Make sure to show any and all calculations for numerical answer. Two researchers

Question

Make sure to show any and all calculations for numerical answer.

Two researchers are examining academic performance. They use the same set of 11 college student participants, but they each measure academic performance differently. Researcher 1 measures academic performance 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 performance by accessing the volunteer’s academic record and retrieving their overall grade point average from the college system. The participants’ scores are shown below. Researcher 1: Letter Grade Researcher 2: Overall GPA B 3.25 A 3.31 C 2.45 B 3.09 A 4.00 C 1.90 D .60 B 2.85 A 2.96 B 3.02 C 1.54

.9. What percentage of the students had an overall GPA of 3.0 or higher? (3 pts)  

10.What is the most appropriate measure of central tendency for typical letter grade? Provide an explanation why. (4 pts)

11.What is the most appropriate measure of central tendency for overall GPA? Provide an explanation why. (4 pts)

Calculate (2 pts) and interpret (2 pts) the mode for letter grade.  

Calculate (3 pts) and interpret (3 pts) the median for letter grade.

Calculate (3 pts) and interpret (3 pts) the mean for overall GPA.

Calculate the sum of squares (SS) for GPA using the definitional formula. (3 pts)

Calculate the sum of squares (SS) for GPA using the computational formula. (3 pts)  

Calculate the variance for GPA, assuming these 11 people are a population. (4 pts) 1

Calculate (4 pts) and interpret (4 pts) the standard deviation for GPA, assuming these 11 people are a population.

Calculate (4 pts) and interpret (4 pts) the standard deviation for GPA, assuming these 11 people are a sample.

Explanation / Answer

9. Total of the students had an overall GPA of 3.0 or higher = 16.67

total GPA = 28.97

percentage = (16.67/28.97)*100 = 0.5754229*100 = 57.54229%

10. Mode is the most appropriate measure of central tendency for typical letter grade.

we can only calculate frequency of letter grade. So we can find Mode.

11. Median is the most appropriate measure of central tendency for overall GPA.

Median is the middlemost value or sorted data and is not affected by outliers.

FREQUENCY DISTRIBUTION OF LETTER GRADE:

mode = B

mean for overall GPA. =

variance for GPA =

Related Questions

Navigate

• Browse (All)
• Browse M
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.