MHB Median: Are there more men being paid more than £32,000 or less than £32,000?

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The discussion revolves around analyzing a boxplot to determine if more men earn above or below £32,000. The initial poster expresses uncertainty, suggesting that the position of the mean complicates the judgment. A response highlights the importance of understanding percentiles and the median's role in interpreting the data. The conversation emphasizes the need to clarify how the median can inform conclusions about income distribution. Understanding these statistical concepts is crucial for accurate analysis.
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I'm working on a boxplot question that is puzzling.

View attachment 8998The problems is asking whether there are more men being paid more than £32 000 than men
being paid less than £32 000. I'm leaning to saying that its not possible to make this judgement due to the position of mean. All the long left hand whisker is illustrating is the spread of data.\

If someone could help me understand it would be much appreciated.
MJM
 

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MJM73 said:
I'm working on a boxplot question that is puzzling.

The problems is asking whether there are more men being paid more than £32 000 than men
being paid less than £32 000. I'm leaning to saying that its not possible to make this judgement due to the position of mean. All the long left hand whisker is illustrating is the spread of data.\

If someone could help me understand it would be much appreciated.
MJM

Hi MJM73,

Welcome to MHB! :)

In this problem I think we are going to be looking at percentiles. What does the median tell you about this data? How would you word the information from the median here?
 
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