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Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.)1, 6, 8, 8, 8meanrangemedianmode

Sagot :

Answer

mean

range

Step-by-step explanation

An outlier is an observation that lies an abnormal distance from the other values.

In the set of data:

[tex]1,6,8,8,8[/tex]

the outlier is 1.

Given that the mean is the average between all values in the dataset, then if the outlier is removed, the mean changes.

The range is calculated as follows:

[tex]range=maximum-minimum[/tex]

If 1 is removed, the minimum changes, and in consequence, the range also changes.

The median is the middle number in a sequence of numbers. In this case, we have:

The median is 8 in both cases.

The mode is the value that appears most often in a set of data values. The mode of the original dataset is 8, and if the outlier is removed, the median remains the same.

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