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It is not always true that if the mean of a set of data is greater than the mode, the mean will consistently be greater than the mode across all data sets. While in some distributions, particularly those that are positively skewed, the mean can be greater than the mode, this relationship can vary based on the distribution's characteristics. For example, in a symmetric distribution, the mean and mode can be equal. Thus, the statement can be true in certain cases but not universally applicable.

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5d ago

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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 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.


Can the mean be greater than the greatest value in the data set?

No, the mean cannot be greater than the greatest value in a data set. The mean is calculated by summing all the values and dividing by the number of values, which means it will always fall within the range of the data set. Therefore, the mean will always be less than or equal to the maximum value.


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.


Do bar graphs represent data?

sometimes they can

Related Questions

Is data always numbers?

data are not alway numbers sometimes it have letters in it.


Will a set of data always have a mode?

No, because sometimes sets of data can have different numbers and other sets of data can have modes in them.


What is a group of values in a data set is sometimes called a?

a data set with two modes in is sometimes called "bimodal." Multi-modal, always reflects the contributions of each of the data values in the group!


When does a client always remains the client and never becomes the server?

data


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.


What does the analysis of data lead to?

It leads to the result.AnswerNot always. Sometimes it leads you to confusion.


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.


Can the mean be greater than the greatest value in the data set?

No, the mean cannot be greater than the greatest value in a data set. The mean is calculated by summing all the values and dividing by the number of values, which means it will always fall within the range of the data set. Therefore, the mean will always be less than or equal to the maximum value.


What is an outlier and what central tendency is affected always by an outlier?

An outlier is a number in a data set that is not around all the other numbers in the data. It will always affect the average; sometimes raising the average to a number higher than it should be, or lowering the average to something not reasonable. Example: Data Set - 2,2,3,5,6,1,4,9,31 Obviously 31 is the outlier. If you were to average these numbers it would be something greater than most of the numbers in your set due to the 31.


Can there be more than one expression that describes a set of data in a table?

no * * * * * Yes, almost always. If you have n data points which are 1-to-1, then it is always possible to fit a polynomial of degree n-1 or greater.


Why the standard deviation of a set of data will always be greater than or equal to 0?

Because it is defined as the principal square root of the variance.


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.