The scores of twelve pupils are $6,7,9,10,12,13,15,16,18,20,23,25$. Find the median, lower quartil

Question

The scores of twelve pupils are $6,7,9,10,12,13,15,16,18,20,23,25$. Find the median, lower quartile and upper quartile.[3] Draw a box-and-whisker plot on the scale provided below.[2] Find the interquartile range.[1]

Accepted Answer

(a) Median $14$, lower quartile $9.5$, upper quartile $19$ (b) Box plot with summary $6,9.5,14,19,25$ (c) $9.5$

Quartiles of an even-sized data set

Quartiles of an even-sized data set

Solution:

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