Questions

• Measures of Dispersion Understand the concept of standard deviation for both grouped and ungrouped data sets Compare dispersions of different data sets using appropriate measures

  The bar chart below shows the distribution of the numbers of rings owned by the girls in a group. Find the standard deviation of the distribution correct to 2 decimal places.

  

  2012

• Measures of Central Tendency

  考慮以下數據： $\begin{array}{11111111111} 19& 10&12&12&13&13&14&15&16&m& n \end{array}$ 如果上述數據的平均數和中位數都是14，那麼以下哪些是真的？ I. $m \geq 14$ II. $n \leq 16$ III. $m+n=30$

  2012

• Measures of Dispersion Understand the concept of dispersion Understand the concept of standard deviation for both grouped and ungrouped data sets

  設 $m_{1}, r_{1}$ 和 $v_{1}$ 分別是一組數字 $\left\{x_{1}, x_{2}, x_{3}, \ldots, x_{100}\right\}$ 的平均值、範圍和方差。如果 $m_{2}, r_{2}$ 和 $v_{2}$ 分別是數字組 $\left\{x_{1}, x_{2}, x_{3}, \ldots, x_{100}, m_{1}\right\}$ 的平均值、範圍和方差，以下哪些必定為真？ I. $m_{1}=m_{2}$ II. $r_{1}=r_{2}$ III. $v_{1}=v_{2}$

  2012

• Measures of Central Tendency

  如果九個數字$14,6,4,5,7,5,x,y$和$z$的平均數和眾數分別是$8$和$14$，那麼這九個數字的中位數是

  2013

• Measures of Dispersion Construct and interpret the box-and-whisker diagram to compare data distributions Understand the concepts of range and inter-quartile range

  下面的莖葉圖顯示了一些工人的每小時工資（以美元計）的分佈。 以下哪個箱形圖可能代表他們的每小時工資分佈？

  

  2013

• Measures of Dispersion Understand the effect of adding/multiplying a constant on the dispersion of data

  若五個數字 $x_{1}, x_{2}, x_{3}, x_{4}$ 和 $x_{5}$ 的方差為 $13$，則五個數字 $3 x_{1}+4,3 x_{2}+4,3 x_{3}+4,3 x_{4}+4$ 和 $3 x_{5}+4$ 的方差為

  2013

• Measures of Dispersion Understand the concept of standard deviation for both grouped and ungrouped data sets Compare dispersions of different data sets using appropriate measures

  在某考試中，文俊得了55分，他的標準分是-3；小麗得了95分，她的標準分是2。求該考試分數的平均值。

  2014

• Measures of Dispersion Understand the effect of adding/multiplying a constant on the dispersion of data

  若四個數 $a 、 b 、 c$ 及 $d$ 的方差為 9，則 $14-a 、 14-b 、 14-c$ 及 $14-d$ 這四個數的方差為

  2014

• Measures of Dispersion Understand the concepts of range and inter-quartile range Construct and interpret the box-and-whisker diagram to compare data distributions

  下面的框線圖顯示在某學期一些教師的閲書數目的分佈。求該分佈的四分位數間距。

  

  2015

• Measures of Central Tendency

  考慮以下整數 : $\begin{array}{111111111111111}2&2&3&3&3&3&5&5&6&8&9&10&m\end{array}$ 設 $p 、 q$ 及 $r$ 分別為以上整數的平均值、中位數及眾數。若 $3 \leq m \leq 5$, 則下列何者必為正確? I. $p>q$ II. $p>r$ III. $q>r$

  2015