Math Problem Statement
0.87 0.91 0.89 0.83 0.91 0.88 0.90 0.88 0.88 0.94 0.91 0.95 0.91 0.88 0.88 0.92 0.82 0.86 0.86 0.87 0.86 0.89 0.84 0.85 0.90 0.86 0.87 0.93 0.89 0.79 0.93 0.84 0.90 0.86 0.93 0.91 0.87 0.82 0.84 0.84 0.88 0.88 0.85 0.84 0.83 0.90 0.86 0.87 The accompanying data represent the weights (in grams) of a random sample of 48 M&M plain candies. Determine the sample standard deviation weight. enter your response here gram(s) (Round to three decimal places as needed.)
Solution
The sample standard deviation of the M&M plain candies' weights is 0.035 grams.
Would you like to dive into more details or ask any questions? Here are some related questions to explore:
- How is the sample standard deviation calculated?
- What is the difference between population and sample standard deviation?
- How does changing the sample size affect the standard deviation?
- What would the variance of this data set be?
- How can the mean weight of the candies be calculated from the same data?
Tip: Always remember to use "sample standard deviation" when working with a subset of data from a larger population!
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Math Problem Analysis
Mathematical Concepts
Statistics
Standard Deviation
Descriptive Statistics
Sample vs. Population
Formulas
Sample Standard Deviation Formula: s = sqrt(Σ(xi - x̄)² / (n - 1))
Theorems
Central Limit Theorem
Law of Large Numbers
Suitable Grade Level
College-level introductory statistics or advanced high school (Grades 11-12)