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What are the upper and lower quartiles of this data set?

118, 124, 124, 137, 138, 138, 138, 140, 143, 150, 151, 152, 156, 158, 159, 159, 159, 160, 162, 163, 165, 169, 170, 172, 173, 174, 177, 178, 206

Answer :

Answer:

upper quartile = Q3

series of 29 values

Q3: (29*3)/4=21.75, the upper quartile is the 22nd value of the series, i.e. 173

(we take the immediately higher integer)

lower quartile = Q1

29/4=7.25, the lower quartile is the 8th value, i.e. 140

(we take the immediately higher integer)

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