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Mathematics

If the mean of 10, 12, 16, 20, p and 26 is 17, then the value of p is :

  1. 16

  2. 18

  3. 20

  4. 24

Statistics

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Answer

Mean = 17

Number of observations = 6

Mean = Sum of observationsTotal number of observations\dfrac{\text{Sum of observations}}{\text{Total number of observations}}

⇒ 17 = 10+12+16+20+p+266\dfrac{10+12+16+20+p+26}{6}

⇒ 102 = 84 + p

⇒ p = 102 - 84

⇒ p = 18.

Hence, option 2 is the correct option.

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