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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!

Q: Will the mean always be in the data set?

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No.

mean

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

No.

The mean of a set of data is the sum of that data divided by the number of items of data.

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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.

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.

No.

mean

The mean absolute deviation for one number is always zero.

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

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.

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.

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

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

yes

No.