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please solve all questions with explanation 3.11 Example Exam I Questions 1. A d

ID: 3206825 • Letter: P

Question

please solve all questions with explanation 3.11 Example Exam I Questions 1. A data set includes five observations: (8, 10, 8, 52, 9). What would you report as a typical value of this data sct? a. The sample median because the median is always the best central measure b. The sample median because an outlier produces a misleading mean. c. The sample mean because an outlier produces a misleading median. d. The sample mean because the mean is always the best central measure. 2. Four parts were subjected to a crash test with two potential outcomes: 1 (for success) and 0 (for failure), results were as follows: (1, 1, 0, 1). What is the value of the sample proportion of failures? a. 0.5 b. 0.4 c. 0.75 d. 0.25 3. The deviation from the mean for a data point is the difference between that data point and the sample mean. For a sample of size n 2, the first deviation from the mean is given as 1. What is the second deviation from the mean? b. 1 c, 0 d. There is not enough information to calculate 4. Sample l consists of two values: (0, 1) and the sample variance is 0.5. Sample 2 is given as (10, 11), obtained by adding 10 to each observation in Sample 1. What is the variance of Sample 2? a. 10.5 b, 21 c. 0.5 13

Explanation / Answer

1.

B) The sample mean because an outlier produces a misleading mean

2.

In 4 trials there is 1 failure, hence failure proportion is 1/4 = 0.25 (option d)

4.

Variance will remain same 0.5 (option C)