you are working as a ta for a professor. you have just graded the quizzes from the students in your two discussion sections. your professor has asked you to produce a stem - and - leaf plot of the scores for your students, to summarize the results in a gfdt. here are the scores for your students’ quizzes: 86, 75, 88, 89, 52, 61, 88, 75, 69, 79, 72, 91, 48, 24, 97, 55, 83, 86, 70, 84, 78, 90, 90, 85, 78, 83, 65. first, make a stem - and - leaf plot of this data. 2# | 3# | 4# | 58 5# | 59 6# | 5 7# | 002556889 8# | 3345 9# | 0001478. using the stem - and - leaf plot, fill in the gfdt. use interval notation to label each class; use closed intervals (i.e., square - brackets on both sides).

Question

Accepted Answer

### Step 1: Organize the Data
First, list out all the scores: 86, 75, 88, 89, 52, 61, 88, 75, 69, 79, 72, 91, 48, 24, 97, 55, 83, 86, 70, 84, 70, 78, 90, 90, 85, 78, 83, 65.

### Step 2: Create the Stem - and - Leaf Plot
- **Stem 2**: Leaf is 4 (from score 24)
- **Stem 3**: No scores, so no leaves.
- **Stem 4**: Leaf is 8 (from score 48)
- **Stem 5**: Leaves are 2, 5 (from scores 52, 55)
- **Stem 6**: Leaves are 1, 5, 9 (from scores 61, 65, 69)
- **Stem 7**: Leaves are 0, 0, 2, 5, 5, 8, 8, 9 (from scores 70, 70, 72, 75, 75, 78, 78, 79)
- **Stem 8**: Leaves are 3, 3, 4, 5, 6, 6, 8, 8, 9 (from scores 83, 83, 84, 85, 86, 86, 88, 88, 89)
- **Stem 9**: Leaves are 0, 0, 1, 7 (from scores 90, 90, 91, 97)

### Step 3: Determine the Classes for GFDT
We can see that the scores range from 24 to 97. We can create classes with a width that makes sense. Let's use class width of 10.
- Class 1: $[20, 30]$
- Class 2: $[30, 40]$
- Class 3: $[40, 50]$
- Class 4: $[50, 60]$
- Class 5: $[60, 70]$
- Class 6: $[70, 80]$
- Class 7: $[80, 90]$
- Class 8: $[90, 100]$

### Step 4: Calculate Frequencies for Each Class
- **Class $[20, 30]$**: Scores in this class: 24. Frequency = 1.
- **Class $[30, 40]$**: No scores. Frequency = 0.
- **Class $[40, 50]$**: Score: 48. Frequency = 1.
- **Class $[50, 60]$**: Scores: 52, 55. Frequency = 2.
- **Class $[60, 70]$**: Scores: 61, 65, 69. Frequency = 3.
- **Class $[70, 80]$**: Scores: 70, 70, 72, 75, 75, 78, 78, 79. Frequency = 8.
- **Class $[80, 90]$**: Scores: 83, 83, 84, 85, 86, 86, 88, 88, 89. Frequency = 9.
- **Class $[90, 100]$**: Scores: 90, 90, 91, 97. Frequency = 4.

### Step 5: Fill in the GFDT
| Score       | Frequency |
|-------------|-----------|
| $[20, 30]$ | 1         |
| $[30, 40]$ | 0         |
| $[40, 50]$ | 1         |
| $[50, 60]$ | 2         |
| $[60, 70]$ | 3         |
| $[70, 80]$ | 8         |
| $[80, 90]$ | 9         |
| $[90, 100]$ | 4         |

### Final Answer (GFDT Table)
| Score       | Frequency |
|-------------|-----------|
| $[20, 30]$ | 1         |
| $[30, 40]$ | 0         |
| $[40, 50]$ | 1         |
| $[50, 60]$ | 2         |
| $[60, 70]$ | 3         |
| $[70, 80]$ | 8         |
| $[80, 90]$ | 9         |
| $[90, 100]$ | 4         |

Score	Frequency
\([30, 40]\)	0
\([40, 50]\)	1
\([50, 60]\)	2
\([60, 70]\)	3
\([70, 80]\)	8
\([80, 90]\)	9
\([90, 100]\)	4

Score	Frequency
\([30, 40]\)	0
\([40, 50]\)	1
\([50, 60]\)	2
\([60, 70]\)	3
\([70, 80]\)	8
\([80, 90]\)	9
\([90, 100]\)	4

Score	Frequency
\([30, 40]\)	0
\([40, 50]\)	1
\([50, 60]\)	2
\([60, 70]\)	3
\([70, 80]\)	8
\([80, 90]\)	9
\([90, 100]\)	4

Score	Frequency
\([30, 40]\)	0
\([40, 50]\)	1
\([50, 60]\)	2
\([60, 70]\)	3
\([70, 80]\)	8
\([80, 90]\)	9
\([90, 100]\)	4

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QUESTION IMAGE

Question

Explanation:

Step 1: Organize the Data

Step 2: Create the Stem - and - Leaf Plot

Step 3: Determine the Classes for GFDT

Step 4: Calculate Frequencies for Each Class

Step 5: Fill in the GFDT

Final Answer (GFDT Table)

Answer: