Two machines, $$\(A\)$$ and $$\(B\)$$, produce metal rods of a certain type. The lengths, in metres, of 19 rods produced by machine $$\(A\)$$ and 19 rods produced by machine $$\(B\)$$ are shown in the following back-to-back stem-and-leaf diagram. Key: 7 22 4 means 0.227 m for machine A and 0.224 m for machine B . It is given that for machine $$\(B\)$$ the median is $$\(0.232 \mathrm{~m}\)$$, the lower quartile is $$\(0.224 \mathrm{~m}\)$$ and the upper quartile is $$\(0.243 \mathrm{~m}\)$$. Draw box-and-whisker plots for $$\(A\)$$ and $$\(B\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s20_qp_52 Year:2020 Question No:3(b)

Answer:

Medians and quartiles correctly plotted for \(A\) or \(B\)
End points correct for \(A\) or \(B\)
Completely correct, including scale

Knowledge points:

5.1.2 draw and interpret stem-and-leaf diagrams, box- and-whisker plots, histograms and cumulative frequency graphs (Including back-to-back stem-and-leaf diagrams.)

Solution:

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