In data analysis, which statement correctly defines mean, median, and mode?

In data analysis, which statement correctly defines mean, median, and mode?

• A. Mean is the sum divided by count.
• B. Median is the most frequent value.
• C. Mean is the average; Median is the middle value; Mode is the most frequent value.
• D. Mode is the middle value.

Answer: (C)

Understanding how these three measures summarize data helps you see different stories a data set can tell. The mean is the average: you add up every value and divide by how many values there are. The median is the middle value when the data are arranged in order (and if there are two middle values, you average those two). The mode is the value that appears most often, and a data set can have more than one mode or none at all. The statement that lists all three definitions correctly does so in a concise, precise way: the mean is the average, the median is the middle value, and the mode is the most frequent value. Using a quick example—say the data are 1, 2, 2, 3, 100—helps see the differences: the mean is 21.6, the median is 2, and the mode is 2. This highlights why mean can be influenced by outliers, while median better represents the central tendency when outliers exist, and mode shows the most common value. Other statements either describe only one measure or mix up what each term means (for example, saying the median is the most frequent value or the mode is the middle value), which doesn’t accurately capture all three definitions.

Understanding how these three measures summarize data helps you see different stories a data set can tell. The mean is the average: you add up every value and divide by how many values there are. The median is the middle value when the data are arranged in order (and if there are two middle values, you average those two). The mode is the value that appears most often, and a data set can have more than one mode or none at all.

The statement that lists all three definitions correctly does so in a concise, precise way: the mean is the average, the median is the middle value, and the mode is the most frequent value. Using a quick example—say the data are 1, 2, 2, 3, 100—helps see the differences: the mean is 21.6, the median is 2, and the mode is 2. This highlights why mean can be influenced by outliers, while median better represents the central tendency when outliers exist, and mode shows the most common value.

Other statements either describe only one measure or mix up what each term means (for example, saying the median is the most frequent value or the mode is the middle value), which doesn’t accurately capture all three definitions.