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

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SUMMARY

The discussion centers on analyzing a boxplot to determine the distribution of men's salaries relative to the £32,000 threshold. Participants emphasize the importance of understanding percentiles and the median in interpreting the data. The long left-hand whisker in the boxplot indicates the spread of salaries below the median, suggesting that conclusions about the number of men earning above or below £32,000 cannot be definitively drawn without further statistical analysis.

PREREQUISITES
  • Understanding of boxplot interpretation
  • Knowledge of median and percentiles in statistics
  • Familiarity with salary distribution analysis
  • Basic statistical concepts related to data spread
NEXT STEPS
  • Research how to interpret boxplots in salary data analysis
  • Learn about calculating and interpreting percentiles
  • Study the implications of median versus mean in salary distributions
  • Explore statistical methods for analyzing salary data trends
USEFUL FOR

This discussion is beneficial for data analysts, statisticians, and anyone involved in salary analysis or economic research, particularly those focusing on gender pay disparities.

MJM73
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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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