Statistics Recovery Wozgen

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What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is a measure of statistical dispersion, calculated as the difference between the third quartile (Q3) and the first quartile (Q1). It represents the range of the middle 50% of the data.

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What does Q3 represent in a data set?

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Q3, or the third quartile, represents the value below which 75% of the data falls. It is a measure of the upper middle of the data set.

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What is an outlier in a data set?

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An outlier is a data point that differs significantly from other observations in a data set. It can skew the results of statistical analyses.

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How does removing an outlier affect the mean of a data set?

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Removing an outlier typically decreases the mean of a data set if the outlier is significantly higher than the other values.

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What are the components of the 5-Number Summary?

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The 5-Number Summary includes the minimum, first quartile (Q1), median, third quartile (Q3), and maximum of a data set.

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What is the median of a data set?

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The median is the middle value of a data set when it is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.

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What does the term 'statistical dispersion' refer to?

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Statistical dispersion refers to the extent to which a distribution is stretched or squeezed. Common measures include range, variance, and standard deviation.

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What is the difference between Q1 and Q3?

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The difference between Q1 and Q3 is known as the interquartile range (IQR), which measures the spread of the middle 50% of the data.

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What is the mode of a data set?

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The mode is the value that appears most frequently in a data set. A data set may have one mode, more than one mode, or no mode at all.

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How do you identify an outlier using the IQR?

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An outlier can be identified using the IQR by calculating Q1 - 1.5*IQR and Q3 + 1.5*IQR. Any data point outside this range is considered an outlier.