The mean of 6, 8, x + 2, 10, 2x - 1, 2 is 9. Find x. 

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DFCCIL Executive CBT1 Civil 25 Aug 2023 Shift 3 Official Paper
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  1. 7
  2. 11
  3. 7.5
  4. 9

Answer (Detailed Solution Below)

Option 4 : 9
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Detailed Solution

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Given:

Numbers: 6, 8, x + 2, 10, 2x - 1, 2

Mean of the numbers = 9

Formula Used:

Mean = (Sum of all numbers) / (Number of numbers)

Calculation:

Sum of the numbers = 6 + 8 + (x + 2) + 10 + (2x - 1) + 2

Number of numbers = 6

Mean = 9

Substitute the values into the formula:

⇒ 6 + 8 + x + 2 + 10 + 2x - 1 + 2 = 54

⇒ 3x + 27 = 54

⇒ 3x = 54 - 27

⇒ 3x = 27

⇒ x = 27 / 3

⇒ x = 9

The value of x is 9.

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