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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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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:

1, 10, 9, 5, 8, 6, 4, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 4, 2, 6, 2

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:

1, 10, 9, 5, 8, 6, 4, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 4, 2, 6, 2

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

1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8, 9, 10

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

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Example Question #2 : Interpreting Categorical & Quantitative Data

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

1, 10, 9, 5, 8, 6, 4, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 4, 2, 6, 2

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

Possible Answers:

Runchart1

Runchart4

Runchart3

Runchart2

Runchart5

Correct answer:

Runchart1

Explanation:

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

1, 10, 9, 5, 8, 6, 4, 3, 3, 3, 3, 3, 4, 2, 1, 3, 3, 4, 2, 6, 2

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

1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6, 8, 9, 10

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

Report an Error

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:

11,11,12,10,10,9,4,10,6,7,10,2,10,9,2,11,11,4,8,6,8

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:

11,11,12,10,10,9,4,10,6,7,10,2,10,9,2,11,11,4,8,6,8

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

2,2,4,4,6,6,7,8,8,9,9,10,10,10,10,10,11,11,11,11,12

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

$\begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 2 & 2 \\ \hline 4 & 2 \\ \hline 6 & 2 \\ \hline 7 & 1 \\ \hline 8 & 2 \\ \hline 9 & 2 \\ \hline 10 & 5 \\ \hline 11 & 4 \\ \hline 12 & 1 \\ \hline \end{tabular}$

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

Hist1.1

Report an Error

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:

5,3,9,14,10,14,11,2,13,2,14,13,4,9,10,9,9,2,4,10,7

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:

5,3,9,14,10,14,11,2,13,2,14,13,4,9,10,9,9,2,4,10,7

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

2,2,2,3,4,4,5,7,9,9,9,9,10,10,10,11,13,13,14,14,14
Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

$\begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 2 & 3 \\ \hline 3 & 1 \\ \hline 4 & 2 \\ \hline 5 & 1 \\ \hline 7 & 1 \\ \hline 9 & 4 \\ \hline 10 & 3 \\ \hline 11 & 1 \\ \hline 13 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}$

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

Report an Error

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:

11,11,10,3,3,14,9,6,1,14,4,4,13,1,14,6,3,7,3,13,5

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

Possible Answers:

Hist3.1

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:

11,11,10,3,3,14,9,6,1,14,4,4,13,1,14,6,3,7,3,13,5

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

1,1,3,3,3,3,4,4,5,6,6,7,9,10,11,11,13,13,14,14,14

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

$\begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 2 \\ \hline 3 & 4 \\ \hline 4 & 2 \\ \hline 5 & 1 \\ \hline 6 & 2 \\ \hline 7 & 1 \\ \hline 9 & 1 \\ \hline 10 & 1 \\ \hline 11 & 2 \\ \hline 13 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}$

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:
Hist3.1

Report an Error

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:

7,10,2,11,5,11,6,5,8,8,14,14,13,4,9,2,4,14,4,11,11

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:

7,10,2,11,5,11,6,5,8,8,14,14,13,4,9,2,4,14,4,11,11

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

2,2,4,4,4,5,5,6,7,8,8,9,10,11,11,11,11,13,14,14,14

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

$\begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 2 & 2 \\ \hline 4 & 3 \\ \hline 5 & 2 \\ \hline 6 & 1 \\ \hline 7 & 1 \\ \hline 8 & 2 \\ \hline 9 & 1 \\ \hline 10 & 1 \\ \hline 11 & 4 \\ \hline 13 & 1 \\ \hline 14 & 3 \\ \hline \end{tabular}$

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

Hist1.1

Report an Error

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:

7,1,6,4,12,6,12,7,7,5,14,6,6,12,7,8,12,3,7,6,11

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:

7,1,6,4,12,6,12,7,7,5,14,6,6,12,7,8,12,3,7,6,11

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

1,3,4,5,6,6,6,6,6,7,7,7,7,7,8,11,12,12,12,12,14
Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

$\begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 1 \\ \hline 3 & 1 \\ \hline 4 & 1 \\ \hline 5 & 1 \\ \hline 6 & 5 \\ \hline 7 & 5 \\ \hline 8 & 1 \\ \hline 11 & 1 \\ \hline 12 & 4 \\ \hline 14 & 1 \\ \hline \end{tabular}$

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:
Hist2.1

Report an Error

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:

11,9,1,1,13,4,8,2,2,14,3,2,10,2,13,12,5,5,8,2,10

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:

11,9,1,1,13,4,8,2,2,14,3,2,10,2,13,12,5,5,8,2,10

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

1,1,2,2,2,2,2,3,4,5,5,8,8,9,10,10,11,12,13,13,14

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

$\begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 2 \\ \hline 2 & 5 \\ \hline 3 & 1 \\ \hline 4 & 1 \\ \hline 5 & 2 \\ \hline 8 & 2 \\ \hline 9 & 1 \\ \hline 10 & 2 \\ \hline 11 & 1 \\ \hline 12 & 1 \\ \hline 13 & 2 \\ \hline 14 & 1 \\ \hline \end{tabular}$

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

Hist3.1

Report an Error

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:

6,3,12,6,5,12,8,2,14,13,3,11,11,2,3,14,1,7,14,3,8

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:

6,3,12,6,5,12,8,2,14,13,3,11,11,2,3,14,1,7,14,3,8

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

1,2,2,3,3,3,3,5,6,6,7,8,8,11,11,12,12,13,14,14,14
Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

$\begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 1 \\ \hline 2 & 2 \\ \hline 3 & 4 \\ \hline 5 & 1 \\ \hline 6 & 2 \\ \hline 7 & 1 \\ \hline 8 & 2 \\ \hline 11 & 2 \\ \hline 12 & 2 \\ \hline 13 & 1 \\ \hline 14 & 3 \\ \hline \end{tabular}$

Last, we will use this information to create a histogram of frequencies. The following histogram most accurately represents the given data:
Hist4.1

Report an Error

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:

5,7,2,12,13,14,10,9,7,6,1,5,6,10,2,9,13,10,14,14,1

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:

5,7,2,12,13,14,10,9,7,6,1,5,6,10,2,9,13,10,14,14,1

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

1,1,2,2,5,5,6,6,7,7,9,9,10,10,10,12,13,13,14,14,14
Second, we need to create a frequency table using the given information. The constructed frequency table should look like the following figure:

$\begin{tabular}{|c|c|} \hline Run Time in Minutes & Frequency \\ \hline 1 & 2 \\ \hline 2 & 2 \\ \hline 5 & 2 \\ \hline 6 & 2 \\ \hline 7 & 2 \\ \hline 9 & 2 \\ \hline 10 & 3 \\ \hline 12 & 1 \\ \hline 13 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}$

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

Hist5.1

Report an Error

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

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

All Common Core: High School - Statistics and Probability Resources

Example Questions

Example Question #1 : Interpreting Categorical & Quantitative Data

Example Question #2 : Interpreting Categorical & Quantitative Data

Example Question #3 : Interpreting Categorical & Quantitative Data

Example Question #4 : High School: Statistics & Probability

Example Question #1 : Interpreting Categorical & Quantitative Data

Example Question #5 : High School: Statistics & Probability

Example Question #6 : High School: Statistics & Probability

Example Question #7 : High School: Statistics & Probability

Example Question #8 : High School: Statistics & Probability

Example Question #9 : High School: Statistics & Probability

All Common Core: High School - Statistics and Probability Resources

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