Multiple choice

The mean of 100 observations is 24. On adding 6 to each observation and then multiplied with 2.5, what will be the new average of those observations?

  1. 30

  2. 75

  3. 35

  4. 60

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original mean is 24 for 100 observations, so total is 2400. Adding 6 to each observation adds 600 to the total (6 x 100), making it 3000. Multiplying by 2.5 gives 7500. The new mean is 7500/100 = 75. Alternatively: new mean = (old mean + 6) x 2.5 = 30 x 2.5 = 75.

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