Understanding Average Score Calculations

Understanding Average Score Calculations

Assessment

Interactive Video

Mathematics, Education

5th - 8th Grade

Hard

Created by

Aiden Montgomery

FREE Resource

The video tutorial explains a model used to calculate average exam scores for a fifth-grade class over two years. The model is defined as F(T) = 88 - 4 * log(T + 3), where T is the time in months after the first test. The tutorial demonstrates how to calculate the average scores at different times: initially (T=0), after 9 months, and after 20 months. It shows that the scores decrease over time, and this trend is visualized in a graph.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the mathematical model used to calculate the average score over time?

F of T equals 88 minus 4 times the common log of T plus 3

F of T equals 88 plus 4 times the natural log of T plus 3

F of T equals 88 plus 4 times the common log of T plus 3

F of T equals 88 minus 4 times the natural log of T plus 3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the average score on the original exam?

88.0

87.5

86.1

85.0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At what time is the original exam score calculated?

T equals 0 months

T equals 1 month

T equals 3 months

T equals 2 months

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the average score after 9 months?

83.7

84.5

82.0

85.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value of T is used to calculate the score after 9 months?

T equals 6

T equals 9

T equals 12

T equals 3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the average score after 20 months?

81.5

83.0

82.6

84.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of T used to calculate the score after 20 months?

T equals 18

T equals 20

T equals 23

T equals 25

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