To determine which resort should be awarded, we need to compare their overall performance based on the average customer ratings provided. A higher average rating generally indicates better customer satisfaction over time.

First, let's calculate the average rating for each resort over the five years:

1. Sunny Bunny Resort:

   Ratings: $4.75, 2.5, 3.5, 4, 1.5$

   Sum of ratings = $4.75 + 2.5 + 3.5 + 4 + 1.5 = 16.25$

   Average rating = $\frac{16.25}{5} = 3.25$

2. Happy Lucky Resort:

   Ratings: $3, 4, 2.5, 2, 4.5$

   Sum of ratings = $3 + 4 + 2.5 + 2 + 4.5 = 16$

   Average rating = $\frac{16}{5} = 3.20$

3. Breezy Windy Resort:

   Ratings: $4.5, 2, 3, 3.5, 1$

   Sum of ratings = $4.5 + 2 + 3 + 3.5 + 1 = 14$

   Average rating = $\frac{14}{5} = 2.80$

Comparing the average ratings:

• Sunny Bunny Resort: $3.25$
• Happy Lucky Resort: $3.20$
• Breezy Windy Resort: $2.80$

Based on the average ratings, Sunny Bunny Resort has the highest overall average.

We can also consider the consistency of ratings, which is often visualized using a boxplot (as mentioned in the context of Program 4-15).

Let's look at the median and range for each resort:

• Sunny Bunny Resort:

  Sorted ratings: $1.5, 2.5, 3.5, 4, 4.75$

  Median = $3.5$

  Range = $4.75 - 1.5 = 3.25$

• Happy Lucky Resort:

  Sorted ratings: $2, 2.5, 3, 4, 4.5$

  Median = $3$

  Range = $4.5 - 2 = 2.5$

• Breezy Windy Resort:

  Sorted ratings: $1, 2, 3, 3.5, 4.5$

  Median = $3$

  Range = $4.5 - 1 = 3.5$

Reasons for awarding Sunny Bunny Resort:

1. Highest Average Rating: Sunny Bunny Resort has the highest average customer rating of $3.25$ over the five-year period, indicating the best overall customer satisfaction. …

When evaluating performance over time, especially with customer ratings, a common and effective approach is to calculate the average rating. This provides a single, representative value that summarizes the overall performance of each resort across all the given years. By comparing these averages, we can identify which resort has, on average, received the best feedback from its customers.

Here is the given data:

To decide which resort should be awarded, we will calculate the average rating for each resort over the five years.

Calculations

1. Sunny Bunny Resort

   The ratings for Sunny Bunny Resort are $4.75, 2.5, 3.5, 4,$ and $1.5$.

   Sum of ratings $= 4.75 + 2.5 + 3.5 + 4 + 1.5 = 16.25$

   Average rating $= \frac{16.25}{5} = 3.25$

2. Happy Lucky Resort

   The ratings for Happy Lucky Resort are $3, 4, 2.5, 2,$ and $4.5$.

   Sum of ratings $= 3 + 4 + 2.5 + 2 + 4.5 = 16$

   Average rating $= \frac{16}{5} = 3.20$

3. Breezy Windy Resort

   The ratings for Breezy Windy Resort are $4.5, 2, 3, 3.5,$ and $1$.

   Sum of ratings $= 4.5 + 2 + 3 + 3.5 + 1 = 14$

   Average rating $= \frac{14}{5} = 2.80$

Comparison and Recommendation

Let's compare the calculated average ratings:

• Sunny Bunny Resort: $3.25$
• Happy Lucky Resort: $3.20$
• Breezy Windy Resort: $2.80$ …