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Why Is the Mode Sometimes More Informative Than the Mean or Median?

The mode can be a lot more helpful than the mean or median in some cases. This is especially true when we’re looking at categories or when the data is uneven.

Easy with Categories
Let's say we have a survey about favorite colors. The mode shows us which color is the most popular. When we try to find out what people like, knowing the most liked color (the mode) makes more sense than trying to find an average (mean) or middle value (median) because those don’t really help us with categories like colors.

Effect of Outliers
The mean can change a lot if there are outliers, which are values that are much higher or lower than the rest. For example, think about a group of people where most earn between 40,000and40,000 and 60,000, but one person makes 1,000,000.Themeanincomewouldlookveryhighandwouldntrepresentwhatmostpeopleearn.Ontheotherhand,themodemighttellusthat1,000,000. The mean income would look very high and wouldn’t represent what most people earn. On the other hand, the mode might tell us that 55,000 is the most common income, giving a better idea of what people actually earn in that community.

Getting to Know Distributions
In some datasets, there can be more than one mode. This is called a multimodal distribution. For instance, if we look at test scores and see two modes at 85and85 and 95, it might mean there are two different groups of students who did well in different ways. In these cases, focusing on the mode helps us spot patterns that the mean or median might hide.

In summary, using the mode is really helpful when dealing with uneven data or categories that aren’t numbers. It shows us the most common answer, which makes it an important tool in understanding statistics.

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Descriptive Statistics for University StatisticsInferential Statistics for University StatisticsProbability for University Statistics
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Why Is the Mode Sometimes More Informative Than the Mean or Median?

The mode can be a lot more helpful than the mean or median in some cases. This is especially true when we’re looking at categories or when the data is uneven.

Easy with Categories
Let's say we have a survey about favorite colors. The mode shows us which color is the most popular. When we try to find out what people like, knowing the most liked color (the mode) makes more sense than trying to find an average (mean) or middle value (median) because those don’t really help us with categories like colors.

Effect of Outliers
The mean can change a lot if there are outliers, which are values that are much higher or lower than the rest. For example, think about a group of people where most earn between 40,000and40,000 and 60,000, but one person makes 1,000,000.Themeanincomewouldlookveryhighandwouldntrepresentwhatmostpeopleearn.Ontheotherhand,themodemighttellusthat1,000,000. The mean income would look very high and wouldn’t represent what most people earn. On the other hand, the mode might tell us that 55,000 is the most common income, giving a better idea of what people actually earn in that community.

Getting to Know Distributions
In some datasets, there can be more than one mode. This is called a multimodal distribution. For instance, if we look at test scores and see two modes at 85and85 and 95, it might mean there are two different groups of students who did well in different ways. In these cases, focusing on the mode helps us spot patterns that the mean or median might hide.

In summary, using the mode is really helpful when dealing with uneven data or categories that aren’t numbers. It shows us the most common answer, which makes it an important tool in understanding statistics.

Related articles