The mean of five numbers is 18. If one number is removed the mean is 16. The number removed is

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 1)
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  1. 16
  2. 18
  3. 24
  4. 26

Answer (Detailed Solution Below)

Option 4 : 26
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Detailed Solution

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Concept use:

Mean = Sum of Observation/Total Number of Observation 

Calculations:

The mean of five numbers is 18 

∴ Sum of Observation = 5 × 18 = 90

If one number is removed the mean is 16. 

∴ Total number of Observation = 4 

∴ Sum of new Observation = 4 × 16 = 64

Sum of new Observation - Sum of Observation = 90 - 64 = 26 (The Number removed from the data)

Hence, The Correct Answer is 26.

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