Question

If the mode and median of an observation are 1400and 1500 respectively find it mean

Answer 1

3Median = 2Mean + Mode
=>3x 1500 = 2Mean +1400
=>2Mean = 4500-1400
=>Mean = 3100/2 = 1550.

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Answer 2

Solution :

Given mode(z) = 1400,

median ( m ) = 1500,

Let the mean = x

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We know the ,

Empirical Formula :

mode = 3median - 2mean

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1400 = 3 × 1500 - 2x

=> 2x = 4500 - 1400

=> 2x = 3100

=> x = 3100/2

=> x = 1550

Therefore ,

Mean ( x ) = 1550

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