ACT Math : How to find median

Study concepts, example questions & explanations for ACT Math

varsity tutors app store varsity tutors android store varsity tutors ibooks store

Example Questions

Example Question #72 : Statistics

A group of ten students take a math test and their scores are as follows.

.

Based on this information, what is the median?

Possible Answers:

Correct answer:

Explanation:

The median is the middle number of a group of data. To find the median it is easiest to put all of the data in increasing order and eliminate the highest and lowest value until you are left with a single number. Since there are an even number of data you normally average the final two values, but since they are the same in this case that value is the answer.

 

Example Question #2791 : Act Math

The following is the list of five point totals for James in his last five basketball games:

.

What is the median points scored over those five games?

Possible Answers:

Correct answer:

Explanation:

To find the median of an odd number of data points, arrange the numbers in ascending order and choose the number in the middle.


Thus we see the answer is .

Example Question #91 : Data Analysis

What is the median of the following list of numbers?

Possible Answers:

There is no median.

Correct answer:

Explanation:

To find the median of a data set, line up all the numbers and find the number in the middle. If two numbers are in the middle (only true of even-numbered data sets) then take the average of the middle two.

Since our data set has an odd number of numbers, the median is 12.

Example Question #11 : Median

Find the median of the following set of numbers.

Possible Answers:

Correct answer:

Explanation:

To find the median, simply sort the numbers from smallest to largest and then find the number in the middle. Since these are already sorted, the answer is .

Example Question #12 : Median

Find the median of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To find the median, simply find the middle number.

Since there are an even number of values, you will have to take and average of the two middle numbers.

Thus,

Example Question #13 : Median

Find the median of the following set of numbers:

Possible Answers:

Correct answer:

Explanation:

To find median, simply find the middle number. Since there are two in the middle, find their average. Thus,

Learning Tools by Varsity Tutors