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SSAT Middle Level Math : Range

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Example Questions

Example Question #71 : Statistics & Probability

The difference between 2996 and 4515 is closest to

Possible Answers:

2500 $\displaystyle 2500$

3000 $\displaystyle 3000$

2000 $\displaystyle 2000$

1000 $\displaystyle 1000$

1500 $\displaystyle 1500$

Correct answer:

1500 $\displaystyle 1500$

Explanation:

Round 2996 up to 3000 and 4515 down to 4500. The difference between 4500 and 3000 is 1500.

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Example Question #1 : Find Range

Find the range of this set of numbers:

89, 54, 76, 89, 94.

Possible Answers:

$\displaystyle 94$

$\displaystyle 54$

$\displaystyle 40$

$\displaystyle 78$

$\displaystyle 89$

Correct answer:

$\displaystyle 40$

Explanation:

First, order the numbers from least to greatest, then find the difference of the highest number and the lowest number.

$\displaystyle 54, 76, 89, 89, 94$

$\displaystyle 94-54=40$

Answer: The range of this set of numbers is 40.

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Example Question #1 : Find Range

Find the range of this set of numbers:

525, 436, 142, 213, 641.

Possible Answers:

428 $\displaystyle 428$

436 $\displaystyle 436$

391 $\displaystyle 391$

499 $\displaystyle 499$

Correct answer:

499 $\displaystyle 499$

Explanation:

First, order the numbers from least to greatest. Then, find the difference between the largest and the smallest number.

$\displaystyle 142, 213, 436, 525, 641.$

$\displaystyle 641-142=499$

Answer: The range is 499. $\displaystyle 499.$

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Example Question #1742 : Grade 6

What is the range of the set of numbers $\displaystyle 45$, $\displaystyle 6$, $\displaystyle 32$, $\displaystyle 11$, $\displaystyle 2$?

Possible Answers:

$\displaystyle 30$

$\displaystyle 43$

$\displaystyle 26$

$\displaystyle 34$

19.2 $\displaystyle 19.2$

Correct answer:

$\displaystyle 43$

Explanation:

The range of a set of numbers is the difference between the largest and smallest numbers. In this set, $\displaystyle 45$ is the largest number and $\displaystyle 2$ is the smallest number. The range, or difference, between these two numbers, is $\displaystyle 43$.

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Example Question #2 : Find Range

Find the range of this set of numbers:

$\displaystyle 546, 321, 789, 601, 751$

Possible Answers:

468 $\displaystyle 468$

601 $\displaystyle 601$

430 $\displaystyle 430$

602 $\displaystyle 602$

Correct answer:

468 $\displaystyle 468$

Explanation:

First order the numbers in order from least to greatest:

$\displaystyle 321, 546, 601, 751, 789$

Then, find the difference of the largest and smallest number in the set:

$\displaystyle 789-321=468.$

Answer: The range is 468 $\displaystyle 468$

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Example Question #1 : Range

What is the range of the set of numbers:

$\displaystyle 106, 94, 95, 89, 102$

Possible Answers:

$\displaystyle 89$

$\displaystyle 17$

$\displaystyle 15$

106 $\displaystyle 106$

$\displaystyle 16$

Correct answer:

$\displaystyle 17$

Explanation:

The ragne of a set of numbers is the difference between the largest and smallest numbers. In this set, 106 $\displaystyle 106$ is the largest number and $\displaystyle 89$ is the smallest number. The range, or difference, between these two numbers, is $\displaystyle 106-89=17$.

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Example Question #1 : Find Range

What is the range of the following data set?

$\small 1321, 1472, 1731, 1137, 1820$ $\displaystyle \small 1321, 1472, 1731, 1137, 1820$

Possible Answers:

$\small 499$ $\displaystyle \small 499$

$\small 1496$ $\displaystyle \small 1496$

544 $\displaystyle 544$

$\small 683$ $\displaystyle \small 683$

$\small 1472$ $\displaystyle \small 1472$

Correct answer:

$\small 683$ $\displaystyle \small 683$

Explanation:

The range of a data set is equal to the difference between the largest $\small (1820)$ $\displaystyle \small (1820)$ and the smallest $\small (1137)$ $\displaystyle \small (1137)$ numbers.

$\small range=1820-1137=683$ $\displaystyle \small range=1820-1137=683$

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Example Question #2 : Find Range

Find the range of this set of numbers:

$\displaystyle 57,59,51,53,54$

Possible Answers:

$\displaystyle 57$

$\displaystyle 7$

$\displaystyle 8$

$\displaystyle 54$

Correct answer:

$\displaystyle 8$

Explanation:

First order the numbers from least to greatest:

$\displaystyle 51, 53, 54, 57, 59$

Then subtract the smallest number from the largest number:

59-51=8 $\displaystyle 59-51=8$

Answer: $\displaystyle 8$

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Example Question #3 : Find Range

Given the following set of numbers, find the range.

$\textup{3, 8, 12, -5, 18, -7, 12, 2, 9}$ $\displaystyle \textup{3, 8, 12, -5, 18, -7, 12, 2, 9}$

Possible Answers:

$\displaystyle -7$

$\displaystyle 18$

$\displaystyle 25$

$\displaystyle 12$

Correct answer:

$\displaystyle 25$

Explanation:

In order to find the range for a set of data, take the largest number and subtract the smallest number.

In this case, the largest number is $\displaystyle 18$ and the smallest number is $\displaystyle -7$.

Remember that when we subtract a negative, we are actually adding the absolute value of the numbers:

Therefore:

$\displaystyle 18 - (-7)$ is the same as 18 + 7 $\displaystyle 18 + 7$

18+7=25 $\displaystyle 18+7=25$

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Example Question #2 : Range

Use the following data set to answer the question:

$\displaystyle 4, 8, 6, 10, 4, 9, 5, 2, 4$

Find the range.

Possible Answers:

$\displaystyle 8$

$\displaystyle 6$

$\displaystyle 5$

$\displaystyle 10$

$\displaystyle 4$

Correct answer:

$\displaystyle 8$

Explanation:

To find the range, we will find the smallest number and the largest number. Then, we will find the difference of those two numbers.

So, given the set

$\displaystyle 4, 8, 6, 10, 4, 9, 5, 2, 4$

we can see the smallest number is 2 and the largest number is 10. Now, we will find the difference. We get

10-2=8 $\displaystyle 10-2=8$

Therefore, the range of the data set is 8.

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SSAT Middle Level Math : Range

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #71 : Statistics & Probability

Example Question #1 : Find Range

Example Question #1 : Find Range

Example Question #1742 : Grade 6

Example Question #2 : Find Range

Example Question #1 : Range

Example Question #1 : Find Range

Example Question #2 : Find Range

Example Question #3 : Find Range

Example Question #2 : Range

All SSAT Middle Level Math Resources

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