Question

David collected the ages of colleagues and recorded his results using a stem and leaf diagram.
Key: 2 | 3 = 23
What are the mode and median for the given data?

• A. Mode = 40, Median = 40
• B. Mode = 38, Median = 40
• C. Mode = 40, Median = 38
• D. Mode = 32, Median = 38

Answer 1

The correct option is A Mode = 40, Median = 40

Following the key, the above stem and leaf diagram can be read as:

23, 25, 25, 26, 29, 32, 32, 40, 40, 40, 40, 41, 47, 48, 50

To find the mode of the given data, we first arrange it into an ordered list of the marks and the frequencies of their occurrence:

23	25	26	29	32	40	41	47	48	50
1	2	1	1	2	4	1	1	1	1

Thus, the mode of the given data is 40.

The median is the middle value of a numerically ordered data set.
Since the total number of data points is odd, the median is the middle value of the data set arranged in ascending order. In this case, it is the 8th number.

Thus, the median of the given data set is 40.