Find the mean proportional between 20 and 500.
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Solution :-
Geometric means especially the square root ( such as x) of the product of two numbers ( such as a and b) so when we expressed them as a mean proportion
a/ x = x/ b
or
a : x = x : b
Therefore ,
Mean^2 ( x^2) = AB
Mean ( x) = √AB
Now, put the values ,
Mean ( x ) = √ 20 * 500
Mean ( x ) = √ 1000
Mean ( x ) = 10√10
- Mean is the average value of the given set of data.
- Mean = Sum of all terms / No. of terms
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