Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #656 : Statistics And Probability

Find the range of the dataset:  \(\displaystyle [-\frac{5}{3} , 1, 2,-\frac{3}{7},0]\)

Possible Answers:

\(\displaystyle \frac{11}{7}\)

\(\displaystyle \frac{17}{7}\)

\(\displaystyle \frac{5}{3}\)

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{11}{3}\)

Correct answer:

\(\displaystyle \frac{11}{3}\)

Explanation:

The range is the difference of the largest number and the smallest number in the given dataset.

The largest number is 2.

The smallest number is \(\displaystyle -\frac{5}{3}\).

Subtract these two values.

\(\displaystyle 2-(-\frac{5}{3}) = \frac{6}{3}+ \frac{5}{3} = \frac{11}{3}\)

The answer is:  \(\displaystyle \frac{11}{3}\)

Example Question #81 : How To Find Range

Find the range of the following set of numbers:

\(\displaystyle 1,2,3,80,90,100\)

 

Possible Answers:

\(\displaystyle 79\)

\(\displaystyle 50\)

\(\displaystyle 99\)

\(\displaystyle 98\)

\(\displaystyle 89\)

Correct answer:

\(\displaystyle 99\)

Explanation:

To find the range of any set, find the highest value in the set, and the lowest value in the set, then calculate the difference between them by subtracting the lowest value from the highest value.  The best answer is:

\(\displaystyle 99\)

Example Question #655 : Statistics And Probability

Find the range of the following set of numbers:

\(\displaystyle 200,300,400,500,600\)

Possible Answers:

\(\displaystyle 300\)

\(\displaystyle 350\)

\(\displaystyle 450\)

\(\displaystyle 500\)

\(\displaystyle 400\)

Correct answer:

\(\displaystyle 400\)

Explanation:

To find the range of any set, find the highest value in the set, and the lowest value in the set, then calculate the difference between them by subtracting the lowest value from the highest value.  The best answer is:

\(\displaystyle 400\)

Example Question #657 : Statistics And Probability

Find the range of the following set of numbers:

\(\displaystyle 22,37,84,68,72,34\)

Possible Answers:

\(\displaystyle 37\)

\(\displaystyle 62\)

\(\displaystyle 72\)

\(\displaystyle 68\)

\(\displaystyle 84\)

Correct answer:

\(\displaystyle 62\)

Explanation:

To find the range of any set, find the highest value in the set, and the lowest value in the set, then calculate the difference between them by subtracting the lowest value from the highest value.  The best answer is:

\(\displaystyle 62\)

Example Question #658 : Statistics And Probability

Find the range of the following set of numbers:

\(\displaystyle 12,20,34,11,86,40,22\)

Possible Answers:

\(\displaystyle 75\)

\(\displaystyle 55\)

\(\displaystyle 34\)

\(\displaystyle 20\)

\(\displaystyle 62\)

Correct answer:

\(\displaystyle 75\)

Explanation:

To find the range of any set, find the highest value in the set, and the lowest value in the set, then calculate the difference between them by subtracting the lowest value from the highest value.  The best answer is:

\(\displaystyle 75\)

Example Question #2081 : Algebra 1

Find the range of the following data set:

\(\displaystyle 1, 3, 6, 4, 1, 6, 1, 7, 11\)

Possible Answers:

\(\displaystyle 9\)

\(\displaystyle 10\)

\(\displaystyle 4\)

\(\displaystyle 4.4\)

\(\displaystyle 1\)

Correct answer:

\(\displaystyle 10\)

Explanation:

To find the range of a data set, you find the difference between the largest and the smallest number.  Given the data set

1, 3, 6, 4, 1, 6, 1, 7, 11

The smallest number is 1 and the largest is 11.  The difference of these two numbers is 10.

Therefore, the range equals 10.

Example Question #2082 : Algebra 1

Find the median of the following data set:

\(\displaystyle 33,65,76,123,43,12,789,9045,125\)

Possible Answers:

\(\displaystyle 66\)

\(\displaystyle 12\)

\(\displaystyle 76\)

\(\displaystyle 60\)

Correct answer:

\(\displaystyle 76\)

Explanation:

Find the range of the following data set:

\(\displaystyle 33,65,76,123,43,12,789,9045,125\)

To begin, let's put our data in increasing order:

\(\displaystyle 12,33,43,65,76,123,125,789,9045\)

Now, our median will simply be the middle term.

In this case, our median is 76

\(\displaystyle 12,33,43,65,{\color{Green} 76},123,125,789,9045\)

Example Question #2083 : Algebra 1

Find the range of the dataset:  \(\displaystyle [-1,-8,3,6,-7,-2,0,1]\)

Possible Answers:

\(\displaystyle -2\)

\(\displaystyle -9\)

\(\displaystyle 6\)

\(\displaystyle 14\)

\(\displaystyle 7\)

Correct answer:

\(\displaystyle 14\)

Explanation:

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

The highest number is 6.  The smallest number is negative eight.  Subtract both numbers.

\(\displaystyle 6-(-8) = 14\)

The answer is:  \(\displaystyle 14\)

Example Question #2084 : Algebra 1

Find the range of the following data set:

4, 2, 7, 8, 8, 2, 8, 11, 7

If necessary, round your answer to the nearest whole number.

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 4\)

\(\displaystyle 8\)

\(\displaystyle 6\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

To find the range of a data set, you find the difference of the smallest and largest number.  Given the data set

4, 2, 7, 8, 8, 2, 8, 11, 7

the smallest number is 2 and the largest number is 11.  The difference of these two numbers is

\(\displaystyle 11 - 2 = 9\)

Therefore, the range of the data set is 9.

Example Question #2085 : Algebra 1

Find the range of the dataset:  \(\displaystyle [-3,3,-1,0,74]\)

Possible Answers:

\(\displaystyle -3\)

\(\displaystyle -74\)

\(\displaystyle 74\)

\(\displaystyle 3\)

\(\displaystyle 77\)

Correct answer:

\(\displaystyle 77\)

Explanation:

The range is the difference of the highest and the lowest numbers.

The highest number is 74.  The lowest number is negative three.  

\(\displaystyle 74-(-3) = 77\)

The range is \(\displaystyle 77\).

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