Math Problem Statement
Q2
The following data show the tensile strength of a fiber in lb
18, 13, 2, 20, 8, 10, 5, 10, 6, 9, 10, 20, 2,
15, 16, 16, 13, 10, 17, 10, 3, 2, 15, 8, 5
1) Calculate the Mean, Median and Mode tensile strength.
2) Show that Sum deviation from mean is Zero.
3) Calculate the Quartiles, Seventh Deciles and P30, P75.
Solution
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Math Problem Analysis
Mathematical Concepts
Descriptive Statistics
Measures of Central Tendency
Percentiles and Quartiles
Formulas
Mean = (Σx_i) / n
Median = middle value of ordered data
Mode = most frequent value
Sum of deviations from mean: Σ(x_i - μ) = 0
Quartiles: Q1, Q2 (Median), Q3
Deciles: D7
Percentiles: P30, P75
Theorems
Central Limit Theorem (implicitly used in discussing mean)
Properties of arithmetic mean: the sum of deviations from the mean is zero
Suitable Grade Level
Grades 10-12
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