Question

The heights of plants, in inches, are 13, 4, 6, 9, 11, 23, and 7. Which measure is most affected by the extreme value?

Answer 1

Using statistical concepts, it is found that the mean is most affected by extreme values.

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• The mean of a data-set is the sum of all values divided by the number of values, and thus, if an extreme measure is included in the data-set, it will be included in the calculation of the mean.
• The median is the measure that separates the upper 50% of the data-set from the lower 50%. If an outlier is included, it may have an small effect on the data-set, as the value of the middle may change, but the change will be small compared to the mean, thus, the mean is most affected.

A similar problem is given at brainly.com/question/14455456