Math Problem Statement

Listed below are the durations​ (in hours) of a simple random sample of all flights of a space shuttle program. Find the​ range, variance, and standard deviation for the sample data. Is the lowest duration time​ unusual? Why or why​ not? 79   99   230   197   168   268   194   376   252   239   383   333   228   240   0

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Range
Variance
Standard Deviation
Outliers

Formulas

Range = Max Value - Min Value
Variance (σ²) = Σ(xᵢ - x̄)² / (n - 1)
Standard Deviation (σ) = √Variance

Theorems

Empirical Rule for Standard Deviation

Suitable Grade Level

Grades 9-12