Question

If the mean of x observation is 120 and their mode is 300 , then find its median.

Answer 1

3Median = 2Mean + Mode
=>3Median = 2×120 + 300
=>3Median = 540
=> Median = 540/3 = 180.

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Answer 2

Solution :

mean of x observations ( x ) = 120

mode ( z ) = 300

Let the median = m

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We know the

Empirical Formula :

Mode = 3median - 2mean

z = 3m - 2x

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300 = 3m - 2 × 120

=> 300 = 3m - 240

=> 300 + 240 = 3m

=> 540 = 3m

=> m = 540/3

=> m = 180

Therefore ,

Median ( m ) = 180

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