# Measure of central tendency help?I am wondering about the position of the central tendency of mean, median and mode for a symmetric distribution and a skewed positively distribution? I think the...

Measure of central tendency help?

I am wondering about the position of the central tendency of mean, median and mode for a symmetric distribution and a skewed positively distribution?

I think the mode for a symmetric distribution will be in the middle section.. ?

Any idea or information will be appreciated.

Thanks

Expert Answers
samhouston | Certified Educator

The measures of central tendency are...

mean - the average of the numbers in the data

median - the middle number when the data is ordered from least to greatest

mode - the number that occurs the most often in a set of data

Data can have symmetric distribution, a positively skewed distribution, or a negatively skewed distribution.

symmetric distribution - the mean, median, and mode are equal

positively skewed distribution - the mean is greater than the median, which is greater than the mode

negatively skewed distribution - the mean is less than the median, which is less than the mode

In summary...

* in a symmetric distribution, the mode is in the center

* in a positively skewed distribution, the mode is on the left

* in a negatively skewed distribution, the mode is on the right

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