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Descriptive Statistics · Paper 2 — Free Maths AA SL Practice Questions

1MasterySAQ-SMeasures of central tendency (mean, median, mode)s6 marksPaper 2~9 min
A factory produces metal rods. The lengths, in centimetres, of a random sample of 8 rods are: 12.4, 13.1, 11.8, 12.7, 13.5, 12.2, 11.9, 13.412.4,\ 13.1,\ 11.8,\ 12.7,\ 13.5,\ 12.2,\ 11.9,\ 13.4
(a)
Calculate the mean length of the rods in this sample. [2 marks]
(b)
Determine the median length of the rods in this sample. [2 marks]
(c)
A ninth rod of length 12.9 cm12.9\,\text{cm} is added to the sample. Determine the new median and explain why it differs from the median found in part (b). [2 marks]
diagram

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