Median - ACT Math
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Refer to the chart above. What is the Median of Exam 1?
Refer to the chart above. What is the Median of Exam 1?
To find the median, one must arrange all the heights from the lowest to the highest value and then pick the middle value.
All Values: 82 72 75 96 85 77 79 84 98
In Order: 72 75 77 79 82 84 85 96 98
Median: 82
To find the median, one must arrange all the heights from the lowest to the highest value and then pick the middle value.
All Values: 82 72 75 96 85 77 79 84 98
In Order: 72 75 77 79 82 84 85 96 98
Median: 82
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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?
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?
13 is the correct answer because it occurs three times and occurs more than any other grade.
13 is the correct answer because it occurs three times and occurs more than any other grade.
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Find the median of the given set of data:
{1,4,3,2,5,6,6}
Find the median of the given set of data:
{1,4,3,2,5,6,6}
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.
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.
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Find the median of this set of data:
{1, 2, 3, 4, 5, 6}
Find the median of this set of data:
{1, 2, 3, 4, 5, 6}
When given an odd number of terms in a set, the middle term is the median.
However, if the number of terms is even, there are 2 middle terms, so the median is the average of the 2 middle terms. (3 + 4)/2 = 3.5
When given an odd number of terms in a set, the middle term is the median.
However, if the number of terms is even, there are 2 middle terms, so the median is the average of the 2 middle terms. (3 + 4)/2 = 3.5
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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 
and 
?
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
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.
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.
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Find the median of the following set of numbers:
Find the median of the following set of numbers:
Find the median of the following set of numbers:
The median is the middle number in a group of numbers listed in order. To find the median, start by listing the numbers in increasing order:
Then find the middle number. In this case, there are two "middle numbers," 
and 
, so the next step is to average them.
Therefore, the median is 
.
Find the median of the following set of numbers:
The median is the middle number in a group of numbers listed in order. To find the median, start by listing the numbers in increasing order:
Then find the middle number. In this case, there are two "middle numbers,"
Therefore, the median is
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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?
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.
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.
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Four items are purchased from an electronics store. The first item costs 
and each successive item costs twice that of the previous one. What is the median cost of these four items?
Four items are purchased from an electronics store. The first item costs
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:
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:
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In a row of 
students, each student receives a number of chocolates equal his or her position in the line, multiplied by 
. What is the median amount of chocolates received by this group?
In a row of
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 
and 
.
Now, your students received chocolates like this:
Thus, you know that the median must be:
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:
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What is the median of the following list of 
test scores:
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
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
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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?
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 
.
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
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A group of ten students take a math test and their scores are as follows.
.
Based on this information, what is the median?
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.
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.
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What is the median of the following list of numbers?
What is the median of the following list of numbers?
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.
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.
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Find the median of the following set of numbers.
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 
.
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
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Find the median of the following set of numbers:
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,
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,
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Find the median of the following set of numbers:
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,
To find median, simply find the middle number. Since there are two in the middle, find their average. Thus,
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