes:

Which of the following histograms most accurately represents the frequency of the student's run times?