STAT231 Study Guide - Box Plot, Quartile, Variance
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Tutorial 1: in a particular class of 39 students the number of hours of sleep before a final exam were (ordered from smallest to largest) : Let yi be the number of hours of sleep for the ith student i 1, ,39. Then i 1 (a) find the following for these data: 2 1338. 37 (i) sample mean, median, mode (ii) sample variance, sample standard deviation, range (iii) lower or first quartile, upper or third quartile, interquartile range (iqr) (iv) five number summary. Explain, in terms of summarizing the given data, what each of the values means. (b) suppose y g , . Find p |y | and p |y | 2 . Determine the intervals y s,y s and. Y 2s,y 2s for the given data. Comment on this result in light of the probability statements. (c) a relative frequency histogram of the data is given below along with the values of the sample skewness and kurtosis.
