Question

If a data set has only one outlier, which value will always change when the outlier is excluded? the median the range the interquartile range the upper quartile

Answer 1

Answer:

The range of the data set will be changed when we exclude an outlier from the data set.

Step-by-step explanation:

We know that the range of a data set is the difference of the maximum and the least i.e. minimum data value.

We know that a outlier is the value that stand out form the rest of the value i.e. either it is a too high or too low value as compared to other data values.

This means that the range is higher as the difference will be more.

Hence, when this outlier is removed the difference will get less and hence the range of the data set will be affected.

Answer 2

Out of the given 4 values i.e. range, median, interquartile range, and upper quartile, the range will always change when the outlier is excluded.

What is an outlier?

An outlier is a data point that differs significantly from other observations.

We know that range of a dataset is the difference between the maximum and minimum value.

Outlier will have either the maximum value or minimum value in a particular dataset so this will change the range significantly when it is excluded.

For example, if we have dataset as:

3,5,7,4,6,9,5,4,20

Outlier=20

Range = 20-3 =17

When outlier is excluded

Range = 9-3 =6

6<<17

Thus, the range will always change when the outlier is excluded.

To get more about outlier visit:

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