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555-605 Level|   Graphs|            
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Sajjad1994
Official Explanation

RO1

Because there are eleven employees represented by the graph, each with a job satisfaction rating, the median job satisfaction rating will be the sixth value when listed from least to greatest. Thus, the employee with the median rating is represented by the dot at a job satisfaction rating of 55. The salary associated with this dot is 42% of the median salary, indicating that the employee’s salary is less than the median.

The correct answer is less than.

RO2

Because the graph gives salary as a percent of the median salary, 100% is the median. There is only one dot at the 100% salary level, and that dot is associated with a job satisfaction rating of 60. As explained in the analysis of RO1, the median job satisfaction rating is 55. Thus, the employee with the median salary has a job satisfaction rating greater than the median (60 > 55).

The correct answer is greater than.

Hi could you help me explain a bit more for the first question please.

As you said “each employee has a job satisfaction rating, the median job satisfaction rating will be the sixth value when listed from least to greatest”
But when I look at the graph there are some employees have the same job satisfaction.
So I got the list: 30,40,45,50,55,60,75,80,85.
Hence I can not understand why the median is 55. Moreover, the gaps between some digits are different, so how can I determine the median? I mean if I have a list: 30 40 50 60 70 I know that the median is 50. But I’m not sure for this situation.

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phuongdungnguyen
Sajjad1994
Official Explanation

RO1

Because there are eleven employees represented by the graph, each with a job satisfaction rating, the median job satisfaction rating will be the sixth value when listed from least to greatest. Thus, the employee with the median rating is represented by the dot at a job satisfaction rating of 55. The salary associated with this dot is 42% of the median salary, indicating that the employee’s salary is less than the median.

The correct answer is less than.

RO2

Because the graph gives salary as a percent of the median salary, 100% is the median. There is only one dot at the 100% salary level, and that dot is associated with a job satisfaction rating of 60. As explained in the analysis of RO1, the median job satisfaction rating is 55. Thus, the employee with the median salary has a job satisfaction rating greater than the median (60 > 55).

The correct answer is greater than.

Hi could you help me explain a bit more for the first question please.

As you said “each employee has a job satisfaction rating, the median job satisfaction rating will be the sixth value when listed from least to greatest”
But when I look at the graph there are some employees have the same job satisfaction.
So I got the list: 30,40,45,50,55,60,75,80,85.
Hence I can not understand why the median is 55. Moreover, the gaps between some digits are different, so how can I determine the median? I mean if I have a list: 30 40 50 60 70 I know that the median is 50. But I’m not sure for this situation.

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Hi,

Whatever be the readings, they have to be put in increasing order. If some are repeated, those have to be written that many times.
So here, there are 11 readings, and the median(Center value) will be the 6th value, as there will be 5 readings on either side.

Secondly, median does not depend on how the values are spread. It is just the middle value.
1,2,90,90,91 or 70,80,90,100,110 will have median as 90.
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chetan2u
phuongdungnguyen
Sajjad1994
Official Explanation

RO1

Because there are eleven employees represented by the graph, each with a job satisfaction rating, the median job satisfaction rating will be the sixth value when listed from least to greatest. Thus, the employee with the median rating is represented by the dot at a job satisfaction rating of 55. The salary associated with this dot is 42% of the median salary, indicating that the employee’s salary is less than the median.

The correct answer is less than.

RO2

Because the graph gives salary as a percent of the median salary, 100% is the median. There is only one dot at the 100% salary level, and that dot is associated with a job satisfaction rating of 60. As explained in the analysis of RO1, the median job satisfaction rating is 55. Thus, the employee with the median salary has a job satisfaction rating greater than the median (60 > 55).

The correct answer is greater than.

Hi could you help me explain a bit more for the first question please.

As you said “each employee has a job satisfaction rating, the median job satisfaction rating will be the sixth value when listed from least to greatest”
But when I look at the graph there are some employees have the same job satisfaction.
So I got the list: 30,40,45,50,55,60,75,80,85.
Hence I can not understand why the median is 55. Moreover, the gaps between some digits are different, so how can I determine the median? I mean if I have a list: 30 40 50 60 70 I know that the median is 50. But I’m not sure for this situation.

Posted from my mobile device

Hi,

Whatever be the readings, they have to be put in increasing order. If some are repeated, those have to be written that many times.
So here, there are 11 readings, and the median(Center value) will be the 6th value, as there will be 5 readings on either side.

Secondly, median does not depend on how the values are spread. It is just the middle value.
1,2,90,90,91 or 70,80,90,100,110 will have median as 90.
I understood. Thank you so much for your explanation
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Sajjad1994
Official Explanation

RO1

Because there are eleven employees represented by the graph, each with a job satisfaction rating, the median job satisfaction rating will be the sixth value when listed from least to greatest. Thus, the employee with the median rating is represented by the dot at a job satisfaction rating of 55. The salary associated with this dot is 42% of the median salary, indicating that the employee’s salary is less than the median.

