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    Question

    Suppose two distributions have the same mean, same

    standard deviation and are equally skewed, but the first distribution is more peaked than the other. This feature of the frequency distributions in which they are different are called
    A Central Tendency Correct Answer Incorrect Answer
    B Dispersion Correct Answer Incorrect Answer
    C Symmetry Correct Answer Incorrect Answer
    D Kurtosis Correct Answer Incorrect Answer
    E Skimmatric Correct Answer Incorrect Answer

    Solution

    Kurtosis is a statistical measure that defines how heavily the tails of a distribution differ from the tails of a normal distribution. In other words, kurtosis identifies whether the tails of a given distribution contain extreme values. It is actually themeasure of outlierspresent in the distribution. Types of Kurtosis Mesokurtic : This distribution has kurtosis statistic similar to that of the normal distribution. It means that the extreme values of the distribution are similar to that of a normal distribution characteristic. This definition is used so that the standard normal distribution has akurtosis of three. Leptokurtic (Kurtosis > 3) :Distribution is longer, tails are fatter. Peak is higher and sharper than Mesokurtic, which means that data are heavy-tailed or profusion of outliers. Outliers stretch the horizontal axis of the histogram graph, which makes the bulk of the data appear in a narrow (“skinny”) vertical range, thereby giving the “skinniness” of a leptokurtic distribution. Platykurtic: (Kurtosis < 3 ):Distribution is shorter, tails are thinner than the normal distribution. The peak is lower and broader than Mesokurtic, which means that data are light-tailed or lack of outliers. The reason for this is because the extreme values are less than that of the normal distribution.

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