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Outliers are observations that are unusually large or unusually small. There is no universally agreed definition but values smaller than Q1 - 1.5*IQR or larger than Q3 + 1.5IQR are normally considered outliers. Q1 and Q3 are the lower and upper quartiles and Q3-Q1 is the inter quartile range, IQR.

Outliers distort the mean but cannot affect the median. If it distorts the median, then most of the data are rubbish and the data set should be examined thoroughly.

Outliers will distort measures of dispersion, and higher moments, such as the variance, standard deviation, skewness, kurtosis etc but again, will not affect the IQR except in very extreme conditions.

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โˆ™ 2012-09-18 15:29:55
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Q: What are outliers and how do they affect data?
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Related questions

Does outliers affects data?

No. Outliers are part of the data and do not affect them. They will, however, affect statistics based on the data and inferences based on the data.

Can outliers affect the symmetry of the data?

an outliers can affect the symmetry of the data because u can still move around it

Can there be 2 outliers in a set of data?

There is no limit to the number of outliers there can be in a set of data.

How does the outlier effect the data?

Outlier: an observation that is very different from the rest of the data.How does this affect the data: outliers affect data because it means that your calculations might be off which makes it a possibility that more than the outlier is off.

Is the median particularly sensitive to outliers in the data?

It is not.

What is the term that is used to describe data that does not fit with the rest of the data?


Can their be two outliers in math?

Of course. In a large sampling of data, a relatively small group of outliers is possible.

Do they have outliers in a data set?

If the data numbers are all really close together than no. But if the data has numbers; for example: 12,43,45,51,57,62,90 (12 and 90 are the outliers) which are really far aprt, than yes.

How do you Create a box plot of data that does not have any outliers?

Go into your data to determine which values are outliers and if they're significant and random (not an apparent group), eliminate them. This will take them out of your boxplot.

What data that does not fit well with the rest of a data set.?

They are called extreme values or outliers.

When the median and mean are substantially different what does that tell you about the data?

I think it means that our data includes outliers.

When is each measure of central tendency most useful?

Mode: Data are qualitative or categoric. Median: Quantitative data with outliers - particularly if the distribution is skew. Mean: Quantitative data without outliers, or else approx symmetrical.

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