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Algebra 1 : Statistics and Probability

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Example Questions

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 #231 : Statistics And Probability

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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Example Question #31 : How To Find Median

Find the median of this set of numbers.

143, 235, 346, 243, 724, 134, 745, 243, 823

Possible Answers:

404

324

243

346

Correct answer:

243

Explanation:

Rearrange the numbers into increasing order.

$134, 143, 235, 243, {\color{Red} 243}, 346, 724, 745, 823$

The number in the center of the set is the median: 243

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Example Question #32 : How To Find Median

What is the median of 2, 6, 10, 2, 5, 4, 1, 6 ?

Possible Answers:

3.5

4.5

Correct answer:

4.5

Explanation:

The median is the number in the exact middle of a series. This is different from the mean because you do not divide by the total number of elements in the sereis. To start, you have to put the numbers in order from smallest to largest. Since the series is not an odd number, you have to take the average of the two middle numbers to find the median.

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Example Question #33 : How To Find Median

What's the median?

76, 23, 89, 129, 54

Possible Answers:

129

Correct answer:

Explanation:

Median is the middle number in an increasing set. In the set, the numbers are not arranged in increasing order. The correct order is 23, 54, 76, 89, 129 . There are five numbers, so the middle is the third number which is .

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Example Question #36 : How To Find Median

What's the median?

-9, -4, -12, -35, -78, -1, -3

Possible Answers:

Correct answer:

Explanation:

Median is the middle number in an increasing set. In the set, the numbers are not arranged in increasing order. The order is -78, -35, -12, -9, -4, -3, -1 . Remember when ordering negative number, the bigger the negative, the smaller the number it is. There are seven numbers, so the middle is the fourth number which is .

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Example Question #37 : How To Find Median

What is if we want the median to be ?

3, 5, x, 8, 10

Possible Answers:

7.5

6.5

5.5

Correct answer:

Explanation:

Since they are already arranged in increasing order, we just need to find the value to make the median . There is an odd number so the middle number is indeed . We can just say x=6 which fits the question's description.

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Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #26 : How To Find Median

Example Question #231 : Statistics And Probability

Example Question #232 : Statistics And Probability

Example Question #31 : How To Find Median

Example Question #31 : How To Find Median

Example Question #31 : How To Find Median

Example Question #32 : How To Find Median

Example Question #33 : How To Find Median

Example Question #36 : How To Find Median

Example Question #37 : How To Find Median

All Algebra 1 Resources

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