Math Problem Statement
answer after rechecking
Solution
To analyze the problem, we need to compare the standard deviations of the data from Class A and Class B based on the given dot plots.
Step-by-step process:
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Class A:
- The number of glue sticks brought by students ranges from 1 to 7.
- The dot plot shows a larger spread, with fewer glue sticks at the lower values and gradually increasing towards the higher values.
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Class B:
- The number of glue sticks brought ranges from 14 to 20.
- The data points seem to be concentrated towards the middle, around 17 or 18 glue sticks, indicating less variability than Class A.
Observations:
- Class A has a wider spread of values (from 1 to 7), indicating a greater variability or dispersion in the number of glue sticks brought by students.
- Class B, while spread from 14 to 20, has a more concentrated distribution, with many dots around the middle values, suggesting a lower variability.
Standard deviation:
The standard deviation is a measure of the spread or dispersion of a data set. Since Class A shows a wider spread than Class B, it would have a higher standard deviation.
Conclusion:
- The standard deviation of the number of glue sticks brought in by students in Class A is greater than that of Class B.
Thus, the correct answer is C.
Would you like more details, or have any other questions?
Here are 5 related questions to explore:
- What is the formula for calculating standard deviation?
- How does the range of a data set affect its standard deviation?
- Can two data sets with the same range have different standard deviations?
- How would removing an outlier affect the standard deviation of a data set?
- What other measures of variability are used besides standard deviation?
Tip: A wider range of values typically increases the standard deviation, but the distribution of those values matters just as much.
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Math Problem Analysis
Mathematical Concepts
Statistics
Standard Deviation
Variability
Formulas
Standard deviation formula: σ = sqrt((Σ(xi - μ)^2) / N)
Theorems
Standard Deviation Definition
Suitable Grade Level
Grades 10-12