Question

What is the relationship between mean, mode and median for a distribution ?
a) mode = 3 median - 2 mean
b) mode = 3 mean - 2 median
c) mode = mean + 3 (mean - median) d) mode = mean - 3 (mean + mode)
of the distribution 2 3 4
6 and 7 is 4 5 find the value ofy​

Answer 1

Step-by-step explanation:

4.6 Empirical Relation Between Mean, Median And Mode

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.

Answer 2

Answer:

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.

Step-by-step explanation:

Empirical Relationship between Mean, Median and Mode

In case of a moderately skewed distribution, the difference between mean and mode is almost equal to three times the difference between the mean and median. Thus, the empirical mean median mode relation is given as: Mean – Mode = 3 (Mean – Median)

The mean, median and mode are types of average.

The range gives a measure of the spread of a set of data.

This section revises how to calculate these measures for a simple set of data.

It then goes on to look at how the measures can be calculated for a table of data.

Calculating the Mean, Median, Mode and Range for simple data

The table below shows how to calculate the mean, median, mode and range for two sets of data.

Set A contains the numbers 2, 2, 3, 5, 5, 7, 8 and Set B contains the numbers 2, 3, 3, 4, 6, 7.

hope it helps you

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