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

Study concepts, example questions & explanations for Common Core: High School - Statistics and Probability

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All Common Core: High School - Statistics and Probability Resources

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Example Questions

Example Question #1 : Interpreting Categorical & Quantitative Data

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?

Possible Answers:

Runchart1

Runchart5

Runchart3

Runchart2

Correct answer:

Runchart1

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:

Screen shot 2015 11 23 at 6.06.45 pm

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

Runchart1

Example Question #1 : High School: Statistics & Probability

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?

Possible Answers:

Runchart3

Runchart2

Runchart5

Runchart4

Runchart1

Correct answer:

Runchart1

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:

Screen shot 2015 11 23 at 6.06.45 pm

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

Runchart1

Example Question #3 : 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?

Possible Answers:

Hist1.5

Hist1.4

Hist1.2

Hist1.3

Hist1.1

Correct answer:

Hist1.1

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:

Hist1.1

Example Question #4 : High School: Statistics & Probability

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?

Possible Answers:

Hist2.5

Hist2.2

Hist2.1

Hist2.4

Hist2.3

Correct answer:

Hist2.1

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:
Insert hist1.1 here.
Hist2.1

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?

Possible Answers:

Hist3.1

1

Correct answer:

Hist3.1

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:
Hist3.1

Example Question #5 : High School: Statistics & Probability

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?

Possible Answers:

Hist1.4

Hist1.3

Hist1.5

Hist1.1

Hist1.2

Correct answer:

Hist1.1

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:

Hist1.1

Example Question #6 : High School: Statistics & Probability

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?

Possible Answers:

Hist2.4

Hist2.2

Hist2.5

Hist2.3

Hist2.1

Correct answer:

Hist2.1

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:
Hist2.1

Example Question #7 : High School: Statistics & Probability

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?

Possible Answers:

Hist3.5

Hist3.4

Hist3.1

Hist3.3

Hist3.2

Correct answer:

Hist3.1

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:

Hist3.1

Example Question #8 : High School: Statistics & Probability

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?

Possible Answers:

Hist4.5

Hist4.2

Hist4.3

Hist4.1

Hist4.4

Correct answer:

Hist4.1

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:
Hist4.1

Example Question #9 : High School: Statistics & Probability

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?

Possible Answers:

Hist5.1

Hist5.4

Hist5.2

Hist5.5

Hist5.3

Correct answer:

Hist5.1

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:

Hist5.1

All Common Core: High School - Statistics and Probability Resources

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