Basic Math › Median
A P.E. class took the height of every student in inches. These were the results:
Find the median of the class's data set.
Median means the middle of a sorted set of numbers. That is, it is the exact middle of a set of numbers.
In order to solve for median, we must allign the numbers in order in increasing value.
This number set will become:
As you cross out one number from each side, you will eventually be left with the remaining number if there is an odd number of numbers. If there is an even number of numbers, the median will be the average of the last two remaining numbers.
Because we're left with two numbers, we must take their mean (average) to solve for the median of the data set.
Using the data above, find the median.
The median is the numer that, when put in numerical order, appears in the direct center of the group.
To find this value, we must first put the numbers in numerical order:
.
In this set of data we have seven pieces of data, we subtract one, then divide the result in half,
.
This means that there must be three numbers on either side of the median.
To satisfy this requirement, our median must be .
What is the median of the following numbers?
12,15,93,32,108,22,16,21
To find the median, first you arrange the numbers in order from least to greatest.
Then you count how many numbers you have and divide that number by two. In this case 12,15,16,21,22,32,93,108= 8 numbers.
So
Then starting from the least side of the numbers count 4 numbers till you reach the median number of
Then starting from the greatest side count 4 numbers until you reach the other median number of
Finally find the mean of the two numbers by adding them together and dividing them by two
to find the median number of .
The median is often useful to find for data sets where outliers distort the mean and make analysis difficult.
Find the median of the data set:
To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:
To find the middle number, take the total or number of values (not the values themselves), add 1, then divide by 2 to find the place of the median value. Since there are 13 numbers in this data set,
is 13:
Thus, our 7th number, or 9, is the median.
Joanna had 6 history tests this semester. Her scores on the tests were .
What was her median score?
To find the median, first put all the numbers in numerical order.
The median is our middle number. Because this set has 6 numbers, our median will fall in between 88 and 92. Average those two numbers to find the median.
Find the median of the set .
The median of a set of numbers is simply the middle number in the ordered set. To find it, we can first put the set in order from least to greatest (greatest to least works just as well). The set can now be read as
Now, it is clear that the median number is 46. Don't confuse median and mean! The mean, or average value, is the result of the sum of all the values divided by the number of terms in the set.
What is the median?
To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get .Then, we count the numbers in the set. There are six. Since six is an even number, we go to the two middle numbers which are
and
. We average the two numbers to get
.
Determine the median, from the set of numbers:
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
The median is often useful to find for data sets where outliers distort the mean and make analysis difficult.
What is the median of the data set?
None of these
To find the median, the first step is always to order the data set from least to greatest, as terms like median and range always refer to the ordered set:
The median value is found by adding 1 to our , then dividing by 2 to find the place for our median:
Thus, halfway between our 5th and 6th value lies the median. These values are 18 and 19, so:
Thus, 18.5 is our median.
What is the median?
To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get .Then, we count the numbers in the set. There are seven. The middle number is
.