Problem

The weights, to the nearest kilogram, of a sample of 33 female spotted hyenas living in the Serengeti are summarised in the stem and leaf diagram below.

(a) Find the median and quartiles for the weights of the female spotted hyenas.

An outlier is defined as any value greater than $c$ or any value less than $d$ where

$$c=Q_3+1.5(Q_3-Q_1),\qquad d=Q_1-1.5(Q_3-Q_1)$$

(b) Showing your working clearly, identify any outliers for these data.

The weights, to the nearest kilogram, of a sample of male spotted hyenas living in the Serengeti are summarised below.

(c) In the space provided in the grid above, draw a box and whisker plot to represent the weights of female spotted hyenas living in the Serengeti. Indicate clearly any outliers.

A copy of this grid is on page 9 if you need to redraw your box and whisker plot.

(d) Compare the weights of male and female spotted hyenas living in the Serengeti.

中文翻译

一组生活在塞伦盖蒂的 33 只雌性斑鬣狗的体重（精确到最接近的千克）由茎叶图汇总。

(a) 求雌性斑鬣狗体重的中位数及四分位数。

离群值定义为任何大于 $c$ 或小于 $d$ 的数值，其中 $c=Q_3+1.5(Q_3-Q_1)$，$d=Q_1-1.5(Q_3-Q_1)$。

(b) 清楚写出计算过程，并找出数据中的离群值。

一组雄性斑鬣狗的体重资料如图所示。

(c) 在上方网格中绘制雌性斑鬣狗体重的箱线图，并清楚标出离群值。若需重画，可使用第 9 页所附的网格。

(d) 比较塞伦盖蒂雄性与雌性斑鬣狗的体重。