社統上學期複習

The greater distance between mean and median, the greater skewness of a distribution.
平均數和中位數之間的距離越大，分佈的偏度越大。 

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When a distribution is perfectly symmetrical, all mode, median and mean will be the same.
當分佈完全對稱時，眾數、中位數和平均數將相同。

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Mode is a better measure than mean for interval-ratio variable when there are two peaks in a distribution.
當分佈有兩個峰值時，眾數比平均數更適合作為等距等比變項的衡量指標。 

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Students usually prefer a right-skewed distribution than a normal distribution.
學生通常更喜歡右偏（正偏）分佈，而不是常態分佈。

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IQR measures the variation for the highest 50% of the scores in a distribution.
IQR（四分位距）測量的是分佈中最高50%得分的變異情況。

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All the following measures can be zero: sum of deviation, sum of squares (SS), variance.
以下所有衡量指標都可以是零：離差加總、差平方和 (SS)、變異數。

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When adding a constant to each score in a distribution, both the variance and standard deviation will not change.
當向分佈中的每個分數都加上一個常數項時，變異數和標準差不會改變。

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When all the scores are negative in a distribution, the range will be negative.
當分佈中的所有得分都是負數時，全距將為負數。

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When a distribution is positively skewed, the mean is greater than the median.
當分佈右偏時，平均數大於中位數。

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There are four quartiles in a distribution.
一個分佈中有四個四分位數。

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