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The solutions to quiz 1 of math 243, focusing on descriptive statistics and z-scores. Topics covered include identifying skewed distributions, calculating z-scores, and interpreting the five number summary. Students will learn how to determine the skewness of a distribution, understand the relationship between the mean and median for skewed distributions, and calculate z-scores to compare data points to a distribution.
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Quiz 1 Name solutions Math 243 GTF April 3, 2009 Disc. Time
(a)
Skewed right (b) Skewed left (c) Symmetric (d) None of the above
(a) The mean to be significantly greater than the median. (b)
The mean to be significantly less than the median. (c) The mean to be approximately equal to the median. (d) None of the above
z =
(a) Make a stem plot of these data. 0 3 3 7 1 4 2 1 1 7 3 2 5 5 4 2 2 5 5 8 9 9 5 6 6 3 7 0 (b) Calculate the five number summary of these data.
min = 3, Q 1 = 21, median = 38. 5 , Q 3 = 48. 5 , max = 70
(c) Is 70 an outlier? No.