Math Problem Statement
solve and only give direct answer no explanation
Solution
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The question asks about the relationship between the mean, median, and mode based on the distribution of student ages in a table. The options are:
- A) mode < median < mean
- B) mode < mean < median
- C) median < mode < mean
- D) mean < mode < median
Direct Answer: The correct answer is A) mode < median < mean.
Would you like further details or have any questions?
Here are 5 related questions to extend your understanding:
- How do you calculate the mean, median, and mode from a frequency distribution?
- What are the differences between mean, median, and mode in a skewed distribution?
- How do changes in a dataset affect the relationship between mean, median, and mode?
- Can the mean ever be less than both the median and mode? If so, in what kind of distribution?
- Why is the median often a better measure of central tendency in skewed distributions?
Tip: In a positively skewed distribution, the mean is usually greater than the median, which in turn is greater than the mode.
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Math Problem Analysis
Mathematical Concepts
Mean
Median
Mode
Statistics
Skewness in Distributions
Formulas
Mean = (Sum of all data points) / (Number of data points)
Median: middle value in ordered list
Mode: most frequent data point
Theorems
Properties of skewed distributions
Suitable Grade Level
Grades 9-12
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