Question

Which of the following statements is true about percentiles?

a. The 50th percentile is the mean of a distribution
b. The 25th percentile divides the data into two parts: 25% of the data at or above its value and 75% at or below its value
c. Percentiles are a quick way to understand the mean of a distribution without generating a chart
d. The 50th percentile is the median of a distribution and divides the data into two equal parts

Answer 1

The true statement about percentiles is that the 50th percentile is equivalent to the median of a distribution, dividing the data into two equal parts.

Step-by-step explanation:

The statement 'The 50th percentile is the median of a distribution and divides the data into two equal parts' is true about percentiles. The 50th percentile, also known as the median, is the value below which 50 percent of the data falls, effectively splitting the dataset in half.

On the other hand, statement 'b.' is incorrect because the 25th percentile divides the data such that 25 percent of the data is at or below its value, and 75 percent is above it - not the other way around. Percentiles are measures used to describe the relative position of a data point within a dataset, and they do not convey the mean of the distribution.