Calculating Arithmetic Mean of Grades
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Questions and Answers

According to the table, what is the number of students in the range 6.0 - 6.6?

  • 1
  • 7 (correct)
  • 5
  • 4

According to the table, what is the point midpoint (Pm) for the range 7.8 - 8.4?

  • 6.3
  • 6.9
  • 8.1 (correct)
  • 7.5

According to the table, what is the total value of $Pm \times f$?

  • 46.8
  • 8.7
  • 172.5 (correct)
  • 23

Based on the table, calculate the arithmetic mean of the grades for the group of students.

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Flashcards

Table of Grades

A table showing the distribution of grades among students.

Grades Interval

The range within which student grades fall (e.g., 6.0 - 6.6).

Number of Students

The count of students whose grades fall within a specific interval.

Midpoint (Pm)

The average value of a grade interval (e.g., (6.0 + 6.6) / 2 = 6.3).

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Pm × f

The midpoint (Pm) of each grade interval multiplied by the number of students (f) in that interval. Represents the weighted contribution of each interval to the overall grades.

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Sum of Pm × f

The sum of all calculated Pm × f values from each grade interval.

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Total Students

The sum of students across all grade intervals.

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Arithmetic Mean of Grades

The average grade calculated by dividing the sum of (Pm × f) by the total number of students. Shows the overall class performance.

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Preamble

A summary preceding the data, setting the context of the grades report.

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Postamble

Concluding remarks or summary following the presentation of grades data.

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Study Notes

  • The grades of a group of students are presented in a table.
  • The question is what is the arithmetic mean of the grades of the group of students?

Califications Table

  • Califications are on the left column
  • Quantity of students in the second: f
  • Point average in the third column: (Pm)
  • The multiplication of the last 2 columns are shown in the last column: Pm * f
  • Grades between 6.0 - 6.6: 7 students, 6.3 average grade, 44.1 is the product
  • Grades between 6.6 - 7.2: 4 students, 6.9 average grade, 27.6 is the product
  • Grades between 7.2 - 7.8: 5 students, 7.5 average grade, 37.5 is the product
  • Grades between 7.8 - 8.4: 1 students, 8.1 average grade, 8.1 is the product
  • Grades between 8.4 - 9.0: 1 students, 8.7 average grade, 8.7 is the product
  • Grades between 9.0 - 9.6: 5 students, 9.3 average grade, 46.5 is the product
  • Totals for each column, are displayed at the end of each column, 23, 46.8, 172.5

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Description

Calculate the arithmetic mean of a group of students' grades based on a provided table. The table includes grade ranges, frequency of students, point average, and the product of frequency and point average. Use the totals to find the mean.

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