Question

what is empirical formula for mode​

Answer 1

Answer:

The empirical formula originally discovered by Karl Pearson (mean - mode) = 3(mean - median) tends to work when the skewness is small.

In fact it can be shown to be approximately true under certain conditions.

Answer 2

A distribution in which the values of mean, median and mode coincide (i.e. mean = median = mode) is known as a symmetrical distribution. Conversely, when values of mean, median and mode are not equal the distribution is known as asymmetrical or skewed distribution. In moderately skewed or asymmetrical distribution a very important relationship exists among these three measures of central tendency. In such distributions the distance between the mean and median is about one-third of the distance between the mean and mode, as will be clear from the diagrams 1 and 2. Karl Pearson expressed this relationship as:

Mode = mean - 3 [mean - median]

Mode = 3 median - 2 mean

and Median = mode + 2/3(mean-mode)

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