Question

In a dataset with an even number of observations, which statement is correct about the second quartile (Q2)?

Options

• Q2 can never be the average of two central values

• Q2 is always less than Q1

• Q2 may be the average of the two middle observations

• Q2 is always equal to Q3

Answer 1

Q2 may be the average of the two middle observations

Explanation:

For an even-sized dataset, the median (Q2) is calculated by averaging the two central values, which makes this option accurate.