How to find median
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ACT Math › How to find median
Find the median of the given set of data:
{1,4,3,2,5,6,6}
6
4
3
1
2
Explanation
First you must order the elements from least to greatest. In order, the set is {1,2,3,4,5,6,6}. There are 7 terms in this set, so the median will be the 4th term of the set, which happens to be 4.
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?
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 
43, 83, 54, 35, 77, 
If the median of the set of numbers is 54 and the mean is 56, which of the following could be the values of 
Explanation
The median is the numerical value separating the higher half of the data sample from the lower half. Rearrange the data set by increasing value:
In order for 54 to remain the median, either:
1. One of the variables must be greater than 54 and the other must be less than 54.
or
2. Both variables muat be equal to 54.
This eliminates all answer choices except 41 and 59. The mean of the data set including these two values is 56.
Four items are purchased from an electronics store. The first item costs 
There is no median
Explanation
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:
In a row of 
There is no median.
Explanation
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:
The following are the points scored on a test by students in a class:
5,9,11,11,12,13,13,13,18,20
Which of the following numbers is the mode?
11
12
13
14
15
Explanation
13 is the correct answer because it occurs three times and occurs more than any other grade.
What is the median of the following list of 
Explanation
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
Find the median of the following set of numbers:
Explanation
To find median, simply find the middle number. Since there are two in the middle, find their average. Thus,
A group of ten students take a math test and their scores are as follows.
Based on this information, what is the median?
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.
Find the median of the following set of numbers:
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,
