Mathematics 9709 · AS & A Level · Sampling and estimation

Sampling and estimation — practice question

The diagonal lengths, measured in metres, for the $9$ most popular flat screen TVs and the $9$ most popular conventional TVs are listed here. Flat screen: $0.85$, $0.94$, $0.91$, $0.96$, $1.04$, $0.89$, $1.07$, $0.92$, $0.76$. Conventional: $0.69$, $0.65$, $0.85$, $0.77$, $0.74$, $0.67$, $0.71$, $0.86$, $0.75$.
(i)[4]

Display this data in a back-to-back stem-and-leaf diagram.

(ii)[3]

Determine the median and the interquartile range for the diagonal lengths of the $9$ conventional TVs.

(iii)[2]

Determine the mean and standard deviation for the diagonal lengths of the $9$ flat screen TVs.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate stem-and-leaf construction with integer stems

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