The correct answer is B. 51.0 . In the CSSBB material, a stem-and-leaf plot is a manual method for arranging data into ordered groups, with the stem representing the leading digits and the leaf representing the trailing digits. Once the data are arranged in order, the median is the middle value. The CSSBB source states that for an even number of observations, the median is the average of the middle two values .
From the stem-and-leaf plot, the ordered data are:
36, 44, 46, 48, 48, 48, 50, 51, 51, 52, 53, 54, 57, 61, 63, 64
There are 16 values , so the median is the average of the 8th and 9th values. Those values are 51 and 51 .
Median = (51 + 51) / 2 = 51.0
This is why option B is correct. The stem-and-leaf plot is especially useful in Six Sigma because it preserves the original data values while making it easy to identify central tendency, spread, and potential patterns in the sample.