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The mean of five observations is 15. If the mean of first three observations is 14 and that of last three is 17, then the third observation is
  • a)
    29
  • b)
    31
  • c)
    32
  • d)
    18
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The mean of five observations is 15. If the mean of first three observ...
⇒  It is given that Mean of 5 observations is 15.
∴  The sum of observations =15×5=75.
∴  It is given that mean of the first 3 observations is 14.
∴  The sum of first three observations =14×3=42.
⇒  Given that mean of the last 3 observations is 17.
∴  The sum of the last three observations =17×3=51
∴  The third observation =(42+51)−75
 =93−75
=18
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Community Answer
The mean of five observations is 15. If the mean of first three observ...
It is given that Mean of 5 observations is 15.
∴ The sum of observations =15×5=75.
∴ It is given that mean of the first 3 observations is 14.
∴ The sum of first three observations =14×3=42.
⇒ Given that mean of the last 3 observations is 17.
∴ The sum of the last three observations =17×3=51
∴ The third observation =(42+51)−75
=93−75
=18
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The mean of five observations is 15. If the mean of first three observations is 14 and that of last three is 17, then the third observation isa)29b)31c)32d)18Correct answer is option 'D'. Can you explain this answer?
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