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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #223 : Statistics And Probability

What is the median?

1, 3, 6, 8, 9, 17

Possible Answers:

6.5

8.5

Correct answer:

Explanation:

To find median, we count the numbers in the set. There are six. Since six is an even number, we go to the two middle numbers which are and . We average the two numbers to get .

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Example Question #24 : How To Find Median

What is the median?

-25, -14, -3, 1, 5, 6

Possible Answers:

Correct answer:

Explanation:

To find median, we count the numbers in the set. There are six. Since six is an even number, we go to the two middle numbers which are and . We average the two numbers to get .

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Example Question #31 : Basic Statistics

What is the median?

-9, -22, -14, -6, 9, 0

Possible Answers:

-7.5

Correct answer:

-7.5

Explanation:

To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get -22, -14, -9, -6, 0, 9 .Then, we count the numbers in the set. There are six. Since six is an even number, we go to the two middle numbers which are and . We average the two numbers to get -7.5 .

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Example Question #23 : How To Find Median

What is the median?

-2.4, -3.5, 6.8, 4.6, -98.3, -6.2, -2.4

Possible Answers:

5.8

4.6

-2.4

-98.3

5.7

Correct answer:

-2.4

Explanation:

To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get -98.3, -6.2, -3.5, -2.4, -2.4, 4.6, 6.8 .Then, we count the numbers in the set. There are seven. The middle number is -2.4 .

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Example Question #225 : Statistics And Probability

If the median must be a value below , what could be a possible value of ?

x, 4, 2, 8, 9

Possible Answers:

4.5

Correct answer:

4.5

Explanation:

To ensure the median is below , we need to arrange so that is the middle. So we have 2, 4, x, 8, 9 . The only value below is 4.5 .

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Example Question #26 : How To Find Median

If the median is between and inclusive, what value of can it NOT be?

-3, -5, -1, 4, 5, x

Possible Answers:

1.5

Correct answer:

Explanation:

To find median, let's arrange the numebers in increasing order so that we can get a median between and inclusive. We have -5, -3, -1, x, 4, 5 . This works best since when added to a value and averaged will fall in our target interval. The equation to find the median for an even set will be $\frac{-1+x}{2}=0$ or $\frac{-1+x}{2}=1$ . The reason for this is to find the minimum and maximum value of . For the first equation, we cross multiply and get -1+x=0 or x=1 . The second equation we get -1+x=2 or x=3 . The value that's not in this range is .

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Example Question #24 : How To Find Median

If the average of two numbers is , what is the median of the two numbers?

Possible Answers:

Impossible to tell

Correct answer:

Explanation:

When finding median of even numbers in the set, you take the average of the two middle numbers to find median. Since is an even number and we know the average, that value is the same as the median. Answer is .

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Example Question #232 : Statistics And Probability

What is the median price of the cars?

Possible Answers:

25000

17500

15000

20000

Correct answer:

20000

Explanation:

If we count the total number of cars, we get . The middle number is . When going in order from smallest to largest, number falls in the 20000 category so that's the answer.

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Example Question #31 : How To Find Median

What is the median if the letters are arranged in alphabetical order? Q10

Possible Answers:

$\frac{A+B}{2}$

Correct answer:

Explanation:

There are a total of letters. To find median, we know the middle number in the set is at . This means at the seventh position of letters in alphabetical order (A, B, C, D) , we have the letter .

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Example Question #31 : How To Find Median

What is the median?

1^4, 2^2, 3^0, 4^3, 5^2, 6^3

Possible Answers:

14.5

32.5

3.5

Correct answer:

14.5

Explanation:

To find the median, first solve the values of the exponents. We have 1, 4, 1, 64, 25, 216 . In increasing order, we get 1, 1, 4, 25, 64, 216 .

Since there are six numbers, we take the average of the third and fourth numbers which are and .

The average is $\frac{29}{2}$ or 14.5 .

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Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #223 : Statistics And Probability

Example Question #24 : How To Find Median

Example Question #31 : Basic Statistics

Example Question #23 : How To Find Median

Example Question #225 : Statistics And Probability

Example Question #26 : How To Find Median

Example Question #24 : How To Find Median

Example Question #232 : Statistics And Probability

Example Question #31 : How To Find Median

Example Question #31 : How To Find Median

All Algebra 1 Resources

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