GED Math - Other Data Calculations

In 2014 a professional sport drafted players out of college. About players were eligible for the draft. What percentage of eligible players were drafted?

Explanation

To find the percentage of eligible players that were drafted we need to create a proportion.

$\frac{drafted}{eligible}=\frac{x}{100}$

$\frac{60}{1200}=\frac{x}{100}$

Now we need to cross multiply and divide to solve the problem.

$\frac{60\cdot 100}{1200}=\frac{6000}{1200}=\frac{60}{12}=5%$

Country A has the largest population on Earth, with billion people. Country B is next with billion people. How many more people does Country A have than Country B?

Explanation

To find how many more people Country A has than B we need to subtract the number of people in Country B from that in Country A.

$1.3 \text{ billion}-1 \text{ billion}=0.3\text{ billion}$

From here we will convert the units from billion to million.

0.3 billion is equivalent to 300,000,000

A Science class took an exam. Here are the scores of 9 students:

Find the range.

Explanation

To find the range of a data set, we will find the smallest and the largest number. Then, we will find the difference of those two numbers.

So, given the set

we can see the smallest number is 76 and the largest number is 93. Now, we will find the difference. We get

Therefore, the range of the data set is 17.

Determine the range, if possible: $[-\frac{1}{2}, -\frac{1}{3}, \frac{1}{2}, \frac{1}{4},1]$

$\frac{3}{2}$

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{11}{12}$

$\textup{The range cannot be determined.}$

Explanation

The range is the difference between largest and smallest numbers.

The largest number is . The smallest number is $-\frac{1}{2}$ .

Subtract the quantities.

$1-(-\frac{1}{2}) = 1\frac{1}{2} = \frac{3}{2}$

The answer is: $\frac{3}{2}$

In 2000 Richard bought a condo for . Ten years later he sold it for . How much did the condo appreciate (grow in value) per year on average (in dollars)?

Explanation

To find the amount of growth the condo had per year we first need to find the amount of growht it had total. To find this we subtract the amount he paid from the amount he sold.

The condo grew in value.

Over 10 years that is $\frac{$200,000}{10}=$ 20,000$ per year.

Use the following data set to answer the question:

Find the range.

Explanation

To find the range of a data set, we will first find the smallest and the largest number within the set. Then, we will find the difference of those two numbers.

So, given the set

we can see the smallest number is 1 and the largest number is 10. So, we will find the difference. We get

Therefore, the range of the data set is 9.

For a formal dinner that he is planning, James needs to choose among different appetizers, main courses, and desserts. If the dinner has to have of each, how many possible combinations can James choose?

Explanation

In order to find the total number of possibilities, we will need to multiply the number of choices together. Since we have appetizers, main courses, and desserts, we can write the following to find the number of total possibilities:

$\text{Total possibilities}=3 \times 4\times 3 = 36$

There are total possibilities for the three-course dinner.

Use the following data set of test scores to answer the question:

Find the range.

Explanation

To find the range of a data set, we will find the smallest and largest number within the set. Then, we will find the difference of those two numbers.

So, given the set

we can see the smallest number is 78 and the largest number is 95. Now, we will find the difference.

Therefore, the range of the data set of test scores is 17.

Determine the range of the following numbers: $[-\frac{3}{5},-1,-2, \frac{1}{2},\frac{1}{5}]$

$\frac{5}{2}$

$\frac{3}{2}$

$\frac{29}{50}$

$\frac{3}{5}$

$\textup{The range cannot be determined.}$

Explanation

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

The highest number is $\frac{1}{2}$ .

The lowest number is:

Subtract the numbers.

$\frac{1}{2}-(-2) = \frac{1}{2}+2 = 2\frac{1}{2} = \frac{5}{2}$

The answer is: $\frac{5}{2}$

Use the following data set to answer the question:

Find the range.

Explanation

To find the range of a data set, we will first find the smallest and the largest number within the set. Then, we will find the difference of those two numbers.

So, given the set

we can see the smallest number is 1 and the largest number is 8. Now, we will find the difference. We get

Therefore, the range of the data set is 7.

Other Data Calculations

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