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Q.

For a certain distribution, mode and median were found to be 1000 and 1250 respectively, the mean for this distribution using an empirical relation will be ____.


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Detailed Solution

For a certain distribution, mode and median were found to be 1000 and 1250 respectively, the mean for this distribution using an empirical relation will be 1375.
Given that mode and median are 1000 and 1250 respectively.
There is an empirical relationship between the three measures of central tendency, which is Mode =3 Median −2 Mean   .
Substituting values, we get:
 Mode  =3 Median −2 Mean   Mean  = 3 Median − Mode  2 = 3×1250−1000 2 =1375  
Thus, the value of mean is 1375.
 
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