Math Problem Statement
Solution
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Problem 165:
You have a set of times from a 100-meter run. The goal is to: a) Create class intervals (classeninteilung). b) Calculate the mean for the class intervals. c) Calculate the mean without class intervals.
Steps:
- Class intervals will be chosen by determining suitable ranges based on the times.
- Mean with class intervals involves multiplying the class midpoint by the frequency of each class and dividing the sum by the total number of times.
- Mean without class intervals involves directly averaging the recorded times.
Problem 166:
This question provides data on the age structure of the population in Switzerland in 2005 and asks: a) Calculate the relative frequency. b) Create a pie chart (Kreisdiagramm). c) Estimate the average age based on the population data, assuming a maximum age of 100 years.
I'll break down each question further, and we can calculate the necessary values step-by-step.
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Math Problem Analysis
Mathematical Concepts
Statistical Analysis
Class Intervals
Mean Calculation
Relative Frequency
Formulas
Mean with Class Intervals = Σ (midpoint * frequency) / total
Mean without Class Intervals = Σ (values) / number of values
Theorems
Central Limit Theorem
Mean Calculation Theorem
Suitable Grade Level
Grades 10-12
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