How do we use the five-number summary to make a modified boxplot?
Answer: A modified boxplot is a graph of the 5-number summary, with outliers plotted individually.
- a central box spans the quartiles
- a line in the box marks the median
- observations more than 1.5*IQR outside the central box are plotted individually
- lines extend from the box out to the smallest and largest observations that are not outliers
Learn More :
AP Statistics Chapter 1
- Is standard deviation resistant or nonresistant to extreme observations? Explain.
- When does standard deviation equal zero?
- What is the relationship between variance and standard deviation?
- What does standard deviation measure? How do we calculate it?
- What is the five-number summary?
- How can we use IQR to determine outliers?
- What is the interquartile range?
- Explain how to calculate Q1 and Q3.
- In statistics, what is meant by spread?
- Explain why the median is resistant to extreme observations, but the mean is nonresistant.
- Explain how to calculate the median, M.
- Explain how to calculate the mean, x.
- In statistics, what is the most common measurement of center?
- When is it useful to construct a time plot?
- What is the purpose of a back-to-back stemplot?
- When is it advantageous to split stems on a stemplot?
- How is the stemplot of a distribution related to its histogram?
- If a distribution is symmetric, what does its histogram look like? Skewed Right? Skewed Left?
- Define outlier.
- When setting a window for constructing a histogram on the TI-83: What is the significance of Xscl? How do you choose the values of Xmin and Xmax?
- What is meant by frequency in a histogram?
- When is it better to use a histogram rather than a dot plot?
- Define range.
- What is meant by a distribution? How do you describe the overall pattern of a distribution?
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