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Algebra 1 : How to find range

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Example Questions

Example Question #2121 : Algebra 1

Find the range of the dataset: [-1,-3,-5,-9,1,3,5,9]

Possible Answers:

Correct answer:

Explanation:

The range is the difference between the largest and smallest numbers.

Identify the largest and smallest numbers in the set.

The largest number is 9.

The smallest number is negative nine.

Subtract both numbers. Be sure to enclose the negative number with a parentheses.

9-(-9) =9+9 =18

The answer is:

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Example Question #122 : How To Find Range

Find the range: $[\frac{3}{4},3,1,0,-2,-\frac{5}{2}]$

Possible Answers:

$\frac{11}{2}$

$\frac{1}{2}$

Correct answer:

$\frac{11}{2}$

Explanation:

The range is the difference between the largest and lowest numbers.

The highest number is three.

The lowest number is: $-\frac{5}{2}$

Subtract these numbers. Be sure to enclose the negative fraction in parentheses.

$3-(-\frac{5}{2})=3+\frac{5}{2} = \frac{6}{2}+\frac{5}{2} = \frac{11}{2}$

The range is: $\frac{11}{2}$

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Example Question #693 : Statistics And Probability

Find the range of the given numbers: $[\sqrt2 , \pi, e^2,\sqrt{17}]$

Possible Answers:

$e^2-\sqrt2$

$\sqrt2 -e^2$

$\sqrt{17}-\sqrt2$

$e^2-\pi$

$\sqrt{15}$

Correct answer:

$e^2-\sqrt2$

Explanation:

Convert all irrational numbers in the set to a rounded decimal to determine which numbers are the highest and lowest numbers.

The range is the difference of the highest and lowest numbers.

$\sqrt2 = 1.414$

$\pi =3.14$

e^2 = 7.389

$\sqrt{17}=4.123$

The highest number is e^2 and the lowest number is $\sqrt2$ .

Subtract these numbers.

The answer is: $e^2-\sqrt2$

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Example Question #121 : How To Find Range

Find the range: [2,-2,6,-6,9,-9]

Possible Answers:

Correct answer:

Explanation:

The range is the difference between the highest and lowest numbers.

The highest number is nine. The lowest number is negative nine.

Subtract both numbers.

9-(-9) = 9+9=18

The range is:

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Example Question #2122 : Algebra 1

Find the range of the set of data: [5,-1,-9,30,27,0]

Possible Answers:

$\textup{The range cannot be determined.}$

Correct answer:

Explanation:

The range is the difference between the highest and lowest numbers in the dataset.

The highest number is:

The lowest number is:

Subtract both numbers. Remember that since we are subtracting a quantity, parentheses around the negative number are necessary.

30-(-9)=39

The range is:

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Example Question #702 : Statistics And Probability

Find the range of the data set given: $[\frac{3}{7}, \frac{1}{3},-1 , \frac{4}{21}]$

Possible Answers:

$-\frac{4}{7}$

$\frac{5}{21}$

$-\frac{17}{21}$

$\frac{10}{7}$

$\frac{25}{21}$

Correct answer:

$\frac{10}{7}$

Explanation:

The range is the difference between the highest and lowest numbers.

The lowest number is .

To determine the highest numbers out of the fractions, we will need to change the fractions to a common denominator of 21 and compare the numerators.

$[\frac{3}{7}, \frac{1}{3},-1 , \frac{4}{21}]\rightarrow [ \frac{9}{21},\frac{7}{21},-1, \frac{4}{21}]$

We can see that the highest number is: $\frac{9}{21}$ or $\frac{3}{7}$

Subtract the highest number with the smallest number. Remember to enclose the negative number with parentheses.

$\frac{3}{7}-(-1) = \frac{3}{7}-(-\frac{7}{7}) = \frac{3}{7}+\frac{7}{7} = \frac{10}{7}$

The range is: $\frac{10}{7}$

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Example Question #2123 : Algebra 1

Find the range of the data set: [-5,9,100,999,500]

Possible Answers:

505

1004

495

$\frac{1603}{5}$

995

Correct answer:

1004

Explanation:

The range is the difference between the highest and lowest numbers.

The highest number is 999 .

The lowest number is negative five.

Subtract both numbers. Be sure to enclose the negative number in parentheses.

999-(-5) = 999+5 =1004

The answer is: 1004

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Example Question #122 : How To Find Range

Find the range of the data set:

19, 13, 9, 16, 22, 21, 19, 18, 10, 12

Possible Answers:

Correct answer:

Explanation:

Put the values in numerical order:

9, 10, 12, 13, 16, 18, 19, 19, 21, 22

Subtract the lowest value from the highest value to find your range:

22-9=13

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Algebra 1 : How to find range

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #2121 : Algebra 1

Example Question #122 : How To Find Range

Example Question #693 : Statistics And Probability

Example Question #121 : How To Find Range

Example Question #2122 : Algebra 1

Example Question #702 : Statistics And Probability

Example Question #2123 : Algebra 1

Example Question #122 : How To Find Range

All Algebra 1 Resources

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