Math Problem Statement
Data: 21.4,31.8,24,39.2,20,14.3,47,30.2,11.8,32.2,13.7
Please show the following answers to 2 decimal places.
Sample Mean =
Sample Standard Deviation = and
Sample Variance =
Ooops - now you discover that the data was actually from a population! So now you must give the population standard deviation.
Population Standard Deviation =
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Variance
Standard Deviation
Formulas
Sample Mean = (Σx) / n
Sample Variance = Σ(x - mean)^2 / (n - 1)
Sample Standard Deviation = sqrt(Sample Variance)
Population Standard Deviation = sqrt(Σ(x - mean)^2 / N)
Theorems
Law of Large Numbers
Central Limit Theorem
Suitable Grade Level
Grades 10-12
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