What are the minimum, first quartile, median, third quartile, and maximum of the data set?
18, 20, 11, 10, 8, 6, 12, 4
A. minimum 4; first quartile 7; median 10.5; third quartile 17.5; maximum 20
B. minimum 4; first quartile 5.5; median 12.75; third quartile 15; maximum 20
C. minimum 4; first quartile 8.75; median 12.75; third quartile 17.5; maximum 20
D. minimum 4; first quartile 7; median 10.5; third quartile 15; maximum 20
A. minimum 4; first quartile 7; median 10.5; third quartile 17.5; maximum 20
To find the minimum, first quartile, median, third quartile, and maximum of the data set, we can follow these steps:
1. Order the data set in ascending order: 4, 6, 8, 10, 11, 12, 18, 20.
2. Find the minimum, which is the smallest value in the data set: minimum = 4.
3. Find the first quartile, which represents the value that is 25% into the data set. In this case, there are 8 numbers, so we can find the average of the two middle numbers: first quartile = (6 + 8) / 2 = 7.
4. Find the median, which represents the value that is in the middle of the data set. In this case, there are 8 numbers, so the median is the average of the two middle numbers: median = (10 + 11) / 2 = 10.5.
5. Find the third quartile, which represents the value that is 75% into the data set. In this case, there are 8 numbers, so we can find the average of the two middle numbers: third quartile = (12 + 18) / 2 = 15.
6. Find the maximum, which is the largest value in the data set: maximum = 20.
Therefore, the answer is A. minimum 4; first quartile 7; median 10.5; third quartile 15; maximum 20.