Five Number Summary, Box Plots, and Outliers

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What is the Five Number Summary?

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The Five Number Summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum of a dataset.

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What does a Box Plot represent?

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A Box Plot visually displays the distribution of a dataset based on the Five Number Summary, highlighting the median, quartiles, and potential outliers.

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What is an Outlier?

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An outlier is a data point that significantly differs from other observations in a dataset, often identified as being more than 1.5 times the interquartile range (IQR) above Q3 or below Q1.

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How do you calculate the Interquartile Range (IQR)?

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IQR is calculated as Q3 - Q1, representing the range of the middle 50% of the data.

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What does it mean if data is Skewed Right?

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If data is skewed right, it means that the tail on the right side of the distribution is longer or fatter, indicating that there are a few high values.

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What does it mean if data is Skewed Left?

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If data is skewed left, it means that the tail on the left side of the distribution is longer or fatter, indicating that there are a few low values.

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What is the Median in a dataset?

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The median is the middle value when the data is arranged in ascending order; it divides the dataset into two equal halves.

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What is the First Quartile (Q1)?

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Q1 is the median of the lower half of the dataset, representing the 25th percentile.

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What is the Third Quartile (Q3)?

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Q3 is the median of the upper half of the dataset, representing the 75th percentile.

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How do you identify Outliers using IQR?

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Outliers can be identified as any data point that is less than Q1 - 1.5*IQR or greater than Q3 + 1.5*IQR.