Question Solved1 Answer Consider the following data set: 9, 8, 1, 4, 6, 6, 3, 4, 8, 7, 4, 0. (a) Find the five-number summary and the IQR. Min Q Median Q Max IQR (b) Calculate x and s. (Round your standard deviation to three decimal places.) X (c) Calculate the z-score for the smallest and largest observations. (Round your answers to two decimal places.) Z-score for smaller observation Z-score for larger observation Is either of these observations unusually large or unusually small? Since both Z-scores exceed 2 in absolute value, both of the observations are unusual Since the 2-score for the larger observation is targer than 2 in absolute value, the larger value is unusually large. Since the score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small. Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large.
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Transcribed Image Text: Consider the following data set: 9, 8, 1, 4, 6, 6, 3, 4, 8, 7, 4, 0. (a) Find the five-number summary and the IQR. Min Q Median Q Max IQR (b) Calculate x and s. (Round your standard deviation to three decimal places.) X (c) Calculate the z-score for the smallest and largest observations. (Round your answers to two decimal places.) Z-score for smaller observation Z-score for larger observation Is either of these observations unusually large or unusually small? Since both Z-scores exceed 2 in absolute value, both of the observations are unusual Since the 2-score for the larger observation is targer than 2 in absolute value, the larger value is unusually large. Since the score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small. Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large.
More Transcribed Image Text: Consider the following data set: 9, 8, 1, 4, 6, 6, 3, 4, 8, 7, 4, 0. (a) Find the five-number summary and the IQR. Min Q Median Q Max IQR (b) Calculate x and s. (Round your standard deviation to three decimal places.) X (c) Calculate the z-score for the smallest and largest observations. (Round your answers to two decimal places.) Z-score for smaller observation Z-score for larger observation Is either of these observations unusually large or unusually small? Since both Z-scores exceed 2 in absolute value, both of the observations are unusual Since the 2-score for the larger observation is targer than 2 in absolute value, the larger value is unusually large. Since the score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small. Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large.
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Given data:- 9,8,1,4,6,6,3,4,8,9,4,0Ascending order:- 0,1,3,4,4,4,6,6,7,8,8,9 here n=12minimum =0quad maximum =9Q1= value of ((n+1)/(4))^("th ") observationQ1 = value of (3.25)^("th ") observation{:[Q1=3^(rd)0bs^(n)+0.25(4^("th ")-3^("rd "))0bs^(n)],[=3+0.25(4-3)],[=3.25]:}{:[" Median = value of "((n+1)/(2))^("th ")" observation "],[=" value of "6.5^("th ")" observation "],[=4+0.5(6-4)],[" Median "=5],[" Q3 = value of "((3(n+1))/(4))^("th ")" observation "],[" = value of "(9.75)^("th ")" observation "],[=g^("th ").0 ... See the full answer