The value that splits a data set into two halves is called the

The value that splits a data set into two halves is called the

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

Answer: (B)

The value that splits a data set into two halves is the median. When the data are ordered from smallest to largest, the median sits at the middle and marks the point where half the observations are at or below it and half are at or above it. If there’s an odd number of values, it’s the exact middle value; if even, it’s the average of the two central values. This makes the median a robust measure of center that isn’t as influenced by extreme numbers as the mean. By contrast, the mean is the overall average of all values, which can be pulled toward outliers; the mode is simply the most frequent value; and the range reflects spread between the smallest and largest values, not a central point. Example: data 1, 2, 3, 100 have a median of (2 + 3) / 2 = 2.5, which lies between the two middle values and splits the data roughly into two halves.

The value that splits a data set into two halves is the median. When the data are ordered from smallest to largest, the median sits at the middle and marks the point where half the observations are at or below it and half are at or above it. If there’s an odd number of values, it’s the exact middle value; if even, it’s the average of the two central values. This makes the median a robust measure of center that isn’t as influenced by extreme numbers as the mean. By contrast, the mean is the overall average of all values, which can be pulled toward outliers; the mode is simply the most frequent value; and the range reflects spread between the smallest and largest values, not a central point. Example: data 1, 2, 3, 100 have a median of (2 + 3) / 2 = 2.5, which lies between the two middle values and splits the data roughly into two halves.