High School Math : Understanding Range

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Understanding Range

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?

Possible Answers:

Correct answer:

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 : Data Properties

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?

Possible Answers:

Correct answer:

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 #2 : Understanding Range

You are given the following data: 

What is the range? 

Possible Answers:

Correct answer:

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 #4 : Data Properties

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

Possible Answers:

Correct answer:

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.

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