Spread and Shape of a Distribution

What is the effect of a high outlier on the range of a data set?

• It decreases the range.

• It increases the range.

• It has no effect on the range.

• It halves the range.

Given that the data is symmetric, which pair of measures should be used to represent the data?

• center: median

  spread: standard deviation

• center: mean

  spread: IQR

• center: mean

  spread: standard deviation

• center: median

  spread: IQR

Which of the following best describes the shape of the distribution?

• skewed left

• skewed right

• uniform

• symmetrical

Find the IQR of the distribution.

(only type in the number)

(a)  

The distribution shown is symmetric and we should use the mean and the standard deviation to describe the center and spread.

• True

• False

This distribution is skewed to the (a)   .

Find the interquartile range?

• 8

• 6

• 5

• 4

The IQR is the

• max - min

• Interquartile Range

• measure of spread that pairs with the mean

• Q₃ - Q₁

Which distribution has a larger Interquartile Range?

(a)  

Which distribution has the largest median?

(a)