Scenario: Two researchers are examining academic success. They use the same set of 10 high school student participants, but they each measure academic success differently. Researcher 1 measures academic success by asking the participants to self-report which letter grade is most typical for them to receive on an assignment on the standard A through F scale. Researcher 2 measures academic success by accessing the students' academic records and retrieving their overall grade average from the school's system. The participants' scores are shown below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Question
Using the chart (attached)Calculate the sum of squares (SS) for overall grade average using the computational formula.
**Scenario:** Two researchers are examining academic success. They use the same set of 10 high school student participants, but they each measure academic success differently. Researcher 1 measures academic success by asking the participants to self-report which letter grade is most typical for them to receive on an assignment on the standard A through F scale. Researcher 2 measures academic success by accessing the students’ academic records and retrieving their overall grade average from the school’s system. The participants’ scores are shown below.

| **Researcher 1: Typical Letter Grade** | **Researcher 2: Overall Grade Average** |
|----------------------------------------|-----------------------------------------|
| B                                      | 85                                      |
| A                                      | 96                                      |
| C                                      | 75                                      |
| B                                      | 86                                      |
| A                                      | 90                                      |
| D                                      | 60                                      |
| D                                      | 59                                      |
| B                                      | 84                                      |
| B                                      | 80                                      |
| C                                      | 70                                      |

This table compares the methods of measuring academic success by two researchers. Researcher 1 uses self-reported typical letter grades, while Researcher 2 uses overall grade averages from school records. The data shows variability in academic success as perceived by students versus recorded academic performance.
Transcribed Image Text:**Scenario:** Two researchers are examining academic success. They use the same set of 10 high school student participants, but they each measure academic success differently. Researcher 1 measures academic success by asking the participants to self-report which letter grade is most typical for them to receive on an assignment on the standard A through F scale. Researcher 2 measures academic success by accessing the students’ academic records and retrieving their overall grade average from the school’s system. The participants’ scores are shown below. | **Researcher 1: Typical Letter Grade** | **Researcher 2: Overall Grade Average** | |----------------------------------------|-----------------------------------------| | B | 85 | | A | 96 | | C | 75 | | B | 86 | | A | 90 | | D | 60 | | D | 59 | | B | 84 | | B | 80 | | C | 70 | This table compares the methods of measuring academic success by two researchers. Researcher 1 uses self-reported typical letter grades, while Researcher 2 uses overall grade averages from school records. The data shows variability in academic success as perceived by students versus recorded academic performance.
Expert Solution
Step 1: Given Information

The participant's overall grade average is,

Researcher 2: Overall Grade Average
85
96
75
86
90
60
59
84
80
70

The number of observations, n equals 10


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