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

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In summary, MJM73 is working on a boxplot question that is puzzling. The question is whether there are more men being paid more than £32,000 than men being paid less than £32,000. MJM73 is leaning towards it not being possible to make this judgement due to the position of the mean. The long left hand whisker only illustrates the spread of data. They are seeking help to better understand the problem. In this situation, it may be helpful to consider using percentiles and understanding the information conveyed by the median.
  • #1
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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  • #2
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?
 

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

What is the median?

The median is the middle value in a set of numbers. It divides the data into two equal parts, where half of the values are above the median and half are below.

How is the median calculated?

To calculate the median, the data must first be arranged in numerical order. If there is an odd number of values, the median is the middle value. If there is an even number of values, the median is the average of the two middle values.

What does a median of £32,000 mean?

A median of £32,000 means that half of the men being paid in the dataset earn more than £32,000 and the other half earn less than £32,000.

Why is the median used instead of the mean?

The median is often used instead of the mean because it is not affected by extreme values or outliers in the data. This makes it a more reliable measure of central tendency in skewed or asymmetric distributions.

Can the median be used to compare two different datasets?

Yes, the median can be used to compare two different datasets. It is a useful measure for comparing the central tendencies of two datasets that have different distributions or contain outliers.

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