Question

fill in the blank. the measure of center that is the value that occurs with the greatest frequency is the ______. the measure of center that is the value that occurs with the greatest frequency is the options: mean, mode, median, midrange

Explanation:

To determine the measure of center that occurs with the greatest frequency, we recall the definitions of each option:

• Mean: The average of the data set, calculated as the sum of all values divided by the number of values. It does not relate to frequency of occurrence.
• Median: The middle value when the data is ordered (or the average of the two middle values for an even number of observations). It represents the middle position, not frequency.
• Mode: By definition, the mode is the value (or values) that appears most frequently in a data set.
• Midrange: The average of the maximum and minimum values in the data set, calculated as \(\frac{\text{max} + \text{min}}{2}\). It does not involve frequency.

Since the question asks for the measure of center with the greatest frequency, the mode fits this description.

Answer:

mode