# Algebra 1 : How to find range

## Example Questions

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### Example Question #1 : How To Find Range

We want to create a three digit code for a combination lock.  Only digits from 0-9 are allowed and digits can be repeated.  How many such codes can be generated?      Explanation:

The first position can be filled 10 ways and since repetition is allowed, the 2nd position can be filled in 10 ways and similarly the third position can be filled in 10 ways as well, giving us the correct answer of ### Example Question #1 : How To Find Range

You are given the following number set:

2, 8, 3, 6, 9, 10, 5

Find the range.      Explanation:

The range is the difference between the lowest and the highest number in the number set.

The lowest number in the number set is 2 while the highest number is 10. Therefore, the range is calculated as So 8 is the range.

### Example Question #1 : How To Find Range

Evaluate:       Explanation:

This is a combination problem.  All we need to solve this problem is the combination formula:  Now  and Instead of finding answers for all of these factorials, notice that they have many of the same terms and can therefore be cancelled. ### Example Question #4 : How To Find Range

A teacher is grading quizzes and recording the scores in her records.  The scores are recorded as follows: 81, 91, 83, 88, 74, 98, 81, 94, 68, 92, 77, 79, 83, 91, 81, 84, 85, 81, 85, 79, 83, 81, 83.

What is the range?      Explanation:

The range of the statistics is simply the difference between the largest value and the smallest value.

The largest number in the set is 98, and the smallest number is 68.

Subtract to find the range: ### Example Question #1 : How To Find Range Given the set of test scores, what is the range?      Explanation:

The range is the difference between the smallest number and the largest number. The smallest value is 77, and the largest is 98.

98 – 77 = 21

### Example Question #1 : How To Find Range

The range of the following data set is 18. What is a possible value for ?   Cannot be determined   Explanation:

Arrange the known values in the set in numerical order: {–5, –2, 1, 3, 5, 7, 7, 10}. The range is the difference between the largest value and smallest value.

x must be either the largest or the smallest value in the set.

range = x – smallest value

18 = x – (–5)

18 = x + 5

13 = x

OR

range = largest value – x

18 = 10 – x

8 = –x

–8 = x

### Example Question #2 : How To Find Range The above chart shows a specific week of work at an advertising firm.  What is the range of the hourly rates of the workers?      Explanation:

The range is difference between the largest value and the smallest value.   ### Example Question #581 : Statistics And Probability

What is the range of the set ?     Explanation:

The range is defined as the difference between the highest and lowest numbers in a set. Here, the highest number is and the lowest is Therefore, the range is  is the mode, is the mean, and 6 is the median.

### Example Question #5 : How To Find Range

In the set of numbers, what is the range?       Explanation:

To determine the range of this data set, take the largest number and subtract it with the smallest number.

The largest number in the set is ten.

The smallest number in the set is .

Subtract both numbers. ### Example Question #6 : How To Find Range

Find the range of the following set of numbers.      Explanation:

Subtract the lowest number (4) from the highest (52) to get 48.  ← Previous 1 3 4 5 6 7 8 9 12 13

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