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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.
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Measurement of qualitative variables using median?
The median shows where the 'middle' of your data is. For qualitative data, this only makes sense when the variable is ordinal. An ordinal variable is one whose values have a natural order, eg never/rarely/sometimes/often/always. If you have nominal data (qualitative data with no order) eg democratic/republican/other, you might find the mode (most common value) useful.
Since the median is the middle value of a data set it must always be?
Not an extreme value.
Does some quantitative data sets do not have a median?
No, they must have a median. However, if the data set is of even order, the median may not belong to the data set. For example, the median of 1,2,3,10 is halfway between 2 and 3 or 2.5 which is not a data point.
Which descriptive statistic always divides the data set such that 50 percent of the data values lie above it and 50 percent lie below it?
The median.
Should The mean or median be used in ordinal data?
The median is used when reporting ordinal data.
Will a set of data always have a median?
yes
Are the mean median and mode always numbers from a list of data?
the median and mode are but the mean is not
Measurement of qualitative variables using median?
The median shows where the 'middle' of your data is. For qualitative data, this only makes sense when the variable is ordinal. An ordinal variable is one whose values have a natural order, eg never/rarely/sometimes/often/always. If you have nominal data (qualitative data with no order) eg democratic/republican/other, you might find the mode (most common value) useful.
What are disadvantages of median?
not always accurate, depending on data
How does an outlier affect data?
it messes up the mean and sometimes the median. * * * * * An outlier cannot mess up the median.
Does the median have to be a number?
Yes, the median is always a number. For qualitative data, use the mode for a measure of center.
For a given data set the mean and median are always nearly equal?
No.
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.
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.
Since the median is the middle value of a data set it must always be?
Not an extreme value.
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 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.
