What are the minimum, first quartile, median, third quartile, and maximum of the data set;
40, 7, 2, 35, 12, 23, 18, 28
To find the minimum, first quartile, median, third quartile, and maximum of a data set, you need to put the numbers in order from smallest to largest.
The given data set is: 40, 7, 2, 35, 12, 23, 18, 28.
1. Sorting the data in ascending order: 2, 7, 12, 18, 23, 28, 35, 40.
Minimum: The minimum value is the smallest number in the data set, which is 2.
First Quartile: The first quartile is the median of the lower half of the data set. In this case, the lower half is 2, 7, 12, and 18. To find the first quartile, you need to find the median of this lower half. Since there are 4 numbers, the median is the average of the two middle numbers. In this case, the two middle numbers are 7 and 12, so the median is (7 + 12) / 2 = 9.5.
Median: The median is the middle value of the data set. In this case, since there are 8 numbers, the middle value is the average of the two middle numbers. The two middle numbers are 12 and 18, so the median is (12 + 18) / 2 = 15.
Third Quartile: The third quartile is the median of the upper half of the data set. In this case, the upper half is 23, 28, 35, and 40. To find the third quartile, you need to find the median of this upper half. Since there are 4 numbers, the median is the average of the two middle numbers. In this case, the two middle numbers are 28 and 35, so the median is (28 + 35) / 2 = 31.5.
Maximum: The maximum value is the largest number in the data set, which is 40.
So, the minimum, first quartile, median, third quartile, and maximum of the given data set are 2, 9.5, 15, 31.5, and 40, respectively.
how to find the first/third quartile and what the median is.
What don't you understand about this assignment?
When you arrange the numbers in order, the median is the middle number.
The first quartile is the first one-fourth of the numbers. The third quartile includes the last one-fourth of the numbers.