If the mean of a distribution is 8.73 and its median is 11, then the mode of the distribution is ________ (using empirical relation). 

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RRB Group D 16 Sept 2022 Shift 3 Official Paper
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  1. 19.73
  2. 22
  3. 17.46
  4. 15.54

Answer (Detailed Solution Below)

Option 4 : 15.54
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Detailed Solution

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Given:

Mean and median are 8.73 and 11 respectively.

Formula used:

Empirical relation

Mode = 3 Median - 2 Mean

Calculation:

Mode = 3 Median - 2 Mean

⇒ Mode = 3(11) - 2(8.73)

⇒ Mode = 33 - 17.46 = 15.54

∴ The Required value of Mode is 15.54.

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