Which of the following cases require the mean of a sample to be calculated using the formula = $\bar{x}=\frac{\sum_{i=1}^{N} f_{i} x_{i}}{N}$
?
A)the sample has no mode value
B)there is direct access to the raw data
C)sample data are grouped in a frequency distribution
D)the coefficient of skewness is 1 or less than -1

Question

Which of the following cases require the mean of a sample to be calculated using the formula = $\bar{x}=\frac{\sum_{i=1}^{N} f_{i} x_{i}}{N}$
 ?
A)the sample has no mode value
B)there is direct access to the raw data
C)sample data are grouped in a frequency distribution
D)the coefficient of skewness is 1 or less than -1

Quizplus · Accepted Answer

If the sample data are grouped in a frequency distribution, we cannot directly calculate the mean as we do not have access to the raw data. In this case, we would need to use the formula for calculating the weighted mean using the frequency distribution formula given. The other options - A, B, and D - do not necessarily require the use of this formula for calculating the mean.

Which of the Following Cases Require the Mean of a Sample