Answer
Quartiles are three values that divide a ranked data set into four equal parts. The second quartile is the same as the median of a data set. The first quartile is the median of the observations that are less than the median, and the third quartile is the median of the observations that are greater than the median.
The examples are as follow:
Example 1 :
The following are the ages of five employees of a company.
33, 52, 27, 49, 32
The ranked data set is as follows: 27, 32, 33, 49, 52
Thus the values of the three quartiles are:
Q1 = the median of the data smaller than Q2 = (27+32) years / 2 = 29.5 years
Q2= median = 33 years
Q3 = the median of the data larger than Q2 = (49+52) years / 2 = 50.5 years
Example 2:
The following are the ages of six employees of a company.
33, 52, 27, 49, 32, 44
The ranked data set is as follows: 27, 32, 33, 44, 49, 52
Thus the values of the three quartiles are:
Q1 = the median of the data smaller than Q2 = (27+32) years / 2 = 29.5 years
Q2= median = (33+44) years / 2 = 38.5 years
Q3 = the median of the data larger than Q2 = (49+52) years / 2 = 50.5 years
Work Step by Step
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