Algebra 1 : How to find median

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #141 : How To Find Median

Find the median of the following set:

Possible Answers:

Correct answer:

Explanation:

To find the median of any set, arrange the set in order from lowest to highest, and then find the number in the middle.  

 

The set is already in order and has an odd number of entries therefore the median will lie at the middle entry.

Thus the median is .

 

 

Example Question #141 : How To Find Median

Find the median of the following numbers:

{1, 9, 3, 14, 15, 13, 2, 7, 8, 4, 5}

Possible Answers:

Correct answer:

Explanation:

Start by putting the numbers in ascending order:

{1, 2, 3, 4, 5, 7, 8, 9, 13, 14, 15}

Once you do that you make your way to the middle number (as that is what the median is) which you find to be .

Example Question #142 : How To Find Median

Find the median:  

Possible Answers:

Correct answer:

Explanation:

Rearrange the numbers from least to greatest.

The median is the central number of an odd dataset.

The answer is .

Example Question #144 : How To Find Median

Find the median of first hundred positive integers (i.e through ).

Possible Answers:

Correct answer:

Explanation:

This is an even data set and therefore doesn't have any single middle value that separates the data set into two equal smaller sets. Rather, it has two middle values,  and . Hence the median is the average of these two numbers. So,

Example Question #145 : How To Find Median

A test was given to a class of students. Three students scored , two scored , one scored , two scored and two scored . What was the median score of the class? 

Possible Answers:

Correct answer:

Explanation:

The median is the middle value of the set when arranged in an ascending or descending order.

First we arrange the set of score-

.

Since this set has an even number of terms, there is no single middle term but two middle terms  and .

So we take the average of the two middle terms  which comes out to be .

Example Question #145 : How To Find Median

A test was given to a class of  students. Three students scored , two scored , one scored , two scored , one scored and two scored . What was the median score of the class? 

Possible Answers:

Correct answer:

Explanation:

The median is the middle value of the set when arranged in an ascending ot descending order.

First we arrange the set of score-

.

Since this set has an odd number of terms, there is a single middle term- the  term in this case which is .

Hence is the median. 

Example Question #143 : How To Find Median

What is the median of the dataset?  

Possible Answers:

Correct answer:

Explanation:

Reorder the numbers so that they are all in chronological order.

Since there is an even amount of numbers in the set, the median is the average of the two center numbers, negative two and eight.

Find the average of these two numbers.

The median is .

Example Question #146 : How To Find Median

What is the median? 

Possible Answers:

Correct answer:

Explanation:

The median is the central number of a chronological ordered set of numbers.

Rewrite the fractions with a least common denominator.

The median is the third largest number.

The answer is:

Example Question #145 : How To Find Median

What is the median of the dataset:  

Possible Answers:

Correct answer:

Explanation:

Reorder the dataset in chronological order.  Approximate each irrational number to 2 decimal places.

The least to greatest order is:  

Since there are 4 numbers in the set, the median is the average of the center 2 numbers in the set.

The answer is:  

Example Question #147 : How To Find Median

Find the median:  

Possible Answers:

Correct answer:

Explanation:

The median of an even set of data is the average of the two central numbers in a chronological ordered set of numbers.

Organize the numbers from least to greatest.

Average the two center numbers.

Add the numerator.

Rewrite the complex fraction using a division sign.   Use the multiplication property and take the reciprocal of the second term.  Multiply the numerator with numerator and denominator with the denominator.

The answer is:  

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