Question

Of the range, the interquartile range, and the variance, the interquartile range is most influenced by an outlying value in the data set.

A. True
B. False

Answer 1

Option B) False

Explanation:

We define the following terms:

Range:

It is the difference between the minimum and maximum value of data.

It is effected by presence of outliers.

Interquartile range:

It is the difference between the third quartile and the first quartile of data.

Variance:

`\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n}`

where
`x_i` are data points,
`\bar{x}` is the mean and n is the number of observations.

It is a measure of spread of the data. It is effected by presence of outliers as they increase the variation in the data.

Thus, the given statement is false.