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Consider the data: 1, 2, 2, 3, 4, 4, 5, 7, 11, 13 , 19 (arranged in ascending order)
Minimum: 1
Maximum: 19
Range = Maximum - Minimum = 19 - 1 = 18
Median = 4 (the middle value)
1st Quartile/Lower Quartile = 2 (the middle/median of the data below the median which is 4)
3rd Quartile/Upper Quartile = 11 (the middle/median of the data above the median which is 4)
InterQuartile Range (IQR) = 3rd Quartile - 1st Quartile = 11 - 2 = 9
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What is the difference between the upper quartile and the lower quartile called?
Interquartile Range, or IQR
What is a five number summary?
In Statistics the Five Number Summary is the sample's minimum, lower quartile, median, upper quartile and maximum.
What percentage of the data values represented on a box plot falls between the lower quartile and the upper quartile?
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What is the difference between a upper quartile range and an upper quartile?
The idea when using quartiles is take all your data and write it out in increasing order then divide it in 4 equal parts.The upperquartile is the part containing the highest data values, the uppermiddle quartile is the part containing the next-highest data values,the lower quartile is the part containing the lowest data values,while the lower middle quartile is the part containing the next-lowest data values.Here is the catch-------------- the terms can also refer to cut-off values between the 4 sets.The term 'upper quartilevcan becut-off value between the upper quartile subset and the upper middlequartile subset. And, the 'lower quartile' can refer to a cut-off value between the lower quartile setand the lower middle quartile set. usually we look at the interquartile range (IQR) which is the range between the thrird and 1st quartileIQR is used to make box plots and other cool graphs.The upper quartile (Q3) is the median of the upper half of the data set. Q3 cuts off highest 25% of data And just FYI: first quartile (designated Q1) = lower quartile = cuts off lowest 25% of data = 25th percentile second quartile (designated Q2) = median = cuts data set in half = 50th percentile
Data in a box-and whisker plot?
The [vertical] sides of the box go from the Lower Quartile to the Upper Quartile. The Median is drawn parallel to these sides. The whiskers stretch out from half-way up the sides of the box to the minimum and the maximum.
