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A student worked 20 days. For each of the amount shown in

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A student worked 20 days. For each of the amount shown in [#permalink] New post 23 Oct 2005, 10:24
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A student worked 20 days. For each of the amount shown in the first row of the table, second row gives the number of days the student earned that amount. Median amount of money earned per day for 20 days is?

A. 96
B. 84
C. 80
D. 70
E. 48
[Reveal] Spoiler: OA

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Last edited by Bunuel on 27 Feb 2013, 02:37, edited 2 times in total.
Edited the question and added the OA
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 [#permalink] New post 23 Oct 2005, 10:28
2) 84

Avg of 10th & 11th number in the sequence
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Re: PS: Median [#permalink] New post 23 Oct 2005, 10:50
median day = (20+1)/2 = 10.5 th day on which the amount of money earned was 84.
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Re: A student worked 20 days. For each of the amount shown (see [#permalink] New post 05 Mar 2012, 07:58
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Arrange the amount in ascending order

48 - 2
70 - 3
80 - 4
84 - 7
96 - 4

Median = (Amount in 10th day+Amount in 11th Day)/2

= (84+84)/2
=84

B
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Re: A student worked 20 days. For each of the amount shown (see [#permalink] New post 05 Mar 2012, 08:16
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Expert's post
ENAFEX wrote:
Arrange the amount in ascending order

48 - 2
70 - 3
80 - 4
84 - 7
96 - 4

Median = (Amount in 10th day+Amount in 11th Day)/2

= (84+84)/2
=84

B


A student worked 20 days. For each of the amount shown in the first row of the table, second row gives the number of days the student earned that amount. Median amount of money earned per day for 20 days is?
A. 96
B. 84
C. 80
D. 70
E. 48

A student worked 20 days.

The median of a set with even number of terms is the average of the two middle terms when arranged in ascending or descending order. Since the data (amount earned per day) is already arranged in descending order there is no need to rearrange it.

The median will be the average of the 10th and 11th values (either in ascending or descending order) --> both of those values are 84 --> the median is (84+84)/2.

Answer: B.
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Re: A student worked 20 days. For each of the amount shown in [#permalink] New post 05 Mar 2012, 09:22
Expert.. :-) Thanks Bunuel. I didn't notice that at all.. Got used to arranging a group in ascending order. :D
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PS gmat prep [#permalink] New post 08 Apr 2012, 02:04
amount earned per day $96 $84 $80 $70 $48
number of days 4 7 4 3 2

A student worked for 20 days. For 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


Anyone please explain this question.
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Re: PS gmat prep [#permalink] New post 08 Apr 2012, 02:33
Expert's post
piyushksharma wrote:
amount earned per day $96 $84 $80 $70 $48
number of days 4 7 4 3 2

A student worked for 20 days. For 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


Anyone please explain this question.


Merging similar topics. Please ask if anything remains unclear.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: A student worked 20 days. For each of the amount shown in [#permalink] New post 30 May 2012, 10:53
Just in case,if the question would have asked for mean it would be $80? Please confirm.Thanks!
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Re: A student worked 20 days. For each of the amount shown in [#permalink] New post 03 Feb 2014, 09:43
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For people who want a make this one a "Quickie"

Look at the values given:

48 - 2
70 - 3
80 - 4
84 - 7
96 - 4

Both the highest values (84 and 96) have largest no. of days associated with them(7 and 4). Hence, your immediate reaction should be that the median is going to heavily lean towards the higher values. Now look at the options:

1)$96
2)$84
3)$80
4)$70
5)$48

It is obvious that it cannot be either of 96,48 (or) if you think about it even 70. The only decision now is between 84 and 80. Now out of these two 84 leans more towards the highest values and also has 7 days assigned to it. So........


P.S: Only meant for scenarios wherein you desperately want a " Quickie "
Re: A student worked 20 days. For each of the amount shown in   [#permalink] 03 Feb 2014, 09:43
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