Average of 24 observations is 41. Average of first 9 observations is 42. Average of last 16 observations is 39. What is the value of 9th observation?

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SSC MTS (2022) Official Paper (Held On: 13 Jun, 2023 Shift 1)
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  1. 14
  2. 24
  3. 18
  4. 20

Answer (Detailed Solution Below)

Option 3 : 18
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Detailed Solution

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Given:

The average of 24 observations is 41.

The average of first 9 observations is 42.

The average of last 16 observations is 39.

Calculation:

A total of  24 observations is,

⇒  41 × 24 = 984

The total first of 9 observations is,

⇒  9 × 42  = 378

The total of the last 16 observations is 

⇒  16 × 39  = 624

Sum of the total of 25 observation,

⇒  624 + 378 = 1002

The value of 9th observation is 

⇒  1002 - 984 = 18

∴ The correct option is 3

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