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The median is the middle number of a set. If the amount of numbers is even and the two middle numbers are not the same, then the value half way between them is the median. It is also the value when you add those two numbers and divide by 2. So if your two middle numbers were 7 and 5, the number halfway between them is 6, as is the number when you add 7 and 5 and divide by 2.

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Q: Why is the median not always in the data set?
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Related questions

Will a set of data always have a median?

yes


For a given data set the mean and median are always nearly equal?

No.


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


Is median always part of the data set?

yes* * * * *No. If you have a small, even number of observations, the median is the average of the two middle values. This will usually NOT be part of the data set.


Is median always sometimes or never in a data set?

If the sample has an odd number of items in it then the median will definitely be in the sample at least once because the median is value of the set of data items whose value(s) are in the middle of the sample when the sample is sorted from smallest to largest. If the sample has an even number of items in it then if the middle items are different the median will be their average, and it will differ from all of the items in the data set. I could continue in this vein but already you can see that the median sometimes occurs in a data set but not always.


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.


Since the median is the middle value of a data set it must always be?

Not an extreme value.


Are median and mean always similar?

No, not always. Median is the number that's in the middle of a group of numerical data. Mean is just the average of a set of numbers, which isn't always in the middle.


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.


What divides a set of data in half?

Median


Which is the middle number in a set of data?

Median .


What does the median tell you about the distribution of a set of data?

the midpoint of the data set