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It is misleading to use the mean as a descriptor of a data set when the median or mode would be more representative of the data set as a whole.

Q: When is it misleading to use the mean as a descriptor of a data set?

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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 the new data set is shifted from the mean of the original set, in the direction of the added cluster. We note that the same would be true if only a single new element were added.

the mean.

First, you add all of the numbers in the set together. Then, you divde the sum by however many numbers there are in the set of data. Your quotient is the average/mean.

No, for example the set of data 15,20,26,28 has a median that is 20 + 26 /, or 23

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

The average of a set of data is known as its "mean."

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

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.

no. Some mean is a number from the data but some mean is completely different from its data.

When the data set consistys of a single value.

If the set of data are represented by a letter, then the mean is represented by that letter with a bar across its top.

The mode of the data is the number which occurs most frequently in the given set of data.

total marks of data set 1 is 6 x 8 = 48 total marks of data set 2 is 6 x 20= 120 now, the total mean of the combined data set is = (48 + 120) / (6 + 6) = 168 / 12 = 14

The median or mode should be used instead of the mean in distributions with extreme outliers. In such cases, the mean can be a misleading measure of central tendency and the median value or the mode value are typically more accurate measures.

MEAN

Th find the mean of a data set, you add up all the values in the data set and divide this sum by the number of data values. For example, the mean for the data set 2, 5, 6, and 7 is given as 2 plus 5 plus 6 plus 7, which is 20. You divide this sum by number of values in the data set, which is 4 to get 5 as the mean.