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1.28 A Recurring Illness The length of time EXD126 (in months) between the onset

ID: 2972240 • Letter: 1

Question

1.28 A Recurring Illness The length of time EXD126 (in months) between the onset of a particular illness and its recurrence was recorded for n 50 patients: 2.1 4.4 2.7 32.3 9.9 9.0 2.0 6.6 3.9 1.6 14.7 9.6 16.7 7.4 8.2 19.2 6.9 4.3 3.3 1.2 4.1 18.4 0.2 6.1 13.5 7.4 0.2 8.3 0.3 1.3 14.1 1.0 2.4 2.4 18.0 8.7 24.0 1.4 8.2 5.8 1.6 3.5 11.4 18.0 26.7 3.7 12.6 23.1 5.6 0.4 a. Construct a relative frequency histogram for the data. b. Would you describe the shape as roughly symmetric, skewed right, or skewed left? c. Give the fraction of recurrence times less than or equal to 10 months.

Explanation / Answer

1.28 A Recurring Illness The length of time EXD126 (in months) between the onset of a particular illness and its recurrence was recorded for n 50 patients: 2.1 4.4 2.7 32.3 9.9 9.0 2.0 6.6 3.9 1.6 14.7 9.6 16.7 7.4 8.2 19.2 6.9 4.3 3.3 1.2 4.1 18.4 0.2 6.1 13.5 7.4 0.2 8.3 0.3 1.3 14.1 1.0 2.4 2.4 18.0 8.7 24.0 1.4 8.2 5.8 1.6 3.5 11.4 18.0 26.7 3.7 12.6 23.1 5.6 0.4 a. Construct a relative frequency histogram for the data. b. Would you describe the shape as roughly symmetric, skewed right, or skewed left? c. Give the fraction of recurrence times less than or equal to 10 months.

b. skewed left/positively skewed,positively skewed/ skewed left since majority of the symmetry lies on the left(i.e. lower values of x)

c. Give the fraction of recurrence times less than or equal to 10 months.
Answer: 72%

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