Algebra II : Basic Statistics

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #111 : Basic Statistics

Determine the range of the data set:  \(\displaystyle [9,90,0,500,700,100]\)

Possible Answers:

\(\displaystyle 1399\)

\(\displaystyle 95\)

\(\displaystyle 700\)

\(\displaystyle 91\)

\(\displaystyle \frac{1399}{6}\)

Correct answer:

\(\displaystyle 700\)

Explanation:

The range is defined as the difference between the highest and lowest numbers given.

The highest number is:  \(\displaystyle 700\)

The lowest number is:  \(\displaystyle 0\)

Subtract both numbers.

\(\displaystyle 700-0=700\)

The answer is:  \(\displaystyle 700\)

Example Question #81 : Range

Determine the range of the numbers:  \(\displaystyle [-9,-5,-3,-1,-88,-5]\)

Possible Answers:

\(\displaystyle 85\)

\(\displaystyle 89\)

\(\displaystyle 111\)

\(\displaystyle 87\)

\(\displaystyle 79\)

Correct answer:

\(\displaystyle 87\)

Explanation:

The range is the difference between the largest and smallest numbers provided.

The largest number is: \(\displaystyle -1\)

The smallest number is:  \(\displaystyle -88\)

Subtract the two quantities.

\(\displaystyle -1-(-88) = -1+88 =87\)

The answer is:  \(\displaystyle 87\)

Example Question #181 : Algebra Ii

Determine the range of the set of values:  \(\displaystyle [-8,0.02,1.55,-2.7]\)

Possible Answers:

\(\displaystyle 7.45\)

\(\displaystyle 6.45\)

\(\displaystyle 7.98\)

\(\displaystyle 9.55\)

\(\displaystyle 8.02\)

Correct answer:

\(\displaystyle 9.55\)

Explanation:

The range is defined as the difference of the largest and smallest numbers.

The largest number is:  \(\displaystyle 1.55\)

The smallest number is:  \(\displaystyle -8\)

Subtract these numbers.

\(\displaystyle 1.55-(-8) = 1.55+8 = 9.55\)

The range is:  \(\displaystyle 9.55\)

Example Question #81 : Data Properties

Determine the range of the numbers:  \(\displaystyle [-9,-74,11,29,500]\)

Possible Answers:

\(\displaystyle 489\)

\(\displaystyle 426\)

\(\displaystyle 623\)

\(\displaystyle 457\)

\(\displaystyle 574\)

Correct answer:

\(\displaystyle 574\)

Explanation:

Identify the largest and smallest numbers.  The range is the difference between the highest and lowest numbers.

The largest number is 500.

The smallest number is negative 74.

Subtract both numbers.  Brace the negative number using parentheses since this is a quantity.

\(\displaystyle 500-(-74) = 500+74 = 574\)

The answer is:  \(\displaystyle 574\)

Example Question #81 : Data Properties

Determine the range of the numbers:  \(\displaystyle [-5,-3,-\frac{1}{5},-3]\)

Possible Answers:

\(\displaystyle \frac{24}{5}\)

\(\displaystyle 0\)

\(\displaystyle \frac{9}{2}\)

\(\displaystyle \frac{10}{3}\)

\(\displaystyle 8\)

Correct answer:

\(\displaystyle \frac{24}{5}\)

Explanation:

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

The highest number is:  \(\displaystyle -\frac{1}{5}\)

The lowest number is:  \(\displaystyle -5\)

Subtract both numbers.

\(\displaystyle -\frac{1}{5}-(-5) = -\frac{1}{5}+5 =-\frac{1}{5}+\frac{25}{5} = \frac{24}{5}\)

The answer is:  \(\displaystyle \frac{24}{5}\)

Example Question #88 : Range

Determine the range of the numbers:  \(\displaystyle [-9,33,64,81]\)

Possible Answers:

\(\displaystyle 178\)

\(\displaystyle 72\)

\(\displaystyle 145\)

\(\displaystyle 90\) 

\(\displaystyle 169\)

Correct answer:

\(\displaystyle 90\) 

Explanation:

The range is defined as the difference between the largest and smallest numbers.

The largest number is \(\displaystyle 81\).

The smallest number is negative nine.

Subtract both numbers.

\(\displaystyle 81-(-9) =90\)

The answer is:  \(\displaystyle 90\)

Example Question #181 : Algebra Ii

Identify the range of the numbers:  \(\displaystyle [17,33,26,59,41]\)

Possible Answers:

\(\displaystyle 166\)

\(\displaystyle \textup{The range is not given.}\)

\(\displaystyle 33\)

\(\displaystyle 176\)

\(\displaystyle 42\)

Correct answer:

\(\displaystyle 42\)

Explanation:

The range of the numbers is the difference between the largest and smallest numbers.

The largest number is 59.

The smallest number is 17.

Subtract the two numbers.

\(\displaystyle 59-17 = 42\)

The answer is:  \(\displaystyle 42\)

Example Question #184 : Algebra Ii

Solve for the range:  \(\displaystyle [0.2,0.09,-0.1,-0.05]\)

Possible Answers:

\(\displaystyle 1.05\)

\(\displaystyle 0.01\)

\(\displaystyle 2.09\)

\(\displaystyle 0.30\)

\(\displaystyle 0.29\)

Correct answer:

\(\displaystyle 0.30\)

Explanation:

Identify the largest and smallest numbers.

The largest number is:  \(\displaystyle 0.2\)

The smallest number is:  \(\displaystyle -0.1\)

Subtract the two numbers.   Use parentheses to brace the negative value.

\(\displaystyle 0.2-(-0.1) = 0.2+0.1 = 0.3\)

The answer is:  \(\displaystyle 0.30\)

Example Question #183 : Algebra Ii

Determine the range of the data set:  \(\displaystyle [-5,8,-3,-36,-77,30]\)

Possible Answers:

\(\displaystyle 85\)

\(\displaystyle 83\)

\(\displaystyle 41\)

\(\displaystyle -4\)

\(\displaystyle 107\)

Correct answer:

\(\displaystyle 107\)

Explanation:

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

The largest number is \(\displaystyle 30\).

The smallest number is \(\displaystyle -77\).

Subtract both values.

\(\displaystyle 30-(-77) = 30+77=107\)

The answer is:  \(\displaystyle 107\)

Example Question #91 : Data Properties

Determine the range of the numbers:  \(\displaystyle [-7,-10,-15,-23,-26]\)

Possible Answers:

\(\displaystyle 78\)

\(\displaystyle 21\)

\(\displaystyle 33\)

\(\displaystyle 81\)

\(\displaystyle 19\)

Correct answer:

\(\displaystyle 19\)

Explanation:

The range of the numbers is the difference between the largest and smallest numbers.

The largest number is:  \(\displaystyle -7\)

The smallest number is:  \(\displaystyle -26\)

Subtract the quantity of both numbers.

\(\displaystyle (-7)-(-26) = -7+26=19\)

The answer is:  \(\displaystyle 19\)

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