Lucilla wondered what the average weight of each grapefruit was in a five-pound bag of grapefruits. She purchased six bags and calculated the average weight for a single grapefruit in each bag.

\begin{tabular}{|c|c|}
\hline
Bag of Grapefruits & \begin{tabular}{c}
Average Grapefruit Weight \\
(oz)
\end{tabular} \\
\hline
1 & 7.1 \\
\hline
2 & 6.9 \\
\hline
3 & 7.3 \\
\hline
4 & 7.6 \\
\hline
5 & 8.1 \\
\hline
6 & 7.5 \\
\hline
\end{tabular}

Using her results, a grapefruit from a five-pound bag of grapefruits should weigh between:

A. 7.3 oz and 7.6 oz
B. 7.1 oz and 7.5 oz
C. 6.9 oz and 8.1 oz



Answer :

To determine the range for the average weight of a grapefruit in each five-pound bag, we need to identify the minimum and maximum average weights among the given data.

Here's a step-by-step solution:

1. List the average weights of grapefruits in each bag:
- Bag 1: 7.1 oz
- Bag 2: 6.9 oz
- Bag 3: 7.3 oz
- Bag 4: 7.6 oz
- Bag 5: 8.1 oz
- Bag 6: 7.5 oz

2. Identify the minimum average weight:
In the list of weights [7.1, 6.9, 7.3, 7.6, 8.1, 7.5], the smallest value is 6.9 oz.

3. Identify the maximum average weight:
In the same list of weights, the largest value is 8.1 oz.

4. Determine the range for the average weight of a grapefruit in these bags:
The weight ranges from the minimum value of 6.9 oz to the maximum value of 8.1 oz.

Thus, using the results from Lucilla's calculations, the average weight of a grapefruit in a five-pound bag should be between 6.9 oz and 8.1 oz. Therefore, the correct answer is:

6.9 oz and 8.1 oz.