Given the following data sat: 9, 7, 2, 4, 7, 5, 4, 6, 6, 6, 3, 1 Find the five-n

Question

Given the following data sat: 9, 7, 2, 4, 7, 5, 4, 6, 6, 6, 3, 1 Find the five-number summary and the IQR. (Enter exact numbers as Integers, fractions, or decimals.) IQR = Calculate and s. (Round your standard deviation to three decimal places.) s = Calculate the z-score for the smallest and largest observations. (Round your answers to two decimal places.) z-score for smaller observation z = z-score for larger observation z = 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 z-score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small. Since the z-score for the larger observation is larger than 2 in absolute value, the larger value Is unusually large. Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large.

Explanation / Answer

(a) 1 2 3 4 4 5 6 6 6 7 7 9

Min = 1 ; Q1 = 3.5; Median = 5.5 ; Q3 = 6.5; Max = 9

IQR = Q3-Q1 = 3

(b) Mean = 5

Variance = 4.8333

(c) Z score for the smallest observation = -1.8194

Z- score for the larget observation = 1.8194

Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large

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