Lions 和 Tigers 是两家篮球俱乐部。他们的一线队各有 11 名队员，身高（单位为厘米）如下表所示。

(a) 画一幅背靠背茎叶图表示这些数据，将 Lions 的数据放在左侧。

(b) 求 Lions 一线队队员身高的中位数和四分位距。

已知 Tigers 队员身高的下四分位数为 $183\,\mathrm{cm}$，中位数为 $190\,\mathrm{cm}$，上四分位数为 $195\,\mathrm{cm}$。

(c) 就 Lions 一线队与 Tigers 一线队队员的身高作出两项比较。

Answer all questions. You should use a calculator where appropriate.

You must show all necessary working clearly; no marks will be given for unsupported answers from a calculator.

Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.

请回答所有题目。适当时应使用计算器。必须清楚展示所有必要的计算过程；仅给出计算器答案而没有过程，不予评分。除非题目另有精度要求，非精确数值答案保留 3 位有效数字，以度为单位的角度保留 1 位小数。

用茎16至20、个位作叶，Lions左侧从茎向外递增，图例含两队名称及厘米。

Use stems $16,17,18,19,20$, with Lions on the left and Tigers on the right. Order leaves away from the stem on both sides.

Key: $1\mid18\mid3$ means 181 cm for Lions and 183 cm for Tigers.

11人的中位数第6项，四分位数第3与第9项。

The ordered Lions heights are

The median is the 6th value, 186 cm. The lower and upper quartiles are 179 cm and 190 cm, so

分别比较中位数及四分位距，明确是身高的典型大小和离散程度。

The Tigers are generally taller: their median height is 190 cm, compared with 186 cm for the Lions.

The Tigers’ heights are slightly less consistent: their interquartile range is $195-183=12$ cm, compared with 11 cm for the Lions.