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Question

The relationship between mean, median and mode is ______________.

A
2 Mean=3 MedianMode
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B
Mean=3 MedianMode2
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C
Median=2 Mean+Mode3
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D
All of above
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Solution

The correct option is A All of above
Mean refers to the average amount in a given group of data. In this measure of central tendency, all the data are added up and then divided by the number of figures in the data in order to ascertain the mean.
Median is the middle most value of a series.
Mode is the highest occurring figure in a series. It is the value in a series of observation that repeats maximum number of times and which represents the whole series as most of the values in the series revolves around this value.
The relationship between mean, median and mode is described as
Mode = 3 Median - 2 Mean
=> 2 mean = 3 median - mode
=> mean = ( 3 median - mode )/2
or
Mode = 3 Median - 2 Mean
=> 3 median = 2 mean + mode
=> median = ( 2 mean + mode )/3

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