The measure of central tendency that divides the data into two equal halves is:a.Meanb.Medianc.Moded.Range

Break Down the Problem

1. Identify the definitions of the terms: mean, median, mode, and range.
2. Understand what is meant by "divides the data into two equal halves."

Relevant Concepts

1. Mean: The average value of a data set, calculated by adding all the values and dividing by the number of values.
2. Median: The middle value of a data set when arranged in ascending order. If there is an even number of values, the median is the average of the two middle values.
3. Mode: The value that appears most frequently in a data set.
4. Range: The difference between the highest and lowest values in a data set.

Analysis and Detail

1. The term "divides the data into two equal halves" specifically refers to the median.
2. For the mean, it does not necessarily divide the data into two equal halves, as it is affected by extreme values (outliers).
3. The mode may occur at different frequencies and does not imply any division of the data set.
4. The range is merely a measure of dispersion and does not involve division.

Verify and Summarize

Given the definitions and their implications, the median is the only measure of central tendency that accurately divides the data into two equal halves.

Final Answer

b. Median