Suppose that the following data represents ages of all tenured faculty members in a certain academic...

Suppose that the following data represents ages of all tenured faculty members in a certain academic department, and we want to numerically describe the age distribution for this department only:

42, 39, 44, 50, 45, 42, 36, 47, 39, 42, 43, 47

What is the 3^rd quartile?

Solutions

Expert Solution

Solution:
Arranging Observations in the ascending order, We get :
36,39,39,42,42,42,43,44,45,47,47,50

Here, n=12

Q3=(3(n+1)4)th value of the observation

=((3⋅13 ) / 4)th value of the observation

=(9.75)th value of the observation

=9th observation +0.75[10th-9th]

=45+0.75[47-45]

=45+0.75(2)

=45+1.5

=46.5

Q3= 46.5

3rd quartile = 46.5

orchestra answered 2 years ago

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