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