1. Five students recorded the number of hours they spent studying for an exam: 3, 5, 2, 4, and 6 hours. What is the median of study hours? 2. The scores of six basketball players in a game are: 12, 18, 10, 14, 20, and 16 points. What is the median score? 3. During a week, a family recorded the number of cups of water they consumed each day: 7, 5, 6, 8, and 9. What is the median number of cups consumed? 4. A teacher measured the reading times (in minutes) of her students during a silent reading session: 15, 20, 10, 25, 30, and 35. What is the median reading time? 5. The number of pages read by a group of students over the weekend were: 50, 40, 60, 30, and 70 pages. What is the median number of pages read?
Answer (1)
To find the median, you need to arrange the numbers in order and find the middle value. If there is an even number of values, the median is the average of the two middle numbers.
Study Hours:
The recorded study hours are: 3, 5, 2, 4, and 6.
First, arrange the hours in ascending order: 2, 3, 4, 5, 6.
The middle value (third position) is 4.
Therefore, the median is 4 hours.
Basketball Scores:
Scores given are: 12, 18, 10, 14, 20, and 16.
Arrange the scores in ascending order: 10, 12, 14, 16, 18, 20.
There are six scores, so the median will be the average of the third and fourth values: (14 + 16) / 2 = 15.
Therefore, the median score is 15 points.
Cups of Water:
The recorded numbers are: 7, 5, 6, 8, and 9.
Arrange in ascending order: 5, 6, 7, 8, 9.
The middle value (third position) is 7.
Therefore, the median is 7 cups.
Reading Times:
The times recorded are: 15, 20, 10, 25, 30, and 35 minutes.
Arrange the times: 10, 15, 20, 25, 30, 35.
There are six values, so find the average of the third and fourth values: (20 + 25) / 2 = 22.5 minutes.
Therefore, the median reading time is 22.5 minutes.
Pages Read:
The numbers of pages are: 50, 40, 60, 30, and 70.
Arrange in ascending order: 30, 40, 50, 60, 70.
The middle value (third position) is 50.
Therefore, the median is 50 pages.
Medan is useful as it provides the middle point of a data set, offering insight into what is "typical" in the data distribution.
