Question

out of these ,which is the formula for determining mode?1. 2 median -3mean 2. 2median +3 mean 3. 3 median -2 mean 4. 3 median +2 mean ​

Answer 1

Question :- out of these ,which is the formula for determining mode ?

1. 2 median - 3mean

2. 2median +3 mean

3. 3 median -2 mean

4. 3 median +2 mean

Solution :-

Case 1 :When we have a symmetrical distribution for continuous data :

• Mean = Median = Mode.

Case 2 :When the frequencies are not properly distributed it is called as an asymmetrical distribution.

Than,

The relationship between the three measures of central tendency :

• 2Mean = 3Median - Mode.

which is Equal to,

→ 2Mean = 3Median - Mode

→ Mode = 3Median - 2Mean. (Option C.) (Ans.)

Learn more :-

Which relation among three measures of central tendency, mean, median and mode is correct? 

(mode = 3 mean –2 median)

(m...

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The formula for determining mode

1. 2 median -3mean

2. 2median +3 mean

3. 3 median -2 mean

4. 3 median +2 mean

EVALUATION

Mean

In measure of central tendency mean is the most common measure.

For a given set of observations mean is the average value of a group of numbers.

It is obtained by adding up all the observations divide by the number of observations

Median

Median is the middle most value of a set of observations when the samples are arranged in order of magnitudes ( Either in ascending or in descending)

Mode

For a set of observations mode is defined to be the value ( or values) of the sample ( or samples) which will occur with maximum frequency.

Mean is based on all the observations and if one of the observation is changed, the mean will also change. On the other hand median and mode may remain unchanged even if a number of sample values be changed.

For symmetrical frequency distribution

$\sf{Mean = Mode = Median }$

But for moderately asymmetrical distribution there is an approximate relation between them and it is given by

Mean - Mode = 3 ( Mean - Median)

That is Mode = 3 × Median - 2 × Mean

FINAL ANSWER

The formula for determining mode

3. Mode = 3 × Median - 2 × Mean

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