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Basic Arithmetic : Basic Statistics

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Example Questions

Example Question #11 : Data Properties

Find the range of the following set of data.

$\displaystyle 14, 22, 22, 31, 32, 35, 36, 37, 39, 41, 42, 48, 50, 58, 63$

Possible Answers:

$\displaystyle 51$

$\displaystyle 48$

$\displaystyle 49$

$\displaystyle 47$

Correct answer:

$\displaystyle 49$

Explanation:

To find the range of a set subtract the smallest number in the set from the largest number in the set:

${\color{Blue} 14}, 22, 22, 31, 32, 35, 36, 37, 39, 41, 42, 48, 50, 58, {\color{Green} 63}$ $\displaystyle {\color{Blue} 14}, 22, 22, 31, 32, 35, 36, 37, 39, 41, 42, 48, 50, 58, {\color{Green} 63}$

The largest number is in green: $\displaystyle 63$

The smallest number is in blue: $\displaystyle 14$

Therefore the range is their difference,

$\displaystyle 63-14=49$ .

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Example Question #81 : Basic Statistics

Find the range of the set:

$\displaystyle 15, 15, 19, 21, 22, 24, 26, 27, 29, 31, 33, 36$

Possible Answers:

$\displaystyle 23$

$\displaystyle 21$

$\displaystyle 20$

$\displaystyle 22$

Correct answer:

$\displaystyle 21$

Explanation:

To find the range of a set subtract the smallest number in the set from the largest number in the set:

${\color{Blue}15}, 15, 19, 21, 22, 24, 26, 27, 29, 31, 33, {\color{Green}36}$ $\displaystyle {\color{Blue}15}, 15, 19, 21, 22, 24, 26, 27, 29, 31, 33, {\color{Green}36}$

The largest number is in green: $\displaystyle 36$

The smallest number is in blue: $\displaystyle 15$

Therefore the range is their difference,

$\displaystyle 36-15=21$ .

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Example Question #81 : Basic Statistics

What is the range of the following data set?

$\displaystyle 45,35,22,1,6,22,98,103,49$

Possible Answers:

104 $\displaystyle 104$

$\displaystyle 6$

$\displaystyle 4$

102 $\displaystyle 102$

Correct answer:

102 $\displaystyle 102$

Explanation:

What is the range of the following data set?

$\displaystyle 45,35,22,1,6,22,98,103,49$

The range is found by taking the difference between the largest and smallest value in the data set.

Largest: 103

Smallest: 1

$\displaystyle R=103-1=102$

So our range is 102 $\displaystyle 102$

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Example Question #81 : Basic Statistics

Find the range of the following dataset: $\displaystyle x= [2,-5,-7,-10,6]$

Possible Answers:

$\displaystyle -4$

$\displaystyle 4$

$\displaystyle 16$

$\displaystyle -16$

$\displaystyle 12$

Correct answer:

$\displaystyle 16$

Explanation:

The range is the difference of the largest and the smallest number.

The largest number in this set is $\displaystyle 6$ . The smallest number in this set is $\displaystyle -10$ .

Subtract these numbers.

$\displaystyle 6-(-10 ) = 6+10 =16$

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Example Question #82 : Basic Statistics

Find the range of this data set:

$\displaystyle 145,57,223,76,453,123,979,57,76,233,435,76$

Possible Answers:

244 $\displaystyle 244$

922 $\displaystyle 922$

$\displaystyle 76$

134 $\displaystyle 134$

Correct answer:

922 $\displaystyle 922$

Explanation:

Find the range of this data set:

$\displaystyle 145,57,223,76,453,123,979,57,76,233,435,76$

To begin, let's put our numbers in increasing order:

$\displaystyle 57,57,76,76,76,123,145,223,233,435,453,979$

Next, find the difference between our largest and smallest number. This is our range:

$\displaystyle 979-57=922$

So our answer is 922

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Example Question #51 : Basic Statistics

What is the range of the following equation?

$\small 3x+2$ $\displaystyle \small 3x+2$ where $\small 3\leq x\leq10$ $\displaystyle \small 3\leq x\leq10$

Possible Answers:

$\small 20$ $\displaystyle \small 20$

$\small 19$ $\displaystyle \small 19$

Cannot be determined

$\small 15$ $\displaystyle \small 15$

$\small 21$ $\displaystyle \small 21$

Correct answer:

$\small 21$ $\displaystyle \small 21$

Explanation:

The range is the smallest value subtracted from the biggest value.

This means that for this specific example you need to plug in "3" into the equation and subtract your answer from what you get when you plug "10" into the equation as these are the two endpoints of your function.

Upon doing this you get:

$\small 32-11=21$ $\displaystyle \small 32-11=21$

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Basic Arithmetic : Basic Statistics

Study concepts, example questions & explanations for Basic Arithmetic

All Basic Arithmetic Resources

Example Questions

Example Question #11 : Data Properties

Example Question #81 : Basic Statistics

Example Question #81 : Basic Statistics

Example Question #81 : Basic Statistics

Example Question #82 : Basic Statistics

Example Question #51 : Basic Statistics

All Basic Arithmetic Resources

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