Math Problem Statement
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)
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