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Algebra 1 : Statistics and Probability

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Example Question #691 : Statistics And Probability

Find the range of the following set of numbers:

$\{1,2,3,4,5,6,7,8,20\}$

Possible Answers:

Correct answer:

Explanation:

To find the range of any set, find the highest value in the set, and the lowest value in the set, then calculate the difference between them by subtracting the lowest value from the highest value.

20-1=19

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Example Question #692 : Statistics And Probability

Find the range of the following set of numbers:

$\{102,128,134,135,140,150\}$

Possible Answers:

Correct answer:

Explanation:

To find the range of any set, find the highest value in the set, and the lowest value in the set, then calculate the difference between them by subtracting the lowest value from the highest value.

150-102=48

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Example Question #117 : How To Find Range

Find the range: [-3,-9,0,-6]

Possible Answers:

Correct answer:

Explanation:

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

The highest number in the dataset is zero.

The lowest number in the dataset is negative nine.

Subtract these numbers. Be sure to add in a parentheses to the quantity of a negative number.

0-(-9) =9

The range is:

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Example Question #118 : How To Find Range

A test was given to a class of students. Three students scored 100 , two scored , one scored , two scored ,one scored and one scored . What was the range for this test for this class?

Possible Answers:

100

81.5

Correct answer:

Explanation:

The range is the difference between the highest and the lowest score which in this case is

100-49=51

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Example Question #119 : How To Find Range

Find the range of the dataset: [100,-2,5,0,1000]

Possible Answers:

1002

998

1000

900

Correct answer:

1002

Explanation:

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

The highest number is 1000.

The lowest number is negative two.

Be sure to enclose the negative number in parentheses when subtracting.

1000-(-2)= 1000+2 =1002

The answer is: 1002

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Example Question #120 : How To Find Range

What is the range of the given dataset? $[\frac{1}{2},-\frac{1}{2}, 0, \frac{5}{6}, -\frac{7}{5}]$

Possible Answers:

$\frac{24}{5}$

$\frac{4}{3}$

$\frac{5}6$

$-\frac{17}{30}$

$\frac{67}{30}$

Correct answer:

$\frac{67}{30}$

Explanation:

The range is the difference between the largest and smallest numbers in the data set.

The largest number is: $\frac{5}{6}$

The smallest number is: $-\frac{7}{5}$

Subtract these numbers. Be sure to enclose the smallest number with parentheses.

$\frac{5}{6}-\left (-\frac{7}{5} \right )$

Rewrite both numbers with the least common denominator.

$\frac{5}{6}-\left (-\frac{7}{5} \right ) = \frac{25}{30}+\frac{42}{30} = \frac{67}{30}$

The answer is: $\frac{67}{30}$

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Example Question #691 : Statistics And Probability

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 #692 : Statistics And Probability

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:

$\sqrt{17}-\sqrt2$

$e^2-\sqrt2$

$e^2-\pi$

$\sqrt2 -e^2$

$\sqrt{15}$

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 #693 : Statistics And Probability

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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Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #691 : Statistics And Probability

Example Question #692 : Statistics And Probability

Example Question #117 : How To Find Range

Example Question #118 : How To Find Range

Example Question #119 : How To Find Range

Example Question #120 : How To Find Range

Example Question #691 : Statistics And Probability

Example Question #692 : Statistics And Probability

Example Question #693 : Statistics And Probability

Example Question #693 : Statistics And Probability

All Algebra 1 Resources

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