A particular piece of music was played by 91 pianists and for each pianist, the number of incorrect notes was recorded. The results are summarised in the table. State which class interval contains the lower quartile and which class interval contains the upper quartile. Hence find the greatest possible value of the interquartile range. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_53 Year:2020 Question No:7(b)

Answer:

LQ: \(11-20\)
UQ: \(21-40\)
Greatest \(\mathrm{IQR}=40-11=29\)

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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