Multiple choice

The mean of 6 observations is calculated as 24 and later, it was noted that one of the observations is wrongly taken as 24 instead of - 24. Then, the correct mean is

  1. 40

  2. 32

  3. 24

  4. 16
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Original sum = 6 * 24 = 144. The error was using 24 instead of -24. The difference is 24 - (-24) = 48. Correct sum = 144 - 48 = 96. Correct mean = 96 / 6 = 16.

AI explanation

Using the total sum formula, the initial total of the 6 observations is 6 times 24, which equals 144. The correct sum requires subtracting the wrong value and adding the correct one, so 144 minus 24 plus negative 24 results in a correct sum of 96. The correct mean is found by dividing this correct sum by 6, yielding 96 / 6 = 16. The result is 16.

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