ACT Math : Statistics
Study concepts, example questions & explanations for ACT Math
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Example Questions
Example Question #1 : How To Find Median
67, 73, 85, 83, 80, 73, 94, 65, 80, 73, 98, 59, 76
The list above shows a ninth grader's grades for the academic year. What is the difference between the median and the mode of these grades?
To find the median, sort the numbers from smallest to largest:
59, 65, 67, 73, 73, 73, 76, 80, 80, 83, 85, 94, 98
The median is the middle value in a list of numbers, it is the number separating the higher half of a data sample or a list of numbers from the lower half.
The median of the grades is 76.
The mode is the value occurring most often. The most occurring value in the list of numbers given is 73. So, the mode is 73.
Example Question #1 : How To Find Median
In a row of 
There is no median.
To begin, think through the scenario of your line, it is made up of ten students as thus:
Since there is an even number of students, your median will be the average of the amounts given to students 
Now, your students received chocolates like this:
Thus, you know that the median must be:
Example Question #2796 : Act Math
Four items are purchased from an electronics store. The first item costs 
There is no median
To start, you should list out the prices of your items:
Now, recall that the median of a group of numbers is the middle value. For four numbers, there is (strictly speaking) no middle. Therefore, you need to add together the values in the second and third place and find their average. This is:
Example Question #1 : How To Find Median
What is the median of the following list of 
The median is the number in the middle. So order the numbers and find the one in the middle of that list:
61,72,81,84,98 and clearly 81 is the middle
Example Question #2798 : Act Math
A group of ten students take a math test and their scores are as follows.
Based on this information, what is the median?
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 #2799 : 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?
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 #2800 : Act Math
What is the median of the following list of numbers?
There is no median.
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 #71 : Statistics
Find the median of the following set of numbers.
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 #72 : Statistics
Find the median of the following set of numbers:
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 #73 : Statistics
Find the median of the following set of numbers:
To find median, simply find the middle number. Since there are two in the middle, find their average. Thus,
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