The correct answer is less than.

RO2

Because the graph gives salary as a percent of the median salary, 100% is the median. There is only one dot at the 100% salary level, and that dot is associated with a job satisfaction rating of 60. As explained in the analysis of RO1, the median job satisfaction rating is 55. Thus, the employee with the median salary has a job satisfaction rating greater than the median (60 > 55).

The correct answer is greater than.
­
Could you please explain this "Because the graph gives salary as a percent of the median salary, 100% is the median", or should I write it down all the number of percent of the median salary to see if it is 100%? 
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cocowip
Sajjad1994
Official Explanation

RO1

Because there are eleven employees represented by the graph, each with a job satisfaction rating, the median job satisfaction rating will be the sixth value when listed from least to greatest. Thus, the employee with the median rating is represented by the dot at a job satisfaction rating of 55. The salary associated with this dot is 42% of the median salary, indicating that the employee’s salary is less than the median.

The correct answer is less than.

RO2

Because the graph gives salary as a percent of the median salary, 100% is the median. There is only one dot at the 100% salary level, and that dot is associated with a job satisfaction rating of 60. As explained in the analysis of RO1, the median job satisfaction rating is 55. Thus, the employee with the median salary has a job satisfaction rating greater than the median (60 > 55).

The correct answer is greater than.
­
Could you please explain this "Because the graph gives salary as a percent of the median salary, 100% is the median", or should I write it down all the number of percent of the median salary to see if it is 100%? 
­Median salary will be the one that is ahown on 100% line.
Other way to look is that the 11 salaries are given as point, so the centermost point that is 6th from either side is the median, and you would see that this turns out, logically too, be the 100% of median salary itself.
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chetan2u GMATinsight , whhy did you say the median salary is 100% ? Did you arrange them in order ? Can you kindly specify if you applied any other logic ?
like..45% , 60% , 70% , 80% , 90% , 100% ( 6th value in order and hence median ) ..
chetan2u
cocowip
Sajjad1994
Official Explanation

RO1

Because there are eleven employees represented by the graph, each with a job satisfaction rating, the median job satisfaction rating will be the sixth value when listed from least to greatest. Thus, the employee with the median rating is represented by the dot at a job satisfaction rating of 55. The salary associated with this dot is 42% of the median salary, indicating that the employee’s salary is less than the median.

The correct answer is less than.

RO2

Because the graph gives salary as a percent of the median salary, 100% is the median. There is only one dot at the 100% salary level, and that dot is associated with a job satisfaction rating of 60. As explained in the analysis of RO1, the median job satisfaction rating is 55. Thus, the employee with the median salary has a job satisfaction rating greater than the median (60 > 55).

The correct answer is greater than.
­
Could you please explain this "Because the graph gives salary as a percent of the median salary, 100% is the median", or should I write it down all the number of percent of the median salary to see if it is 100%? 
­Median salary will be the one that is ahown on 100% line.
Other way to look is that the 11 salaries are given as point, so the centermost point that is 6th from either side is the median, and you would see that this turns out, logically too, be the 100% of median salary itself.
­
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sayan640
chetan2u GMATinsight , whhy did you say the median salary is 100% ? Did you arrange them in order ? Can you kindly specify if you applied any other logic ?
like..45% , 60% , 70% , 80% , 90% , 100% ( 6th value in order and hence median ) ..
chetan2u
cocowip
Could you please explain this "Because the graph gives salary as a percent of the median salary, 100% is the median", or should I write it down all the number of percent of the median salary to see if it is 100%? 
­Median salary will be the one that is ahown on 100% line.
Other way to look is that the 11 salaries are given as point, so the centermost point that is 6th from either side is the median, and you would see that this turns out, logically too, be the 100% of median salary itself.
­
­If X is 100% of median salary => X = 100% of median salary = median salary as 100% of anything is equal to that thing. 
100% of 20 is 20, 100% of 100 is 100, 100% of 1,000,000 is 1,000,000, 100% of median salary is median salary and so on.­
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Lol...That is so simple...Thank you..
chetan2u
chetan2u GMATinsight , whhy did you say the median salary is 100% ? Did you arrange them in order ? Can you kindly specify if you applied any other logic ?
like..45% , 60% , 70% , 80% , 90% , 100% ( 6th value in order and hence median ) ..
chetan2u
cocowip
Could you please explain this "Because the graph gives salary as a percent of the median salary, 100% is the median", or should I write it down all the number of percent of the median salary to see if it is 100%? 
­Median salary will be the one that is ahown on 100% line.
Other way to look is that the 11 salaries are given as point, so the centermost point that is 6th from either side is the median, and you would see that this turns out, logically too, be the 100% of median salary itself.
­
­If X is 100% of median salary => X = 100% of median salary = median salary as 100% of anything is equal to that thing. 
100% of 20 is 20, 100% of 100 is 100, 100% of 1,000,000 is 1,000,000, 100% of median salary is median salary and so on.­[/quote]

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