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_____________________________________________ | Amount

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Director
Joined: 17 Sep 2005
Posts: 924
Followers: 3

Kudos [?]: 53 [0], given: 0

_____________________________________________ | Amount [#permalink]  09 Sep 2007, 15:13
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_____________________________________________
| Amount earned per day| $96 |$84 | $80 |$70 | $48 | ____________________________________________ | Number of Days | 4 | 7 | 4 | 3 | 2 | _____________________________________________ A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the median amount of money that the student earned per day for the 20 days? 1.$96
2. $84 3.$80
4. $70 5.$48

- Brajesh
Current Student
Joined: 28 Dec 2004
Posts: 3385
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 208 [0], given: 2

guys..please show working..is there a quick way to do these type of problems...i cant possibly thnk you would actually add the numbers up and divide by 20??
Current Student
Joined: 28 Dec 2004
Posts: 3385
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 208 [0], given: 2

my quick way of doing this..

4(96)+7(84)+4(80)+3(70)+2(48)

4(96+80)+7(84)+3(70)

so i basically list the numbers by their frequency

70 70 70 80 80 80 80 84......84(7 times) 96 96 96 96

clearly the median has to be the middle two numbers, which are 84 and 84

(84+84)/2=84

Director
Joined: 03 May 2007
Posts: 886
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 101 [0], given: 7

fresinha12 wrote:
guys..please show working..is there a quick way to do these type of problems...i cant possibly thnk you would actually add the numbers up and divide by 20??

= (20+1)/2 =10.5

so the average between the values of 10th day and 11th day is the median.
10th day value = 84
11th day value = 84
so average of these two = 84

its so quick. took less than 10 sec.
Senior Manager
Joined: 27 Aug 2007
Posts: 253
Followers: 1

Kudos [?]: 11 [0], given: 0

The quickest way to solve it, in my opinion, shown by Fistail. Though you have to order the numbers viusally, I mean just count which is 10.5 in row.

Ans: B:84
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5063
Location: Singapore
Followers: 26

Kudos [?]: 237 [0], given: 0

Since we have even number of elements (days), the median is the mean of the 10th and 11th element. From the chart, we know this is $84 since both 10th and 11th element is$84.
Director
Joined: 17 Sep 2005
Posts: 924
Followers: 3

Kudos [?]: 53 [0], given: 0

OA is B.

Thanks,
Brajesh
Manager
Joined: 29 Aug 2007
Posts: 110
Followers: 1

Kudos [?]: 3 [0], given: 0

Median of a list of numbers is the mid point.

Median = 84
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