The second quartile is the same as the median.

The second quartile is the same as the median.

• A. False
• B. True
• C. It is the mean
• D. It is the maximum

Answer: (B)

The second quartile is the same as the median because quartiles mark the 25th, 50th, and 75th percentiles of a data set. The second quartile corresponds to the 50th percentile, which is exactly the point that divides the data into two halves. That value is the median: in odd-sized data sets it’s the middle value, and in even-sized data sets it’s the average of the two middle values. So Q2 and the median represent the same central point. The mean or the maximum are different summaries and do not define the 50th percentile.

The second quartile is the same as the median because quartiles mark the 25th, 50th, and 75th percentiles of a data set. The second quartile corresponds to the 50th percentile, which is exactly the point that divides the data into two halves. That value is the median: in odd-sized data sets it’s the middle value, and in even-sized data sets it’s the average of the two middle values. So Q2 and the median represent the same central point. The mean or the maximum are different summaries and do not define the 50th percentile.