Statistics

[ajdjmba]

Pl help me with following ques of Data sufficiency.
q no 129 OG 12

129. What is the median number of employees assigned
per project for the projects at Company Z ?
(1) 25 percent of the projects at Company Z have 4
or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2
or fewer employees assigned to each project.

[Anurag@Gurome]

Pl help me with following ques of Data sufficiency.
q no 129 OG 12

129. What is the median number of employees assigned
per project for the projects at Company Z ?
(1) 25 percent of the projects at Company Z have 4
or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2
or fewer employees assigned to each project.

Both the statements separately are NOT SUFFICIENT to answer the question.

Next combine both the statements: (1) covers the possibilities when there are 4 or more employees in each project, and (2) covers the possibilities when there are 2 or fewer employees in each project. This implies that no. of employees not covered for each project is 3. Therefore, 100% - (25% + 35%) = 40% of the projects have 3 employees assigned to each project. So, combining the statements is SUFFICIENT.

The correct answer is C.

[ajdjmba]

Thank you for the reply sir, but i was wondering why should i assume 3 persons are employed for rest % of projects.

It may be a very lame question to ask, but i dont wanna live with doubts on this concept.


Regds
Ankit

[sandeep_thaparianz]

thats because first option says 4 or more that means 4,5,6,7, and so on

and second option says 2 or few that means 0,1,2

so only option left is 3

hope is understood ur question properly

[eaakbari]

Pl help me with following ques of Data sufficiency.
q no 129 OG 12

129. What is the median number of employees assigned
per project for the projects at Company Z ?
(1) 25 percent of the projects at Company Z have 4
or more employees assigned to each project.
(2) 35 percent of the projects at Company Z have 2
or fewer employees assigned to each project.

Both the statements separately are NOT SUFFICIENT to answer the question.

Next combine both the statements: (1) covers the possibilities when there are 4 or more employees in each project, and (2) covers the possibilities when there are 2 or fewer employees in each project. This implies that no. of employees not covered for each project is 3. Therefore, 100% - (25% + 35%) = 40% of the projects have 3 employees assigned to each project. So, combining the statements is SUFFICIENT.

The correct answer is C.

Anurag,

How can you conclude that the median is 3 on the basis of it having 40% share.
Could you break it down mathematically?

Thanks