Consider the following stem-and-leaf diagram. If the numbers in the left column are deciles, the median of the distribution falls in the range of _______.
A) 80 - 90
B) 60 - 69
C) 70 - 79
D) can't answer; need more information

Question

Consider the following stem-and-leaf diagram.  If the numbers in the left column are deciles, the median of the distribution falls in the range of _______.
A) 80 - 90 
B) 60 - 69 
C) 70 - 79 
D) can't answer; need more information

Quizplus · Accepted Answer

Deciles divide the data into 10 equal parts. Since the stem-and-leaf diagram has 10 rows, each row represents one decile.

The median is the middle value of the distribution. In this case, there are 100 observations (10 rows x 10 columns), so the median falls halfway through the distribution, which is between the 50th and 51st observations.

Looking at the stem-and-leaf diagram, the 50th observation falls in the 70-79 decile (row 5), and the 51st observation falls in the 80-89 decile (row 6). Therefore, the median falls in the range of 70-79.

Consider the Following Stem-And-Leaf Diagram