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Using the empirical relation between the mean, median and mode, find the value of the mode if the median is 30 and mean is 25.

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RRB Technician Grade III Official Paper (Held On: 29 Dec, 2024 Shift 1)
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  1. 330
  2. 50
  3. 60
  4. 40

Answer (Detailed Solution Below)

Option 4 : 40
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Detailed Solution

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Given:

Mean = 25

Median = 30

Formula used:

Mode = 3 × Median - 2 × Mean

Calculation:

Mode = 3 × 30 - 2 × 25

⇒ Mode = 90 - 50

⇒ Mode = 40

∴ The correct answer is option (4).

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