Find the mode and the median of the data in the stem-and-leaf plot below.
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
To find the mode, we need to determine which number(s) occur the most frequently in the data. We see that the number 54 appears twice, but all other numbers appear only once. Therefore, the mode is 54.
To find the median, we need to find the middle value of the data. First, we list the data in numerical order:
54, 54, 58, 60, 63,
65, 73, 74, 76, 82,
85, 97, 98
There are 13 numbers in the data, so the middle number is the 7th value. The 7th value is 73, so the median is 73.
The mode and median are 54 and 73, so the answer is choice (C).