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# The line plot shows the minutes waited in line by 20 customers at a co

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Math Expert
Joined: 02 Sep 2009
Posts: 58473
The line plot shows the minutes waited in line by 20 customers at a co  [#permalink]

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29 Mar 2018, 23:37
00:00

Difficulty:

65% (hard)

Question Stats:

52% (03:11) correct 48% (03:04) wrong based on 35 sessions

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The line plot shows the minutes waited in line by 20 customers at a coffee shop. What is the difference, in minutes, between the median and the mean of the data?

(A) 0 8.
(B) 0 2.
(C) 0
(D) 0.2
(E) 0.8

Attachment:

2018-03-30_1036.png [ 21.51 KiB | Viewed 556 times ]

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Joined: 27 Oct 2017
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Location: India
GPA: 3.64
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The line plot shows the minutes waited in line by 20 customers at a co  [#permalink]

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Updated on: 30 Mar 2018, 03:46
Total number of customers = no of points =20.
Median = mean of 10th and 11 th value = (14+15)/2 =14.5
Mean =(5*1+8*2+10*2+12*1+13*2+14*2+15*5+17*2+19*2+20*1)/20 =13.7

Difference between median and mean = 14.5-13.7 = 0.8

Posted from my mobile device
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Originally posted by gmatbusters on 30 Mar 2018, 00:28.
Last edited by gmatbusters on 30 Mar 2018, 03:46, edited 1 time in total.
Current Student
Joined: 07 Jan 2016
Posts: 1083
Location: India
GMAT 1: 710 Q49 V36
Re: The line plot shows the minutes waited in line by 20 customers at a co  [#permalink]

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30 Mar 2018, 00:30
Bunuel wrote:

The line plot shows the minutes waited in line by 20 customers at a coffee shop. What is the difference, in minutes, between the median and the mean of the data?

(A) 0 8.
(B) 0 2.
(C) 0
(D) 0.2
(E) 0.8

Attachment:
2018-03-30_1036.png

median = 14+15/2 = 14.5

mean = (5+16+20+12+26+28+75+34+38+20)/20=13.7

0.8
Current Student
Joined: 07 Jan 2016
Posts: 1083
Location: India
GMAT 1: 710 Q49 V36
Re: The line plot shows the minutes waited in line by 20 customers at a co  [#permalink]

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30 Mar 2018, 00:34
gmatbusters wrote:
Total number of customers = no of points =20.
Median = mean of 10th and 11 th value = (14+15)/2 =14.5
Mean =(5*1+8*2+10*2+12*1+13*2+14*2+15*5+17*2+19*2+20*1)/20 =13.7

Difference between median and mean = 14.5-13.7 = 0.8

Posted from my mobile device

0.8 is option E

check again
Retired Moderator
Joined: 27 Oct 2017
Posts: 1263
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: The line plot shows the minutes waited in line by 20 customers at a co  [#permalink]

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30 Mar 2018, 03:47
That was a typo, thanks for pointing out.

Hatakekakashi wrote:
gmatbusters wrote:
Total number of customers = no of points =20.
Median = mean of 10th and 11 th value = (14+15)/2 =14.5
Mean =(5*1+8*2+10*2+12*1+13*2+14*2+15*5+17*2+19*2+20*1)/20 =13.7

Difference between median and mean = 14.5-13.7 = 0.8

Posted from my mobile device

0.8 is option E

check again

Posted from my mobile device
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Re: The line plot shows the minutes waited in line by 20 customers at a co   [#permalink] 30 Mar 2018, 03:47
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