Common Core: 6th Grade Math : Find Measures of Center, Variability, and Patterns in Data: CCSS.Math.Content.6.SP.B.5c

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #10 : Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 9.44.17 am

Possible Answers:

\(\displaystyle 16\)

\(\displaystyle 10\)

\(\displaystyle 17\)

\(\displaystyle 27\)

Correct answer:

\(\displaystyle 16\)

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set. 

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

\(\displaystyle 11,11,13,14,14,14,14,15,18,19,20,20,21,22,27\)

Next, we can solve for the difference between the highest value and the lowest value:

\(\displaystyle \frac{\begin{array}[b]{r}27\\ -\ 11\end{array}}{ \ \ \ \space 16}\)

The range for this data set is \(\displaystyle 16\)

Example Question #11 : Data Analysis

Find the range of the data set provided:

Screen shot 2016 04 05 at 10.03.05 am

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 9\)

\(\displaystyle 12\)

\(\displaystyle 10\)

Correct answer:

\(\displaystyle 10\)

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set. 

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

\(\displaystyle 1,2,3,3,4,4,4,4,5,7,8,9,10,10,11\)

Next, we can solve for the difference between the highest value and the lowest value:

\(\displaystyle \frac{\begin{array}[b]{r}11\\ -\ 1\end{array}}{ \ \ \ \space 10}\)

The range for this data set is \(\displaystyle 10\)

Example Question #11 : Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 10.19.45 am

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 9\)

\(\displaystyle 8\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 8\)

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set. 

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

\(\displaystyle 1,2,2,3,3,4,4,4,4,4,7,8,8,9,9\)

Next, we can solve for the difference between the highest value and the lowest value:

\(\displaystyle \frac{\begin{array}[b]{r}9\\ -\ 1\end{array}}{ \ \ \ \space 8}\)

The range for this data set is \(\displaystyle 8\)

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