Question

In a frequency distribution, the value that occurs most frequently is called the_____________

• A. Mean
• B. Median
• C. Mode
• D. Range

Hint:

Key definitions to remember:
- Average \(\rightarrow\) Mean
- Middle value \(\rightarrow\) Median
- Most frequent \(\rightarrow\) Mode
A distribution can have one mode (unimodal), two modes (bimodal), or no mode at all if all values occur with equal frequency.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
In statistics, measures of central tendency are used to identify a single representative value that describes the center of a data set.
The three primary measures of central tendency are the mean, median, and mode.

Step 2: Detailed Explanation:
Let us define the statistics terms provided in the options:
- Mean: The arithmetic average of all observations, calculated by summing all values and dividing by the total number of observations.
- Median: The middle value of a data set when the observations are arranged in ascending or descending order. It divides the data set into two equal halves.
- Mode: The value or observation that appears with the highest frequency in a given dataset. It represents the most common or popular value.
- Range: A measure of dispersion (not central tendency) calculated as the difference between the maximum and minimum values in the dataset.
Therefore, by definition, the value that occurs most frequently in a frequency distribution is the mode.

Step 3: Final Answer:
The value that occurs most frequently in a frequency distribution is called the Mode.