Question

which of the following are true regarding the data sets above? i. the first competitions distribution is skewed left, and the last competitions distribution is skewed left. ii. the first competitions distribution is skewed right, and the last competitions distribution is skewed right. iii. the first competitions distribution is skewed left, and the last competitions distribution is skewed right. iv the first competitions distribution is skewed right, and the last competitions distribution is skewed left. v. the data set for the first competition contains an outlier. a. i only b. i and v c. ii and v d. ii only

Explanation:

Step1: Recall skewness definition

Skewed - left has a long left - tail, skewed - right has a long right - tail.

Step2: Analyze first competition's distribution

The first competition's distribution has a long right - tail, so it is skewed right.

Step3: Analyze last competition's distribution

The last competition's distribution has a long left - tail, so it is skewed left.

Step4: Check for outliers

There is no value that is extremely far from the rest in the first competition's data set, so no outlier.

Answer:

D. II only