Question

The mean and sample standard deviation of the dataset consisting of 6 observations is 12 and 8 respectively. Later it is noted that one observation 19 is wrongly noted as 14. What is the mean of the original dataset?

Answer 1

The mean of the original dataset can be calculated as follows:

1. Find the sum of the original dataset by multiplying the mean by the number of observations: 12 x 6 = 72.

2. Subtract the incorrect data point (14) and add the correct data point (19): 72 - 14 + 19 = 77.

3. Divide the sum by the number of observations (6): 77 / 6 = 12.83.

Therefore, the mean of the original dataset is 12.83.