Question

what are the quartiles of a distribution? how do we find them?

what are the quartiles of a distribution?

a. the quartiles consist of the mean, the median, and the standard deviation of the data distribution.

b. when the data distribution is divided equally into four sets, each set of values is called a quartile.

c. the quartiles are values that divide the data distribution into quarters.

d. the quartiles consist of the lowest value, the median, and the highest value of the data distribution.

Explanation:

Quartiles are values that divide a data distribution into four equal - sized parts (quarters). Let's analyze each option:

• Option A: The mean, median, and standard deviation are not quartiles. The mean is the average of the data, the median is the middle - value (second quartile), and the standard deviation measures the spread of the data.
• Option B: When the data distribution is divided equally into four sets, the dividing points (not the sets themselves) are called quartiles.
• Option C: Quartiles are values that divide the data distribution into quarters. This is the correct definition.
• Option D: The lowest value, median, and highest value do not form quartiles. Quartiles involve values that split the data into four parts.

Answer:

C. The quartiles are values that divide the data distribution into quarters.