Understanding Range

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Math › Understanding Range

Questions 1 - 4
1

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.

2

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.

3

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.

4

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 .

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