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      Question

      The mean of a set of 120 observations is 80.10 is

      subtracted from each observation and each of the corresponding result is divided by 7. What is the mean of the new set?
      A 7 Correct Answer Incorrect Answer
      B 10 Correct Answer Incorrect Answer
      C 5(5/6) Correct Answer Incorrect Answer
      D 7(1/12) Correct Answer Incorrect Answer

      Solution

      Total of 120 observation = 120 × 80 ⇒ 9600 After decreasing new total = 9600 - 10 × 120 ⇒ 8400 Now, After dividing each term by 7 new total = 8400/7 = 1200 Now, New mean = 1200/120 ⇒ 10 ∴ The mean of the new set is 10

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