10.5 中心与差异的计量-interactive
章节大纲
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Measures of Center and Spread
::中心措施和传播Recall that a measure of center , or central tendency, is a single number used to describe a set of numeric data . It describes a typical value within the data set .
::回顾衡量中心或中心趋势是用来描述一组数字数据的单一数字。它描述了数据集中的典型值。The mean and are the two most common measures of center. The mean is often called the average .
::平均值是中枢的两个最常见的衡量标准。 平均值通常被称为平均值 。A measure of variability is a single number used to describe the spread of a data set.
::衡量可变性的尺度是用来描述数据集分布的单一数字。Use the interactive below to visualize how a change in center or a change in spread will affect a distribution .
::使用下面的交互效果来直观显示中心变化或扩散变化将如何影响分布。Progress0 / 61.True or False? The mean and median are measures of center.
::是真实的还是假的?中中值和中位数是中间的量度。TRUE
::真实FALSE
::公平交易Discussion Question
::讨论问题What is the difference between the mean and the median? Discuss your answer with your classmates.
::中位数和中位数有什么区别?
Determining the Difference - Center or Variability?
::确定差异 - 中心还是差异?For each of the below, decide if you would answer the question by considering center or considering variability in the data distribution.
::对于以下各点,请决定您是否通过考虑数据分布的中心或变异性来回答问题。
Outlier
::外部Both the mean and the median can be used to describe a distribution's shape and spread however, sometimes the mean can be influenced by a single value called an outlier .
::平均值和中位数都可用于描述分布的形状和分布,但有时该平均值可能受到称为外值的单一值的影响。INTERACTIVEMean vs Median-
Drag the red point and observe the difference between mean and median.
::拖曳红色点并观察平均值和中位数之间的差异。
+Do you want to reset the PLIX?Discussion Question : How do you think adjusting the point above will affect the measure of center?
::讨论问题:你认为调整上述点会如何影响中心度量?When to Use the Median instead of the Mean
::何时使用中位值而不是平均值-
Use the median to find the typical value in a dataset that contains
outliers
.
::使用中位值在包含异常值的数据集中找到典型值 。 -
Use the median to find the typical value in a dataset that is non-symmetric.
::使用中位值在非对称数据集中找到典型值 。
100 Meter Hurdles
::100米外圈Helena is a sixth grader who competes in the 100 meter hurdles. In eight track meets during the season, she recorded the following times (to the nearest one-hundredth of a second):
::圣赫勒拿是六年级学生,在100米高的障碍物上竞争。Running Times (nearest hundredth of a second) 18.11 31.23 17.99 18.25 17.50 35.55 17.44 17.85 Discussion Question
::讨论问题After the completion of Helena's 18 meet season, her 18 hurdle times are listed:
::圣赫勒拿18个会场季节结束后,她18个障碍期列出如下:17.99, 18.25, 17.50, 35.55, 17.42, 17.85, 17.33, 16.98, 32.43, 17.88, 18.10, 17.32, 17.09, 30.45, 17.64, 17.82.
The mean time is 20.475 seconds. The median time is 17.835 seconds. Phillip claims that the median is the better measure of center because Helena appears to have fallen down making that time an outlier. Do you agree or disagree? Support your stance with evidence.
::平均时间是20.475秒,中间时间是17.835秒。菲利普声称中点是中点的最好尺度,因为Helena似乎已经下降,使中点成为异常点。你同意还是不同意?支持你的立场。证据支持你的立场。Summary
::摘要Measures of center = median, mean
::中值=中中值,中值-
Mean - Gives you an idea of the typical value in a data set, but is not always your best measure, especially if there are outliers
::- 平均 - 给您一个数据集中典型值的概念, 但并不总是你最好的衡量尺度, 特别是如果有外部值的话 -
Median - Middle value of the data set; usually a better measure when there are outliers present
::中中值 - 数据集的中值中值;当存在外部线时通常是一个更好的衡量尺度
Measure of variability = mean absolute deviation (MAD) and range
::度量变化量=平均值绝对偏差(MAD)和范围-
Interquartile range is also a measure of variability
::孔径差范围也是衡量可变性的尺度
There are different times or situations in which measures of center or variability will be of better use. This depends on what you are trying to analyze - central tendency or how much variance there is within the data.
::在不同的时间或情况中,中心或变异的测量方法会得到更好的利用。这取决于您在分析的是什么 -- -- 中心趋势或数据中存在多大差异。 -
Drag the red point and observe the difference between mean and median.
