Algebra 1 : How to find median

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #11 : How To Find Median

A committee of 3 members is to be selected from amongst 5 contestants.  How many ways the committee can be selected assuming the order is not important?

Possible Answers:

Correct answer:

Explanation:

This is a combination problem where the order of selection is not important (e.g., ABC is same as ACB is same as CAB).  Hence we need to eliminate any duplication due to order of selection.

 

Example Question #1632 : Algebra 1

There are 5 men and 4 women running for the following positions:

 

President, Vice President, Secretary

We must select 1 man out of 5 and 2 women out of 4.

 

Hoe many ways the three positions can be filled?

Possible Answers:

Correct answer:

Explanation:

One man can be selected out of 5 is

and 2 women can be selected out of 4 women in

ways

Having selected 3 candidates, these candidates can be assigned the three positions in 3! ways giving us the correct answer which is

 

Example Question #2 : Median

We are given the following number set:

8, 6, 10, 15, 7, 15 ,5, 14, 9, 5, 19, 18, 9, 16, 9

Find the median.

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of an ordered number set. By ordered number set, I mean that the numbers are arranged from lowest to largest. In this problem, we can arrange the number set from lowest to largest so that it is rewritten as

5, 5, 6, 7, 8, 9, 9, 9, 10, 14, 15, 15, 16, 18, 19

It looks like the middle-most number is 9.  Therefore, 9 is the median.

Example Question #12 : How To Find Median

Find the median of the set .

Possible Answers:

36

33

32.44

32

Correct answer:

33

Explanation:

To find the median of the set, we put the numbers in ascending order and find the middle number.  Arranging the set in ascending order, we get .  Since the number of values is odd,  we simply take the middle number, 33. 

Example Question #6 : Median

Find the median of the set .

Possible Answers:

Correct answer:

Explanation:

The median of a set of numbers is simply the middle number in the ordered set. To find it, we can first put the set in order from least to greatest (greatest to least works just as well). The set can now be read as

Now, it is clear that the median number is 46. Don't confuse median and mean! The mean, or average value, is the result of the sum of all the values divided by the number of terms in the set.

Example Question #1 : Median

Find the median of the following numbers:

11, 13, 16, 13, 14, 19, 13, 13

Possible Answers:

None of the other answers are correct.

Correct answer:

Explanation:

Reorder the numbers in ascending order (from lowest to highest):

11, 13, 13, 13, 13, 14, 16, 19

Find the middle number. In this case, the middle number is the average of the 4th and 5th numbers. Because both the 4th and 5th number are 13, the answer is simply 13.

Example Question #2 : Median

Find the median of this number set:  2, 15, 4, 3, 6, 11, 8, 9, 4, 16, 13

Possible Answers:

Correct answer:

Explanation:

List the numbers in ascending order: 2,3,4,4,6,8,9,11,13,15,16

The median is the middle number, or 8.

Example Question #13 : Median

A student has taken five algebra tests already this year. Her scores were , , , , and . What is the median of those values?

Possible Answers:

Correct answer:

Explanation:

To find the median of a set of values, simply place the numbers in order and find the value that is exactly "in the middle." Here, we can place the test scores in ascending order to get , , , , . (Descending order would work just as well.) The median is the middle value, . Make sure you don't confuse median with mean (average)! To get the mean value of this set, you would find the sum of the test scores and then divide by the number of values.

Example Question #4 : Median

What is the median of the following numbers?

12,15,93,32,108,22,16,21

Possible Answers:

Correct answer:

Explanation:

To find the median, first you arrange the numbers in order from least to greatest.

Then you count how many numbers you have and divide that number by two. In this case 12,15,16,21,22,32,93,108= 8 numbers.

So 

Then starting from the least side of the numbers count 4 numbers till you reach the median number of 

Then starting from the greatest side count 4 numbers until you reach the other median number of 

Finally find the mean of the two numbers by adding them together and dividing them by two 

to find the median number of .

Example Question #15 : How To Find Median

In the following set, what is the median? 

Possible Answers:

Correct answer:

Explanation:

The median is the middle number if there is an odd amount of numbers in the set.

For an even amount of numbers in the set, the median is the mean of the 2 middle numbers after the set is rearranged in order.

The set is already given in order as is.

The two middle numbers are 7 and 9.  Find the mean of these two numbers to get the median of this set.

The median of this set is .

 

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