Math Problem Statement
The accompanying data represent the weights (in grams) of a random sample of 48 M&M plain candies. Complete parts (a) through (f).
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
0.79
0.93
0.84
0.90
0.86
0.93
0.91
0.82
0.81
0.84
0.84
0.88
0.88
0.85
0.84
0.83
0.90
0.86
0.84
0.87 (a) Determine the sample standard deviation weight.
enter your response here gram(s)
Solution
The sample standard deviation of the weights is approximately 0.0363 grams.
Would you like any further details or have any questions?
Here are 5 related questions:
- How is the sample standard deviation different from the population standard deviation?
- What does the standard deviation tell us about the spread of the data?
- How do you calculate the variance from the standard deviation?
- What impact would outliers have on the standard deviation of this dataset?
- How would increasing the sample size affect the standard deviation?
Tip: When calculating the sample standard deviation, always use in the denominator to account for the sample bias.
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Sample Standard Deviation
Formulas
Sample Standard Deviation Formula: s = sqrt[ Σ(xi - x̄)^2 / (n - 1) ]
Mean (x̄) = Σxi / n
Theorems
Empirical Rule
68–95–99.7 Rule
Suitable Grade Level
Grades 11-12 or introductory college statistics
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