Math Problem Statement

The class A of Higher Diploma in Surveying has 20 students, and their examination marks are shown in a table. Determine the mean, median, range, and standard deviation of the examination marks for Class A students. Additionally, the mean and standard deviation of examination marks for another class B (with 15 students) are provided as 70 and 20, respectively. Determine the mean and standard deviation of the combined 35 students.

Solution

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Part (a)
The class A of Higher Diploma in Surveying has 20 students, and their examination marks are provided in a table. You are asked to determine the mean, median, range, and standard deviation of the examination marks for Class A.

Data for Class A:

  • 1: 100
  • 2: 80
  • 3: 40
  • 4: 75
  • 5: 81
  • 6: 80
  • 7: 86
  • 8: 75
  • 9: 50
  • 10: 43
  • 11: 60
  • 12: 25
  • 13: 80
  • 14: 43
  • 15: 16
  • 16: 100
  • 17: 85
  • 18: 90
  • 19: 71
  • 20: 60

Part (b)
The mean and standard deviation for another class, Class B, with 15 students are 70 and 20, respectively. The question asks you to determine the mean and standard deviation for the combined group of 35 students from both classes.


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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Data Analysis

Formulas

Mean = (Sum of all data points) / (Number of data points)
Median = Middle value of a sorted data set
Range = Maximum value - Minimum value
Standard Deviation = sqrt((Σ(x - mean)^2) / N)

Theorems

Properties of Mean and Variance for Combined Groups

Suitable Grade Level

Undergraduate (Statistics or Data Analysis)