Question

Data are collected about the amount of time, in minutes, each band member spends practicing. How does a single outlier change the lower and upper quartiles of the collected data? A single outlier causes the values of the quartiles to move slightly toward each other. A single outlier causes the values of the quartiles to move slightly away from the outlier. A single outlier doubles the values of the quartiles. A single outlier does not affect the values of the quartiles.

Answer 1

It does not affect the value of the quartiles.

Explanation:

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Answer 2

A single outlier does not affect the values of the quartiles.

Explanation:

The interquartile range (IQR) is the difference between the upper (Q3) and lower (Q1) quartiles,

This IQR described the middle 50% of values when ordered from lowest to highest or from the highest to the lowest.

The IQR is considered as a better measure of spread than the range as it is not affected by outliers.

Thus we see that a single outlier does not affect the values of the quartiles.