Finite Math Help Please!!! Can someone help me ? I am confused about this Problem?
Median Quartile 1 (Q1) Quartile 3 (Q3) for boxplot
9
10
11
12
13
14
15
16
17
18
19
20
Data
To find the median (or the second quartile), you arrange the data in ascending order and find the middle value. In this case, there are 11 data points, so the middle value would be the 6th value since (11 + 1) / 2 = 6.
Arranging the numbers in ascending order:
9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20
The 6th value is 14, so the median is 14.
To find the first quartile (Q1), you find the median of the lower half of the data. Since we have an odd number of data points (11), the lower half would be the first 5 numbers.
The first quartile would be the median of these numbers: 9, 10, 11, 12, 13.
Arranging them in ascending order: 9, 10, 11, 12, 13
The median of these numbers is 11, so Q1 = 11.
To find the third quartile (Q3), you find the median of the upper half of the data. Again, since we have an odd number of data points, the upper half would be the last 5 numbers.
The third quartile would be the median of these numbers: 16, 17, 18, 19, 20.
Arranging them in ascending order: 16, 17, 18, 19, 20
The median of these numbers is 18, so Q3 = 18.
Therefore, the values for the median (Q2), first quartile (Q1), and third quartile (Q3) for the given data are:
Median (Q2) = 14
First Quartile (Q1) = 11
Third Quartile (Q3) = 18