Boxplot Five Number Summary
9
10
11
12
13
14
15
16
17
18
19
20
DATA
WHAT IS THE Q1, MEDIAN, Q3
have you learned how to find the mean and median? What do you get?
IF I DID I WOULDN'T BE ASKING FOR HELP
Time to learn.
http://www.mathsisfun.com/mean.html
http://www.mathsisfun.com/median.html
To find the first quartile (Q1), median, and third quartile (Q3) of a data set, you can create a boxplot or use the five-number summary. The five-number summary consists of:
1. Minimum: The smallest value in the data set.
2. Q1: The median of the lower half of the data set.
3. Median: The middle value of the data set when it is in ascending order.
4. Q3: The median of the upper half of the data set.
5. Maximum: The largest value in the data set.
To determine the Q1, median, and Q3 from the given data set, we need to arrange the data in ascending order:
9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.
First, we find the median, which is the middle value of the data set. In this case, there are 12 values, so the median is the average of the 6th and 7th values:
Median = (14 + 15) / 2 = 14.5.
To find Q1, we consider the lower half of the data set, which is the values from the 1st through the 6th value. Since there are 6 values, Q1 is the median of these values. In this case, it is the average of the 3rd and 4th values:
Q1 = (11 + 12) / 2 = 11.5.
To find Q3, we consider the upper half of the data set, which is the values from the 7th through the 12th value. Again, Q3 is the median of these values. In this case, it is the average of the 9th and 10th values:
Q3 = (18 + 19) / 2 = 18.5.
So, the first quartile (Q1) is 11.5, the median is 14.5, and the third quartile (Q3) is 18.5.