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DA0-001 · Question #431

A college student has taken four exams in a class. The student hopes to finish the class with a weighted average of at least 90% to get an A. Given the following: With one test remaining, which of…

The correct answer is D. 91.2%. To find the lowest score needed on the final exam, calculate the total points required for the desired overall weighted average and subtract the cumulative points already earned.

Data Analysis

Question

A college student has taken four exams in a class. The student hopes to finish the class with a weighted average of at least 90% to get an A. Given the following:

With one test remaining, which of the following is the lowest score the student can receive while achieving the desired final grade?

Exhibit

DA0-001 question #431 exhibit

Options

  • A96.7%
  • B79.5%
  • C85.4%
  • D91.2%

How the community answered

(30 responses)
  • A
    7% (2)
  • B
    13% (4)
  • C
    3% (1)
  • D
    77% (23)

Why each option

To find the lowest score needed on the final exam, calculate the total points required for the desired overall weighted average and subtract the cumulative points already earned.

A96.7%

This score would result in an overall average higher than the 90% target, making it not the *lowest* score required to achieve the grade.

B79.5%

This score would result in an overall average below the 90% target, meaning the student would not achieve the desired final grade.

C85.4%

This score would result in an overall average below the 90% target, meaning the student would not achieve the desired final grade.

D91.2%Correct

To determine the lowest score needed on the remaining exam to achieve a minimum 90% weighted average, one must first calculate the total cumulative points required for all exams to meet that 90% target. Then, subtract the sum of the student's current scores, each multiplied by its respective weight, from the total required points. The resulting value, typically divided by the weight of the final exam, provides the minimum percentage score needed.

Concept tested: Weighted average calculation

Topics

#Weighted average#Calculation#Quantitative reasoning#Descriptive statistics

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