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Mean of an observation is 2 times of mode. If median is 5, what is the average of mode and median of the observation?

Mean of an observation is 2 times of mode. If median is 5, what is the average of mode and median of the observation? Correct Answer 4

Given:

Mean = 2 Mode

Median = 5

Formula Used:

3 (Median) = 2 (Mean) + Mode 

Average = Sum of all items / Number of items 

Calculation:

Let the mode be x

According to question:

⇒ 3 × 5 = 2 (2 Mode) + Mode

⇒ 15 = (4 × x) + x 

⇒ 15 = 5x

⇒ x = 3

Mode of this observation is 3

Average = (Mode + Median)/2

⇒ Average = (3 + 5)/2

⇒ 4

∴ Required average is 4

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