The annual salaries, in thousands of dollars, for 11 employees at each of two companies $$\(A\)$$ and $$\(B\)$$ are shown below. Find the median and the interquartile range of the salaries of the employees in company $$\(A\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................
Exam No:9709_s20_qp_53 Year:2020 Question No:6(b)
Answer:
Median \(=[\$] 42000\)
\(\mathrm{LQ}=[\$] 35000\)
\(\mathrm{UQ}=[\$] 52000\)
\(\mathrm{IQR}=[\$ 117000\)
\((\mathrm{FT}\) if \(49000 \leqslant \mathrm{UQ} \leqslant 53000-32000 \leqslant \mathrm{LQ} \leqslant 41000)\)
\(\mathrm{LQ}=[\$] 35000\)
\(\mathrm{UQ}=[\$] 52000\)
\(\mathrm{IQR}=[\$ 117000\)
\((\mathrm{FT}\) if \(49000 \leqslant \mathrm{UQ} \leqslant 53000-32000 \leqslant \mathrm{LQ} \leqslant 41000)\)
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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