Two machines, $$\(A\)$$ and $$\(B\)$$, produce metal rods of a certain type. The lengths, in metres, of 19 rods produced by machine $$\(A\)$$ and 19 rods produced by machine $$\(B\)$$ are shown in the following back-to-back stem-and-leaf diagram. Key: 7 22 4 means 0.227 m for machine A and 0.224 m for machine B . Hence make two comparisons between the lengths of the rods produced by machine $$\(A\)$$ and those produced by machine $$\(B\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

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

Answer:

Lengths of rods produced by machine \(A\) are longer.
(B1 for comparison of central tendency)
Lengths of rods produced by machine \(A\) are less spread out
(B1 for comparison of spread)

Knowledge points:

5.1.3 understand and use different measures of central tendency (mean, median, mode) and variation (range, interquartile range, standard deviation) (e.g. in comparing and contrasting sets of data.)

Solution:

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