Find the mode and the median of the data in the stem-and-leaf plot below.

Question

Five rows of numbers of numbers are shown.
Row 1 is 5 vertical line 4 4 8
Row 2 is 6 vertical line 0 3 5
Row 3 is 7 vertical line 3 4 6
Row 4 is 8 vertical line 2 5
Row 5 is 9 vertical line 7 8
Label at bottom reads
A. no mode; 73
B. 63; 73.5
C. 54; 73
D. no mode; 73.5

Answer 1

The data in the stem-and-leaf plot is as follows:
54, 54, 58,
60, 63, 65,
73, 74, 76,
82, 85,
97, 98

Let's find the mode (number that appears most often):
54 appears twice, and all other numbers appear only once. So, the mode is 54.

Now let's find the median (middle number in the ordered list):
The list has 14 numbers, so the median will be the average of the 7th and 8th numbers.
The 7th number is 73 and the 8th number is 74, so the median is (73+74)/2 = 73.5.

The answer is option D: no mode; 73.5.