Salesperson sold at average(arithmetic mean) of 28 widgets per week over 5 consecutive weeks. If every week, salesperson sold at least 14 widgets, what is teh greatest possible range of the number of widgets sold in any one week?
A. 28
B.35
C.56
D.70
E.84
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
problem solving at Kaplan
This topic has expert replies
-
Steve Hwang
- Newbie | Next Rank: 10 Posts
- Posts: 6
- Joined: Sun Aug 05, 2007 4:12 pm
-
gmatrant
- Master | Next Rank: 500 Posts
- Posts: 416
- Joined: Wed Oct 03, 2007 9:08 am
- Thanked: 10 times
- Followed by:1 members
Lets take the four weeks that have the least sales at 14 (since that is the min no that is sold each week) so 4*14 = 56. Now average for 5 weeks is 28, hence a total of 140 items are sold. So max in a week = 140 - 56 = 84.
The greatest possible range is 84 (maximum) - 14(minimum) = 70.
(PS :Initially I missed out on what was asked, so crucial for one's accuracy)
The greatest possible range is 84 (maximum) - 14(minimum) = 70.
(PS :Initially I missed out on what was asked, so crucial for one's accuracy)
