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in a set as such {2,3,4,5,6,7,8,}, 5 would be the median, 7 would be the upper quartile, and 3 would be the lower quartile. The lower quartile divides the lower half of a set of data into two equal parts

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Q: What is the Definition of lower quartile?
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Related questions

Can IQR be negative?

No. The upper quartile, by definition, must be at least as large as the lower quartile.


What is the definition to box and whisker plot?

A data display that organizes data values into four parts using the lower extreme,lower quartile,median,upper quartile,and upper extreme.


Who do you work out the upper and lower quartile?

you do work out the upper and lower quartile


How do you find the inter quartile range?

Subtract the lower quartile from the upper quartile.


How do you solve the lower quartile?

A quartile is 1/4 or 25% of the total. So if you the population is 24 (say in a classroom), then a quartile is 6. Sort the grades lowest to highest, then the bottom 6 are in the lower quartile. The grade for #6 is the lower quartile.


Inter quartile range?

the interquartile is just subtracting the high quartile from the low quartile. * * * * * No, it is subtracting the lower quartile from the higher quartile.


What are characteristics of lower quartile?

25% of the observed values are smaller than the lower quartile.


How do you finde iqr?

IQR = Inter-Quartile Range = Upper Quartile - Lower Quartile.


Can interquartile range be used for any data eg data below the lower quartile to find if the data is spread out or close together or must we use the lower quartile for data below the lower quartile?

No, interquartile range cannot be for any data. The lower quartile for data must be used below the lower quartile.


Why is it impossible for the iqr to be bigger than the range?

By definition, a quarter of the observations are at most as large as the lower quartile. Therefore it is possible to have an observation, X, which is smaller than the lower quartile, L. That is X <= L Again, by definition, a quarter of the observations are at least as large as the lower quartile. Therefore it is possible to have an observation, Y, which is larger than the upper quartile, U. That is U <= Y So X <= L <= U <= Y Therefore U - L <= Y - X That is, the IQR must be less than or equal to the range.


Formula calculating lower quartile?

lower quartile = 1/4(n+1) upper quartile = 3/4(n+1) where n is the number of the values. Obviously the values have to be ordered from the lower to the higher: the number you'll get is the position in this order. Let's say you get 4 for your lower quartile, it means that the 4th value is your lower quartile.


What is the interquartile range equal to?

It is the upper quartile minus the lower quartile.