4) The five-number summary (min, Q1, median, Qs, max) for the set (16. 42. 95. 3

Question

4) The five-number summary (min, Q1, median, Qs, max) for the set (16. 42. 95. 3. 6. 10. 17. 14. 18. 37. 92. 19, 2020, 25) is (A) 3,3, 15.5.92,95) (B) 3, 14, 19,19, (C) (3, 14,37,37,95 (D) (3,14,20.5,37,95) E) (3, 14, 19,37,9 5) Which observation has the higher -score? l:= 25:2 = 12.9: s = 3.7 II: 137.5 73.7: s = 17.1 (A)I (B) (C) z-scores are equal (D) cannot be determined since we don't know the standard deviations of the populations (E) cannot be determined since we don't know if the populations are normal (6) If n = 150 and a score of 75 is in the 30'h percentile, what is the percentile, what is the percentile position of a score of 100? (A) 45t (B) 50 (C) 63 (D) 75A (E) cannot be determined (7) The quartile and percentile positions of the value 10 in the set (10,6, 8,9,12, 17,32, 16) are: (A) Qs:38 (B) Q2:38 (C) Qa:26 (D) Q:26 (E) none of these. (8) If each of value of a data set is increased by 10, the effects on the mean and standard deviation can be summarized as (A) mean increases by 10, standard deviation remains unchanged. (B) standard deviation increases by 10; mean remains unchanged. (C) mean unchanged; standard deviation remains unchanged (D) mean increases by 10; standard deviation increases by 10 (E) the effect depends on the type of distribution

Explanation / Answer

4)

Minimum value = 3

first quartile = [(n+1)/4]th term = 4th term (after ascending order) = 14

Median = [(n+1)/2]th term = 8th term (after ascending order) = 19

Third quartile =  [3(n+1)/4]th term = 12th term (after ascending order = 37

Maximum value = 95

option E is correct

5) option B, i.e II

since Z score = 137.5 - 73.7 / 17.1 = 3.73

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