Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #42 : How To Find Range

What is the range of the following number set?

\(\displaystyle 9,7,-7,2,10,6\)

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 4\)

\(\displaystyle 17\)

\(\displaystyle 8\)

\(\displaystyle 2\)

Correct answer:

\(\displaystyle 17\)

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set. In our set \(\displaystyle 9,7,-7,2,10,6\), the highest number is \(\displaystyle 10\) and the lowest number is \(\displaystyle -7\). Therefore, the range is \(\displaystyle 10-(-7)=17\).

Example Question #41 : How To Find Range

What is the range of the following number set?

\(\displaystyle 6,4,\frac{1}{3},\frac{1}{4},\frac{5}{16}\)

Possible Answers:

\(\displaystyle \frac{23}{16}\)

\(\displaystyle \frac{23}{4}\)

\(\displaystyle \frac{21}{16}\)

\(\displaystyle \frac{16}{21}\)

\(\displaystyle \frac{21}{4}\)

Correct answer:

\(\displaystyle \frac{23}{4}\)

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set. In our set \(\displaystyle 6,4,\frac{1}{3},\frac{1}{4},\frac{5}{16}\), the highest number is \(\displaystyle 6\) and the lowest number is \(\displaystyle \frac{1}{4}\). Therefore, the range is \(\displaystyle 6-\frac{1}{4}=\frac{24}{4}-\frac{1}{4}=\frac{23}{4}\).

Example Question #41 : How To Find Range

What is the range of the following number set?

\(\displaystyle 0,1,2,5,4\)

Possible Answers:

\(\displaystyle 2\)

\(\displaystyle 3\)

\(\displaystyle 5\)

\(\displaystyle 4\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 5\)

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set.

In our set \(\displaystyle 0,1,2,5,4\), the highest number is \(\displaystyle 5\) and the lowest number is \(\displaystyle 0\).

Therefore, the range is \(\displaystyle 5-0=5\).

Example Question #41 : How To Find Range

What is the range of the following number set?

\(\displaystyle 2,4,5,1,-1,0,10,11,3\)

 

Possible Answers:

\(\displaystyle 10\)

\(\displaystyle 11\)

\(\displaystyle 8\)

\(\displaystyle 12\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 12\)

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set.

In our set \(\displaystyle 2,4,5,1,-1,0,10,11,3\), the highest number is and the lowest number is \(\displaystyle -1\).

Therefore, the range is \(\displaystyle 11-(-1)=12\).

 

 

Example Question #41 : How To Find Range

What is the range of the following number set?

\(\displaystyle 0,-1,1,-2,2,3,4\)

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 2\)

\(\displaystyle 5\)

\(\displaystyle 4\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 6\)

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set.

In our set \(\displaystyle 0,-1,1,-2,2,3,4\), the highest number is \(\displaystyle 4\) and the lowest number is \(\displaystyle -2\).

Therefore, the range is \(\displaystyle 4-(-2)=6\).

Example Question #2051 : Algebra 1

Find the range of the dataset:  \(\displaystyle c=[3,8,2,7,6]\)

Possible Answers:

\(\displaystyle 26\)

\(\displaystyle 3\)

\(\displaystyle 10\)

\(\displaystyle 6\)

\(\displaystyle 5\)

Correct answer:

\(\displaystyle 6\)

Explanation:

Order the dataset from least to greatest.

\(\displaystyle c=[3,8,2,7,6] = [2,3,6,7,8]\)

The range is the highest number in the dataset subtract the lowest number.

\(\displaystyle 8-2=6\)

The answer is:  \(\displaystyle 6\)

Example Question #51 : How To Find Range

Find the range.

\(\displaystyle 23, 33, 45, 51, 67, 88, 91\)

Possible Answers:

\(\displaystyle 91\)

\(\displaystyle 68\)

\(\displaystyle 48\)

\(\displaystyle 23\)

\(\displaystyle 78\)

Correct answer:

\(\displaystyle 68\)

Explanation:

Range is the difference between the largest and the smallest number in the set. In this case, we have \(\displaystyle 91, 23\). The difference is \(\displaystyle 68\).

Example Question #2052 : Algebra 1

Find the range.

\(\displaystyle 21, 12, 45, 33, 76, 102, 32, 9, 14\)

Possible Answers:

\(\displaystyle 90\)

\(\displaystyle 93\)

\(\displaystyle 7\)

\(\displaystyle 85\)

\(\displaystyle 77\)

Correct answer:

\(\displaystyle 93\)

Explanation:

Range is the differene between the largest and smallest number in the set. It's best to arrange the numbers from smallest to greatest. We have \(\displaystyle 9, 12, 14, 21, 32, 33, 45, 76, 102\). So we take the difference of \(\displaystyle 102, 9\) and we get \(\displaystyle 93\) as our final answer. 

Example Question #52 : How To Find Range

Find the range in the following set of numbers:

\(\displaystyle 9, 21, 15, 6, 19, 7, 9, 18, 9, 11\)

Possible Answers:

\(\displaystyle 15\)

\(\displaystyle 10\)

\(\displaystyle 21\)

\(\displaystyle 6\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 15\)

Explanation:

To find the range of a set of numbers, we simply find the largest and smallest number and subtract them.  

The largest number is 21 and the smallest number is 16.  

So,

\(\displaystyle 21 - 6 = 15\)

Therefore, the range is 15.

Example Question #53 : How To Find Range

Find the range of the following data set.

\(\displaystyle 1,6,47,93,12,43,-36,45,12\)

Possible Answers:

\(\displaystyle 57\)

\(\displaystyle 92\)

\(\displaystyle 39\)

\(\displaystyle 129\)

Correct answer:

\(\displaystyle 129\)

Explanation:

Find the range of the following data set.

\(\displaystyle 1,6,47,93,12,43,-36,45,12\)

To find range, first identify the smallest and largest terms in your data set.

In this case, the largest number is 93

The smallest number is -36

Now, to find the range, we need to find the difference between them:

\(\displaystyle 93--36=129\)

So our range is 129.

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