Algebra 1 : How to find median

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #1 : How To Find Median

What is the median of the following numbers:

0, 1, one-fourth, twenty five percent, , 16, 25

Possible Answers:

twenty five percent

Correct answer:

Explanation:

0, 1, one fourth, twenty five percent, , 16, 25

First we will list the numbers from least to greatest:

0, one fourth, twenty five percent, , 1, 16, 25

 The median is the middle number, or , which can also be expressed as

Example Question #2 : How To Find Median

 

 

Possible Answers:

Correct answer:

Explanation:

Example Question #3 : How To Find Median

Consider the following set of numbers: 2,5,9,15,21,27,29,32,40.

Which of the following is the median for these numbers?

Possible Answers:

Correct answer:

Explanation:

The median, by definition, is the middle number in a set of numbers which, in this case, is 21.  The mean is the average of the set of numbers, which is 20 for this set.

Example Question #4 : How To Find Median

What is the median of the following set, in terms of ?

Possible Answers:

It cannot be determined without knowing the value of .

Correct answer:

Explanation:

Regardless of the value of , these elements are in ascending order. There are five elements, so the third-highest element is the median, as there will be two elements greater than this one and two elements less than this one. This number is .

Example Question #5 : How To Find Median

There are 7 people waiting in line for tacos at the food court. 4 of them are your classmates, aged 14, 16, 17, and 16. If all 7 people were to line up by age, what is the youngest that the person in the middle could be?

Possible Answers:

Not enough information to answer the question

Correct answer:

Explanation:

The problem is asking for the median of the ages. The answer is easiest to see if you look at the extreme case of all the unkown people being younger than the known people. If the 3 unknown people were 10 years old, the line would be 10, 10, 10, 14, 16, 16, 17, making 14 the median. With 4 people older than 14, there is no way to have a median below 14.

Example Question #6 : How To Find Median

What is the median of all of the natural numbers from 1 to 99?

Possible Answers:

Correct answer:

Explanation:

The median of 99 natural numbers is the number that falls in the  place when ordered. Among the first 99 natural numbers, this is 50.

Example Question #5 : How To Find Median

Determine the median, from the set of numbers: 

Possible Answers:

Correct answer:

Explanation:

First put your set in numerical order, from smallest to largest

Median refers to the number in the middle, so if you count in from both sides the middle number of the set is 

Example Question #6 : How To Find Median

A short quiz with 5 questions is given to a class of 30 students. 7 students answered 5 questions correctly, 12 students answered 4 questions correctly, 9 students answered 3 questions correctly, and 2 students answered 2 questions correctly.

What is the median number of questions answered correctly by the students of this class?

Possible Answers:

Correct answer:

Explanation:

The median score will be located in the middle of the class's scores when arranged from lowest to highest or highest to lowest. Because there are 30 students in the class, the median score is the average of the 15th and 16th score. In this case, the 15th and 16th highest score is 4, which means that its median must be 4.

Example Question #9 : How To Find Median

For one algebra class, the scores on last week's exam were 93, 62, 79, 85, 58, and 85. Which statement about this set of values is false?

Possible Answers:

The mean of this set is .

The range of this set is .

The mode of this set is .

The median of this set is .

Correct answer:

The range of this set is .

Explanation:

The simplest of these statistical measurements is the mode, which refers to the most common value in the set. Here, all of the values are present once except for 85, which is present twice, making it our mode. The corresponding answer choice is true and is not our solution.

Next, we find the mean by adding the values and dividing by 6. The mean is indeed 77.

Let's look at the median. The two middle values of the set are 85 and 79, so the median falls directly between them, at 82.

Finally, the range is the difference between the highest value and the lowest. , so the answer choice stating that the range is 31 is our false answer.

Example Question #10 : How To Find Median

Find the median of the following set of numbers: 3, 5, 18, 6, 3. 

Possible Answers:

Correct answer:

Explanation:

The median of a set of numbers is the number that falls in the middle when the numbers are arranged from smallest to largest: 3, 3, 5, 6, 18.  The number that falls exactly in the middle of this set is 5, which is the median. 

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