what are lower and upper quartiles?
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The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.
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['Measures of Frequency: * Count, Percent, Frequency. ... ', 'Measures of Central Tendency. * Mean, Median, and Mode. ... ', 'Measures of Dispersion or Variation. * Range, Variance, Standard Deviation. ... ', 'Measures of Position. * Percentile Ranks, Quartile Ranks.']
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The first quartile is the median of the data points to the left of the median. The third quartile is the median of the data points to the right of the median.
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Quartiles divide data into 4 even parts. ◦ Lower (or first) quartile QL: median of all observations less than the median M. ◦ Middle (or second) quartile M = QM : median of all observations.
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There are 5 values above the median (upper half), the middle value is 77 which is the third quartile. The interquartile range is 77 – 64 = 13; the interquartile range is the range of the middle 50% of the data. ... The median and quartiles are indicated below.
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['Its 25% is Q1 (the first quartile),', 'Its 75% is Q3 (the third quartile),', 'Its 50% is the median,', 'Also you calculate IQR by subtracting Q1 from Q3.']
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The interquartile range formula is the first quartile subtracted from the third quartile: IQR = Q3 – Q1.
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Example: Box and Whisker Plot and Interquartile Range for In this case all the quartiles are between numbers: Quartile 1 (Q1) = (4+4)/2 = 4. Quartile 2 (Q2) = (10+11)/2 = 10.5. Quartile 3 (Q3) = (14+16)/2 = 15.
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The difference between these two functions is that QUARTILE. INC bases its calculation on a percentile range of 0 to 1 inclusive, whereas QUARTILE. EXC bases its calculation on a percentile range of 0 to 1 exclusive.
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AFOQT Scores You'll be given a number ranging from 1 to 99 for each section. This composite score will appear as a percentile which refers to the percentage of candidates who scored as well or lower than you.
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The semi-interquartile range is one-half the difference between the first and third quartiles.
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The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles. ... The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively. Q1 is the "middle" value in the first half of the rank-ordered data set.
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Sample Problem In summary, to find the quartiles of an ordered list, there are four steps: Find the median, which is quartile Q2. Find the median of the "left'' half of the list (not including Q2), which is quartile Q1. Find the median of the "right'' half of the list (not including Q2), which is quartile Q3.
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Mean is calculated by dividing the sum of the data values by the number of data values. Median is the middle data value, at 50% of the data, where there is an equal probability of data values falling below or above it. The lower/first quartile is at 25% of the data, or the middle between of the lower half of data.
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The range, inter-quartile range and standard deviation are all measures that indicate the amount of variability within a dataset. The range is the simplest measure of variability to calculate but can be misleading if the dataset contains extreme values.
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The semi-interquartile range is half of the difference between the upper quartile and the lower quartile. In the previous example, the quartiles were Q 1 = 4 and Q 3 = 11 . The semi-interquartile range is: 1 2 ( Q 3 − Q 1 )
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Excel QUARTILE Function. The Excel QUARTILE function returns the quartile (each of four equal groups) for a given set of data. QUARTILE can return minimum value, first quartile, second quartile, third quartile, and max value.