About: Interquartile range   Sponge Permalink

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The median of the upper half of a set of data is the upper quartile (UQ) or Q3 . The upper and lower quartiles can be used to find another measure of variation call the interquartile range. The interquartile range is the range of the middle half of a set of data. It is the difference between the upper quartile and the lower quartile. Interquartile range = Q3 – Q1 In the above example, the lower quartile is 52 and the upper quartile is 58. The interquartile range is 58 – 52 or 6. Data that is more than 1.5 times the value of the interquartile range beyond the quartiles are called outliers .

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  • Interquartile range
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  • The median of the upper half of a set of data is the upper quartile (UQ) or Q3 . The upper and lower quartiles can be used to find another measure of variation call the interquartile range. The interquartile range is the range of the middle half of a set of data. It is the difference between the upper quartile and the lower quartile. Interquartile range = Q3 – Q1 In the above example, the lower quartile is 52 and the upper quartile is 58. The interquartile range is 58 – 52 or 6. Data that is more than 1.5 times the value of the interquartile range beyond the quartiles are called outliers .
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abstract
  • The median of the upper half of a set of data is the upper quartile (UQ) or Q3 . The upper and lower quartiles can be used to find another measure of variation call the interquartile range. The interquartile range is the range of the middle half of a set of data. It is the difference between the upper quartile and the lower quartile. Interquartile range = Q3 – Q1 In the above example, the lower quartile is 52 and the upper quartile is 58. The interquartile range is 58 – 52 or 6. Data that is more than 1.5 times the value of the interquartile range beyond the quartiles are called outliers . Semi-interquartile range is one-half the difference between the first and third quartiles. It is half the distance needed to cover half the scores. The semi-interquartile range is affected very little by extreme scores. This makes it a good measure of spread for skewed distributions. It is obtained by evaluating . The midquartile range is the numerical value midway between the first and third quartile. It is one-half the sum of the first and third quartiles. It is obtained by evaluating . (The median, midrange and midquartile are not always the same value, although they may be.)
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