Question
The table shows the diameters in inches of a random sample of 10 tomatoes sold by two supermarket chains. Diameters (inches) Supermarket Chain A 3.2, 2.7, 2.9, 2.9, 3.0, 2.5, 2.7, 3.1, 2.8, 2.5 Supermarket Chain B 2.6, 3.0, 2.2, 2.4, 2.9, 2.5, 2.1, 2.3, 2.1, 2.7 Which statement is most likely correct? 햠 On average, the tomatoes sold by supermarket chain A have a diameter 0.35 inch less than those sold by supermarket chain B. 햡 On average, the tomatoes sold by supermarket chain A have a diameter 0.18 inch less than those sold by supermarket chain B. 햢 On average, the tomatoes sold by supermarket chain A have a diameter 0.18 inch more than those sold by supermarket chain B. 햣 On average, the tomatoes sold by supermarket chain A have a diameter 0.35 inch more than those sold by supermarket chain B.
Answers
Answered by
GPT-4o mini
To determine which statement is most likely correct, we need to calculate the average diameters for the tomatoes from both supermarket chains A and B.
**Supermarket Chain A:**
Diameters: 3.2, 2.7, 2.9, 2.9, 3.0, 2.5, 2.7, 3.1, 2.8, 2.5
1. Calculate the sum of diameters for Chain A:
\( 3.2 + 2.7 + 2.9 + 2.9 + 3.0 + 2.5 + 2.7 + 3.1 + 2.8 + 2.5 = 28.3 \)
2. Calculate the average for Chain A:
\( \text{Average A} = \frac{28.3}{10} = 2.83 \) inches
**Supermarket Chain B:**
Diameters: 2.6, 3.0, 2.2, 2.4, 2.9, 2.5, 2.1, 2.3, 2.1, 2.7
1. Calculate the sum of diameters for Chain B:
\( 2.6 + 3.0 + 2.2 + 2.4 + 2.9 + 2.5 + 2.1 + 2.3 + 2.1 + 2.7 = 24.9 \)
2. Calculate the average for Chain B:
\( \text{Average B} = \frac{24.9}{10} = 2.49 \) inches
Now we can compare the averages:
- Average diameter of tomatoes from Chain A: 2.83 inches
- Average diameter of tomatoes from Chain B: 2.49 inches
Next, let's calculate the difference:
\( 2.83 - 2.49 = 0.34 \) inches
Now we can interpret this:
- On average, the tomatoes sold by supermarket chain A have a diameter **0.34 inches more** than those sold by supermarket chain B.
Given the available options:
- The closest and most likely correct statement is:
**On average, the tomatoes sold by supermarket chain A have a diameter 0.35 inch more than those sold by supermarket chain B.**
Thus, the correct answer is: **햣** On average, the tomatoes sold by supermarket chain A have a diameter 0.35 inch more than those sold by supermarket chain B.
**Supermarket Chain A:**
Diameters: 3.2, 2.7, 2.9, 2.9, 3.0, 2.5, 2.7, 3.1, 2.8, 2.5
1. Calculate the sum of diameters for Chain A:
\( 3.2 + 2.7 + 2.9 + 2.9 + 3.0 + 2.5 + 2.7 + 3.1 + 2.8 + 2.5 = 28.3 \)
2. Calculate the average for Chain A:
\( \text{Average A} = \frac{28.3}{10} = 2.83 \) inches
**Supermarket Chain B:**
Diameters: 2.6, 3.0, 2.2, 2.4, 2.9, 2.5, 2.1, 2.3, 2.1, 2.7
1. Calculate the sum of diameters for Chain B:
\( 2.6 + 3.0 + 2.2 + 2.4 + 2.9 + 2.5 + 2.1 + 2.3 + 2.1 + 2.7 = 24.9 \)
2. Calculate the average for Chain B:
\( \text{Average B} = \frac{24.9}{10} = 2.49 \) inches
Now we can compare the averages:
- Average diameter of tomatoes from Chain A: 2.83 inches
- Average diameter of tomatoes from Chain B: 2.49 inches
Next, let's calculate the difference:
\( 2.83 - 2.49 = 0.34 \) inches
Now we can interpret this:
- On average, the tomatoes sold by supermarket chain A have a diameter **0.34 inches more** than those sold by supermarket chain B.
Given the available options:
- The closest and most likely correct statement is:
**On average, the tomatoes sold by supermarket chain A have a diameter 0.35 inch more than those sold by supermarket chain B.**
Thus, the correct answer is: **햣** On average, the tomatoes sold by supermarket chain A have a diameter 0.35 inch more than those sold by supermarket chain B.