Math Problem Statement
Data on a customer satisfaction rating (called the APEAL rating) are given for each brand of car sold in the United States in a certain year. The APEAL rating is a score between 0 and 1,000, with higher values indicating greater satisfaction.
753 763 763 765 780 785 785 786 786 787 787 787 788 792 792
793 793 794 809 813 817 827 829 836 843 845 848 850 857 886
Calculate the mean and standard deviation for this data set. (Round your answers to four decimal places.)
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Mean
Standard Deviation
Formulas
Mean formula: \( \text{Mean} = \frac{\sum x_i}{n} \)
Standard deviation formula: \( \sigma = \sqrt{\frac{1}{n}\sum (x_i - \mu)^2} \)
Theorems
Central Limit Theorem
Law of Large Numbers
Suitable Grade Level
Grades 10-12
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