Description
Please answer the following questions and show your work. You can submit this assignment through word, excel or complete it by hand and upload it to canvas as an image or PDF. If you do this by hand, please make sure your work and answers are clear.
1. Find the median (1 point)
11, 2, 5, 21, 11, 10, 8, 11, 7, 7, 15
2. Find the mode (1 point)
61, 41, 8, 39, 36, 11, 41, 21, 41, 32, 51, 24, 44, 24, 41, 61
3. Find the mean (1 point)
9, 0, 11, 11, 16, 17, 21, 77
4. Find the range (1 point)
15, 9, 7, 61, 24, 32, 63, 41
5. Find the population variance of the scores below (2 points)
11, 21, 15, 17, 10, 5, 22
6. Using the variance from #5, find the standard deviation. (2 points)
7. Below are scores for Statistic exams, find the sample standard deviation (2 points)
71, 81 ,77, 85, 95 ,98, 82
Please answer the following questions and show your work. You can submit this assignment through word, excel or complete it by hand and upload it to canvas as an image or PDF. If you do this by hand, please make sure your work and answers are clear.
1. Suppose for a sample with a standard deviation of 10, a score of X = 44 corresponds to a Z score of -0.50. Based on this info, what is the sample mean? (2 points)
2. For a sample with mean = 50 and standard deviation = 10…(6 points)A. Find the z-score for each of the following X values:X = 60
X = 75
X = 30
B. Now find the score (X value) that corresponds to each of the following z-scores:
z = 0.8
z = 1.5
z = -1.5
3. Which of the following exam scores should lead to the better grade? Explain your answer. (4 points)
A. A score of X = 55 on an exam that has a mean of 60 and a standard deviation of 5.
B. A score of X = 40 on an exam that has a mean of 50 and a standard deviation of 20.
4. The test scores for a local DMV had an average of 20 and a standard deviation of 5. Hank scored a 23 (2 points)
What is the z-score for Hank?
5. Using the scores from number 5, show where Hanks score would land on a standard normal curve (2 points)
6. In your own words, explain what the empirical rule AKA the 68-95-99 rule is. (2 points)
7. In a normal distribution, the area under the curve can be greater than 1. True or false? (1 point)
8. What percentage of scores are +/- 2 Standard Deviations from the mean? (1 point)
