third quartile of 22 36 14 23 40
Answers
Answer:
The lower half of a data set is the set of all values that are to the left of the median value when the data has been put into increasing order.
The upper half of a data set is the set of all values that are to the right of the median value when the data has been put into increasing order.
The first quartile, denoted by Q1 , is the median of the lower half of the data set. This means that about 25% of the numbers in the data set lie below Q1 and about 75% lie above Q1 .
The third quartile, denoted by Q3 , is the median of the upper half of the data set. This means that about 75% of the numbers in the data set lie below Q3 and about 25% lie above Q3 .
Example 1: Find the first and third quartiles of the data set {3, 7, 8, 5, 12, 14, 21, 13, 18}.
First, we write data in increasing order: 3, 5, 7, 8, 12, 13, 14, 18, 21.
Step-by-step explanation:
In this case all the quartiles are between numbers: Quartile 1 (Q1) = (4+4)/2 = 4. Quartile 2 (Q2) = (10+11)/2 = 10.5. Quartile 3 (Q3) = (14+16)/2 = 15.