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No. Very often the mean will not be part of the data set.

In most countries, the average number of children per family is some fractional number. For example, in 2006, the mean number of children in a UK family was 1.8. However, I have yet to come across 0.8 of a child!

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Q: Will the mean always be in the data set?
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Is it true that in large data sets the mean is always one of the data values?

No. Here's one set of data where the mean is not one of the values: a set of 250,000 numbers. 125,000 of them are "1", 125,000 are "3". The mean of this data set is "2", which is not among the data.


How mean of a data set is always one of the data points in a set of data. Explain?

The mean of a set of data is the sum of all those data values, divided by the numbers of values in the set. For instance, if we had 1, 3 and 5, the mean would be (1+3+5)/3 = 3. The mean doesn't always have to be one of the data points in the set. For instance, if we had the data 1, 6, 7, 7, 8. The mean would be (1+6+7+7+8)/5 = 5.8, even though 5.8 isn't one of the values in the set.


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

No.


Which measure of central tendency is always part of any data set?

mean


What is the mean absoulute deviation of the data set 1247262538453535413932251830?

The mean absolute deviation for one number is always zero.


Is the mean for a set of data always greater than the standard deviation?

Yes; the standard deviation is the square root of the mean, so it will always be larger.


Which measures of central location always have only one value for a set of grouped or ungrouped data?

Mean and median are the measures of central location that always have one value. This is true for a set of grouped or ungrouped data.


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.


Why will a set of data not always have a mode?

A set of data will not always have a mode because some data sets will not have a number that occurs more than once.


What is another word for the mean in a set of data?

The mean of a set of data is also known is the average.


Will a set of data always have a median?

yes


Will a set of data always have a mode in math?

No.