No.
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.
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.
Median
the midpoint of the data set
yes
No.
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
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.
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.
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.
Not an extreme value.
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.
The median is the midpoint of the data set. So half the observations are greater than the median and half are smaller.
Median
Median .
the midpoint of the data set