Given a dataset of $ n $ observations, which of the following statements is true regarding the calculation of the sample variance $ s^2 $ versus the population variance $ \sigma^2 $?
Question 2
Consider two datasets: Dataset A with values $ \{10, 20, 30, 40, 50\} $ and Dataset B with values $ \{28, 29, 30, 31, 32\} $. Which of the following statements about their standard deviations is true?
Question 3
A dataset has a mean of $ 100 $ and a standard deviation of $ 10 $. If each data point in the dataset is multiplied by $ 2 $, what will be the new mean and standard deviation?
Question 4
For a dataset with an even number of observations, say $ n $, how is the median typically calculated?
Question 5
Which of the following scenarios would most appropriately use the median as the primary measure of central tendency?
