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.
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 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