Answer:
Letter "C" Is the Answer.
Step-by-step explanation:
The image you uploaded appears to be a question involving a box plot and a set of grades. The goal is to match the correct set of grades to the box plot shown.
Here are the sets of grades provided:
A. 72, 72, 77, 78, 80, 83, 86, 89, 90, 98
B. 72, 72, 77, 78, 80, 83, 87, 89, 90, 98
C. 72, 72, 71, 78, 80, 83, 87, 89, 90, 98
D. 72, 72, 71, 78, 80, 83, 87, 89, 90, 88
To match the correct set of grades to the box plot, we need to determine the five-number summary (minimum, Q1, median, Q3, and maximum) for each set of grades and compare it to the box plot.
Let's calculate the five-number summary for each set of grades:
1. **A.** 72, 72, 77, 78, 80, 83, 86, 89, 90, 98
- Minimum: 72
- Q1: (72 + 77) / 2 = 74.5
- Median: 80
- Q3: (83 + 86) / 2 = 84.5
- Maximum: 98
2. **B.** 72, 72, 77, 78, 80, 83, 87, 89, 90, 98
- Minimum: 72
- Q1: (72 + 77) / 2 = 74.5
- Median: 80
- Q3: (83 + 87) / 2 = 85
- Maximum: 98
3. **C.** 72, 72, 71, 78, 80, 83, 87, 89, 90, 98
- Minimum: 71
- Q1: (72 + 72) / 2 = 72
- Median: 80
- Q3: (83 + 87) / 2 = 85
- Maximum: 98
4. **D.** 72, 72, 71, 78, 80, 83, 87, 89, 90, 88
- Minimum: 71
- Q1: (72 + 72) / 2 = 72
- Median: 80
- Q3: (83 + 87) / 2 = 85
- Maximum: 90
Now we compare these summaries with the box plot in the image:
- Minimum: Looks like 71 or 72
- Q1: Close to 72
- Median: Close to 80
- Q3: Around 85
- Maximum: Around 98
Set **C** seems to best match the box plot with a minimum of 71, Q1 of 72, median of 80, Q3 of 85, and a maximum of 98.
So, the answer should be **C. 72, 72, 71, 78, 80, 83, 87, 89, 90, 98**.