Algebra 1 : How to find median

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #41 : How To Find Median

What's the median?

Possible Answers:

Correct answer:

Explanation:

Median is the middle number in an increasing set. In the set, the numbers are arranged in increasing order.

There are five numbers, so the middle is the third number which is 

Example Question #42 : How To Find Median

Whats the median?

Possible Answers:

Correct answer:

Explanation:

Median is the middle number in an increasing set. In the set, the numbers are arranged in increasing order.

There are seven numbers, so the middle is the fourth number which is 

Example Question #43 : How To Find Median

What's the median?

Possible Answers:

Correct answer:

Explanation:

Median is the middle number in an increasing set. In the set, the numbers are arranged in increasing order.

There are six numbers, so the middle is the third and the fourth number.

In this case, we take the average of the two numbers and we get

 

Example Question #44 : How To Find Median

What's the median?

Possible Answers:

Correct answer:

Explanation:

Median is the middle number in an increasing set. In the set, the numbers are arranged in increasing order.

There are six numbers, so the middle is the third and the fourth number.

In this case, we take the average of the two numbers and we get 

Example Question #1673 : Algebra 1

What's the median?

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

There are six numbers, so the middle is the third and the fourth number.

In this case, we take the average of the two numbers and we get 

Example Question #1674 : Algebra 1

What's the median?

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 .

Remember when ordering negative number, the bigger the negative, the smaller the number it is. 

There are six numbers, so the middle is the third and the fourth number.

In this case, we take the average of the two numbers and we get 

Example Question #245 : Statistics And Probability

What's  if the median is ?

Possible Answers:

Correct answer:

Explanation:

Let's arrange this in increasing order. We have . Since we want a median of , we can insert  between . The reason is if we put  between any others, the maximum value of  will either be less than  on the left or greater than  on the right. We need to average those two values since we have an even amount of numbers in the set. So the middle numbers in the set is . Let's take the average and set it equal 

 Cross multiply.

 Subtract both sides by .

Example Question #12 : Median

The median is often useful to find for data sets where outliers distort the mean and make analysis difficult.

Find the median of the data set:

 

Possible Answers:

Correct answer:

Explanation:

To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:

 

 

 

To find the middle number, take the total  or number of values (not the values themselves), add 1, then divide by 2 to find the place of the median value. Since there are 13 numbers in this data set,  is 13:

 

Thus, our 7th number, or 9, is the median.

Example Question #12 : Median

The median is often useful to find for data sets where outliers distort the mean and make analysis difficult.

What is the median of the data set?

Possible Answers:

None of these

Correct answer:

Explanation:

To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:

  

The median value is found by adding 1 to our , then dividing by 2 to find the place for our median:

Thus, halfway between our 5th and 6th value lies the median. These values are 18 and 19, so:

Thus, 18.5 is our median.

Example Question #35 : Basic Statistics

Using the data above, find the median. 

Possible Answers:

Correct answer:

Explanation:

The median is defined as the piece of data that is directly at the center of the data set given.

To find the median, the data first must be placed in numerical order: 

.

Since there is and odd number of data pieces, , we simply subtract , and divide the result in half. In this case, , half of  is . Therefore, there must be  pieces of data on either side of the number that is the median. The only number in this set of data that, if chosen, has three data pieces on either side is  To the left of  is . To the right of  is . Thus  is our median. 

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