Statıstıcs I Deneme Sınavı Sorusu #803985

I. The mean is pulled in the direction of the tail.

II. The median falls between the mode and the mean.

III. The mean, median, and mode are all the same.

If the distribution is left skewed, having a long tail in negative direction and a single peak, which of the statements above are true?


Only I

I and II

I and III

II and III

I, II and III


Yanıt Açıklaması:

The measures of skewness are another kind of descriptive statistics and give information about the shape of distribution of the observations. A data set which is not symmetrically distributed is called skewed. The mainly observed shapes of distribution are symmetric, left skewed (negatively skewed), and right skewed (positively skewed). If the distribution is unimodal symmetric, the mean, median, and mode are all the same. If the distribution is left skewed, having a long tail in negative direction and a single peak, the mean is pulled in the direction of the tail, and the median falls between the mode and the mean. The correct answer is B. 

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