STAT 2110 Central University of Venezuela Coefficient of Variation Exercises

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nonn1234

Mathematics

STAT 2110

Central University of Venezuela

STAT

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just complete the word sheet by using the excel sheet it is due 12 hours. you will see the question on the files.

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A B 1 STAT 2110-K 2 3 Test On Ch 1,2, 3 4 102 5 102 6 100 7 99 8 96 9 96 10 95 11 95 12 94 13 93 14 92 15 92 16 90 17 89 18 89 19 89 20 88 21 88 22 88 23 88 24 88 25 87 26 87 27 87 28 87 29 86 30 84 31 81 32 80 33 76 34 74 35 73 36 63 37 62 38 34 39 32 C D E F G H I Fall 2020 Test on Ch 1, 2, & 3 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count 84,61111 2,616273 88 88 15,69764 246,4159 5,159172 -2,15259 70 32 102 3046 36 Test on 103 100 99 97 97 96 96 94 88 86 85 80 80 80 80 79 73 73 72 72 71 70 66 64 59 59 55 53 52 44 37 36 Ch4-5 Test on Ch 4 & 5 Mean Standard Error Median Mode Standard Deviation Sample Variance Kurtosis Skewness Range Minimum Maximum Sum Count 74,875 3,302843 76 80 18,6837 349,0806 -0,58573 -0,41192 67 36 103 2396 32 NAME _____________________ Stat 2110 Fall 2020 23 Possible Bonus Points This is Bonus: You must show all formulas and work in order to get the bonus points for that question. Your test score Ch 1,2, 3 Test ___87______ Your test score ch 4,5__84_______ 1). Find your z- score for the test #1 on ch 1,2, 3 and for the test # 2 on Ch 4-5. Be sure to show your formula and work for both: (3 points each) Watch your rounding rules. Ch 1,2, 3 Ch 4-5 2). Using the z-scores above, A). which test did you score better on? (Worth 1 points) B). Why do you think you did better on that test? (Worth 1 points) 3). Find your percentile for both tests. Again, be sure to show your formula and work. (Worth 3 points each) Ch 1,2, 3 Ch 4,5 4). Find the Coefficient of Variation (Variation Coefficient) for both tests. Again, be sure to show your formula and work. (Worth 2 points each) Ch 1,2,3 Ch 4,5 5). Comparing the 2 tests, which test had the higher mean score, what was that mean, and how much was the difference between the two means? (Worth 2 points) 6). Comparing the 2 tests, which test had the higher standard deviation, what was that standard deviation, and how much was the difference between the two standard deviations? (Worth 3 points)
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NAME _____________________
Stat 2110 Fall 2020
23 Possible Bonus Points
This is Bonus: You must show all formulas and work in order to get the bonus
points for that question.
Your test score Ch 1,2, 3 Test ___87______

Your test score ch 4,5__84_______

1). Find your z- score for the test #1 on ch 1,2, 3 and for the test # 2 on Ch 4-5.
Be sure to show your formula and work for both: (3 points each) Watch your
rounding rules.
We know that 𝑧 − 𝑠𝑐𝑜𝑟𝑒 =

𝑦𝑜𝑢𝑟 𝑡𝑒𝑠𝑡 𝑠𝑐𝑜𝑟𝑒−𝑚𝑒𝑎𝑛 𝑔𝑟𝑎𝑑𝑒
𝑠𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛

Ch 1,2, 3

Ch 4-5

For chapter 1,2,3 your test score is 87, the mean
grade is 84.61111 and the standard deviation is
15.69764, so
𝑧 − 𝑠𝑐𝑜𝑟𝑒 =

87 − 84.1111
= 0.1522
15.69764

For chapter 4-5 your test score is 84, the mean
grade is 74.875 and the standard deviation is
18.6837, so
𝑧 − 𝑠𝑐𝑜𝑟𝑒 =

84 − 74.875
= 0.4884
18.6837

2). Using the z-scores above, A). which test did you score better on? (Worth 1
points)
The test score on the chapter 4-5 test.

B). Why do you think you did better on that test? (Worth 1 points)
Because the z-score for the chapter 4-5 is larger
than the z-score for the chapter 1,2,3. So, the test
score for chapter 4-5 is at a score 0.4884...


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