# High School Math : Understanding Range

## Example Questions

### Example Question #1 : How To Find The Range For A Set Of Data

Six homes are for sale and have the following dollar values in thousands of dollars:

535

155

305

720

315

214

What is the range of the values of the six homes?      Explanation:

The range is the simplest measurement of the difference between values in a data set.  To find the range, one simply subtracts the lowest value from the greatest value, ignoring the others.  Here, the lowest value is 155 and the greatest is 720. ### Example Question #2 : How To Find The Range For A Set Of Data

Alice recorded the outside temperature at noon each day for one week. These were the results.

Monday: 78

Tuesday: 85

Wednesday: 82

Thursday: 84

Friday: 82

Saturday: 79

Sunday: 80

What is the range of temperatures?      Explanation:

The range is the simplest measurement of the difference between values in a data set.  To find the range, simply subtract the lowest value from the greatest value, ignoring the others. ### Example Question #1 : Understanding Range

You are given the following data: What is the range?      Explanation:

Recall that we find the range of a set of data by subtracting the smallest value from the largest value. In this case, the smallest value is and the largest value is . Thus, our range is .

### Example Question #2 : Understanding Range

There are girls and boys running a race.  What is the probability that only boys will finish in the top three places?      Explanation:

Probability is a fraction between and .  The numerator is the total number of ways to get what you want, or a subset of the sample space.  The denominator is the total ways, or complete sample space.

The number of ways only boys would finsih in the top three places: The number of ways all contestants can finish the race: So the probability of only boys finishing in the top three places is given by the fraction when simplified. 