章节大纲

  • 常规

    全部折叠 展开全部

  • 寻找 MAMAD 任务

    Data Set
    ::数据集数据集

    Take a look at this data set : { 1, 2, 3, 4, 5, 6, 7, 8, 9} 
    ::看看这个数据集: {1, 2, 3, 4, 5, 6, 7, 8, 9}

    1. Use what you've learned about averages and calculate the mean of the data set above.
      ::使用你所学的平均数 计算上面的数据集的平均值
    2. Now, calculate the distance each value is from the mean. For instance, the number 9 has a distance of 4 units from the mean (ie. 9 - 5 = 4).
      ::现在,计算每个值的距离是平均值的距离。例如,数字9与平均值(即9-5=4)相差4个单位。

    In the interactive below, fill out each of the data points’ distance from the mean in order to see by how much each data point varies from the center.
    ::在下文互动部分,填写每个数据点与平均值的距离,以便了解每个数据点与中心之间的差别。

     

    INTERACTIVE
    Calculate Distance to the Mean
    minimize icon

    Enter the distances to the mean for each data point.
    ::输入每个数据点到平均值的距离。

    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

     

    1. Now find the mean of this resulting set of values (ie. the "distance from the mean" values) . What do think this number tells you about the data set? 
      ::现在找到这组结果的值的平均值( 即“ 与平均值的距离 ” 值 ) 。 这个数字告诉您关于数据集的信息是什么 ?

    The mean absolute deviation (MAD)  is the mean (average) distance between each data value and the mean of the data set. It can be used to quantify the spread in the data set and also be helpful in answering in the real world. 
    ::绝对偏差(MAD)是每个数据值与数据集平均值之间的平均距离,可用于量化数据集中的分布,也有助于在现实世界中回答问题。

    Remember that distance is always positive, so when calculating MAD, your distances should never be negative! 
    ::记住距离总是正数, 所以计算MAD时, 距离不应该是负数!

     

    What's the Variability in Building Heights?
    ::建筑高地的变异性是什么?

    The following data represent the height, in feet, of various buildings in the city.
    ::以下数据代表该市各种建筑物的高度(以英尺计)。

    54 , 56 , 63 , 65 , 62 , 59 , 56 , 58

    Find the mean absolute deviation (MAD) for the data set. 
    ::查找数据集的平均绝对偏差(MAD)。

    1. Calculate the mean of the entire data set. Round to the nearest whole number.
      ::计算整个数据集的平均值。四舍五入到最近的整数。
    2. C alculate and note the distance of each value from the mean.
      ::计算并注意每个值与平均值的距离。
    3. Calculate the MAD by finding the mean of the distances from the mean ( part b) . Round to the nearest whole number.  
      ::计算 MAD 时,要找到平均值(b部分)的距离平均值。圆到最近的整数。

    Use this interactive to learn how to calculate the MAD of the building heights in the city.
    ::使用此互动来学习如何计算城市建筑高度的 MAD 。

     

    INTERACTIVE
    What's the Variability in Building Heights?
    minimize icon

    Building heights in feet are 54, 56, 63, 65, 62, 59, 56, 58. What is the mean absolute deviation?
    ::建筑物脚高54、56、63、65、62、59、56、58。 绝对偏差是多少?

    • Enter the values for each step of finding the MAD using the white boxes.
      ::输入使用白色框查找 MAD 的每个步骤的值。
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

     

     

     

     

    Does the Bus Driver Meet His Goal?
    ::巴士司机达到他的目标了吗?

    A bus route takes 45 minutes. The company's goal is a mean absolute deviation (MAD) of less than 30 seconds (0.5 minutes).
    ::公共汽车路线需要45分钟,公司的目标是在30秒以下(0.5分钟)的平均绝对偏差(MAD)。

    One driver's times for 9 runs of the route are shown. Did the bus driver meet the goal?
    ::显示路线9次运行的1名司机的次数。 公共汽车司机达到目标了吗 ?

    { 44.2 ,   44.9 ,   46.1 ,   45.8 ,   44.7 ,   45.2 ,   45.1 ,   45.3 ,   44.6 }

    Use the interactive questions below to help you determine if the driver met his goal, and by how much he did or did not make it.
    ::使用下面的交互问题来帮助您确定驱动程序是否达到了他的目标,以及他做了多少或没有做多少。

     

     

      

    Engineering a Catapult
    ::a 工程投石图

    An engineer is testing two designs for a catapult. She wants the catapult to launch objects at least 150 feet. The engineer records the distances in feet for 8 trials for the two designs. 
    ::工程师正在测试弹射脉冲的两种设计。 她希望弹射脉冲至少发射150英尺的物体。 工程师记录了两种设计8次试验的距离。

    Catapult A: 144, 154, 148, 156, 150, 153, 151, 150 
    ::炮弹A:144、154、148、156、150、153、151、150

    Catapult B: 150, 148, 149, 144, 152, 150, 151, 147 
    ::弹射B:150、148、149、144、152、150、151、147

    In the next interactive, compare the relationships between the data points of the catapults and their means.
    ::在下一次互动中,比较弹射点的数据点与其手段之间的关系。

     

    INTERACTIVE
    Engineering a Catapult
    minimize icon
    • Toggle "Catapult A" and "Catapult B" to show/hide the two data sets.
      ::切换“ Catapult A” 和“ Catapult B” 以显示/隐藏这两个数据集 。
    • Toggle "Show distances to the mean" and "Show values of points" to show different values in the interactive.
      ::切换“ 显示距离到平均值” 和“ 显示点值” 以显示互动中的不同值 。
    • Drag the pink and blue points to adjust the data.
      ::拖曳粉色和蓝色点以调整数据 。
    Your device seems to be offline.
    Please check your internet connection and try again.
    +
    Do you want to reset the PLIX?
    Yes
    No

     

    1. Calculate the mean absolute deviation for Catapult A:
      1. What's the mean of the entire data set?
        ::整个数据组是什么意思?
      2. What is each data point's distance from the mean?
        ::每个数据点与平均值的距离是多少?
      3. Find the MAD using your answer from 1b.
        ::使用您从 1b 获得的答复查找 MAD 。

      ::计算 Catapult A 的绝对偏差平均值: 整个数据集的平均值是多少? 每个数据点与平均值的距离是多少? 使用您从 1b 的答案查找 MAD 。
    2. Calculate the mean absolute deviation for Catapult B. Use the same steps you used to calculate Catapult A.
      ::计算 Catapult B 的绝对偏差平均值。 使用与您用来计算 Catapult A 相同的步骤 。
    3. Compare the MADs. How do the MADs describe the distribution of distances that  each catapult reached?
      ::比较 MAD 。 MAD 如何描述每次弹射达到的距离分布 ?

       Summary
    ::摘要

    To calculate the mean absolute deviation (MAD), you do the following steps:
    ::要计算平均值绝对偏差(MAD),您可采取以下步骤:

    1. Find the mean of the data set by adding all the values and dividing by the number of values there are.
      ::通过添加所有值并除以数值数来查找数据集的平均值。
    2. S ubtract to find the distance each data value is from the mean (from Step 1) of the data set.
      ::为寻找每个数据值的距离,从数据集平均值(第1步)中减去。
    3. Find the mean of the distances by dividing the sum of the distances by the number of values.
      ::通过将距离之和除以数值数来查找距离的平均值。

    The MAD is a measure of variability that helps you determine how spread out the data is from each other.
    ::MAD是一种可变性的量度,有助于确定数据是如何从彼此之间传播的。