Q 60. - The Practice of Statistics for AP

Question

Paying for championships Refer to Exercise $59$. Here is another graph of the $2008$ salary distributions for the Yankees and the Phillies. Write a few sentences comparing these two distributions. 

Step-by-Step Solution

Answer

Shape: both distributions are right-skewed.

Center: Phillies is smaller than the Yankees.

Spread: Phillies is smaller than the Yankees.

Step 1: Given information

Step 2: Concept

A histogram is a graphing tool that is frequently used. It's used to summarise data that's either discrete or continuous and measured on an interval scale. It's a popular way of exhibiting key data distribution properties in a user-friendly way. 

Step 3: Explanation

The following graph depicts the salary distributions for the Yankees and Phillies in $2008$: 

The histograms of salary distribution for the two teams during the $2008$ season demonstrate that both are skewed to the right, although the Yankees' distribution has a wider range than the Phillies'. The Yankees' spread ranges from $0$ to $32000000$while the Phillies' range from 0 to $16000000$Both the Yankees and the Phillies have had peaks in the range of 0 to 4000000. The graph reveals that the bulk of Phillies' salaries are less than $8000000$ with only a handful exceeding $8000000$ whereas the Yankees' salaries range from $12000000$ to $16000000$ with several exceeding $3200000$ Therefore, Shape: both distributions are right-skewed.

Center: Phillies are smaller than the Yankees.

Spread: Phillies are smaller than the Yankees.