If the average of the numbers 12, 25, 36, 14, 17, 28, 32 and x is 23, then the value of x is: 

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DDA JE Civil 29 Mar 2023 Shift 3 Official Paper
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  1. 25
  2. 35
  3. 30
  4. 20

Answer (Detailed Solution Below)

Option 4 : 20
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Detailed Solution

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Given:

average of the numbers 12, 25, 36, 14, 17, 28, 32 and x is 23

Formula used:

Average = sum of the observation/number of the observation

Calculation:

According to the question,

⇒ (12 + 25 + 36 + 14 + 17+ 28 + 32 + x)/8 = 23

⇒ 164 + x = 23 × 8

⇒ x = 184 - 164

⇒ x = 20

∴ The value of x is 20.

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