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Why the median of a set of data does not have to be one of the numbers in the set of data?
Wiki User
∙ 14y ago
Because, if there is an even number of results in the set of data, the mean must be calculated by finding the half-way point between the two central numbers.
Wiki User
∙ 14y ago
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How Can You Create A Data set With an Median and mean?
a data set in this case can be any collection of numbers you choose. Say we define Set A = {1,2,3,4,5} The Median for Set A is 3. The mean is the sum of the numbers divided by 5 in this case. 15/5 = 3 is the mean of Set A.
What is the middle number in set of data?
The median. If there are an odd number of elements in the set, there is a middle number which is the median. If there are an even number of elements in the set, the median is the mean of the middle two numbers.
What are the set of numbers in which 8 is the mean median and mode?
One set of numbers for which this is true is {8}.
Multiple values for the same set of numbers mean median or mode?
Any set of numbers can have only one mean and only one median but it can have as many modes as it has values.
What does the median of a set of data tell you?
The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.
Is it true that the median is always one of the data points in a set of data?
No, it is not necessarily true that the median is always one of the data points in a set of data. The median is found by arranging the data in numerical order and selecting the middle value. This value might be one of the data points, but it could also be the average of two data points if there is an even number of values in the set.
If you have more than one median what do you do?
If you have an even set of data then there are two middle numbers or medians. Average those two and create a median. Example: 2,3,4,7,9,10 4 and 7 are in the middle. (4+7)/2=5.5 5.5 is the median even though it is not one of the numbers in the data set.
What if the data set was even and the numbers were the same for the median?
You then add the two middle ones and divide by two to get the median. If the numbers are the same then that is your median.
What is median mean?
mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group.Example of Median-1,3,5,7,9,4,5 (put them in order and list them from least to greatest)1,3,4,5,5,7,9the median is 5!
What is mean and median?
mean~ all the numbers in the data added together divided by the number of data. The mean is the same as the average. median~ the exact middle of the set of data. Example: 1,1,2,2, the median is 1.5 mean- the average median- the middle number in a set of numbers in a group.Example of Median-1,3,5,7,9,4,5 (put them in order and list them from least to greatest)1,3,4,5,5,7,9the median is 5!
How do you find the median of a set of odd numbers?
It would be the middle number of a set of numbers or data in numerical order
Can the median of a set of numbers ever be the greatest number in a set of data?
Yes. It depends on how many numbers of that there are. Such as 7,10,10,10.
If there are 10 values in a data set in order from smallest to largest what is the median of the data set?
If the set of numbers has an even size, as in this case, the median is the average of the two numbers closest to the middle.
How can you find the median of the data without listing the values?
The median of a data set is the number that is literally in the middle. For example: The median of the number set 1,1,3,4,7, is 3 because it is in the physical middle of the set of numbers. Note: To find a median, the numbers MUST be in written in order the median of 2,6,3, is not 6. You must rearrange them like: 2,3,6 and we can see 3 is the median
What does mean median mode means?
Mean is an average of a list of numbers. Median is the middle of a list of numbers. Mode is the most common number in a list of numbers. Ex. 14 17 23 48 54, the Median would be 23, the mean would be 31.2, and the mode would be undefined. The mean, median, and mode are all measures of center for a data set. A measure of center is one way to get a single result that represents all of your data for a definitive answer to a math or science question. Mode is the number that shows up most in the data set. Mean (also known as average) is found after all the numbers in a data set are added together, and that sum is divided by how many numbers in the data set there are. Median is the number in the exact middle of the data set once the data set is put in the order of least to greatest value. If the number of numbers in the data set is even, and there are two medians, then you would find the mean of the median to get your true median. Here is an example. data set: 0,0,3, 4, 5,5,5, 66, 78, 80, 90, 99,99,99,99, 106 mode:99 median: 72 mean:48
What is median in the set of data?
The median in a set of data, would be the middle item of the data string... such as: 1,2,3,4,5,6,7 the Median of this set of data would be: 4
The middle number or the mean of the two middle numbers in an ordered set of data?
That is the Median of the numbers.
