Many students at popular school in Timbuktu have been complaining that there seems to be some level of inconsistency with the marking of essays among teachers. To verify if there is any truth to this, a group of students submitted the same essay to different teachers. The grade awarded by each teacher for each essay was recorded. Use the data below to answer the questions that follow. Essay Quarrie Taylor Wilson Forbes 1 62 63 65 68 2 58 60 61 64 3 63 68 72 58 4 64 65 65 61 5 60 63 66 67 6 62 66 65 59 7 57 67 71 60 8 58 68 65 67 9 59 69 64 62 10 63 60 67 66 11 65 64 62 63 12 61 61 73 64 13 60 62 65 68 14 59 68 68 70 15 57 66 69 71 16 56 63 60 68 17 62 60 61 69 Question 1 Classify the variables and the measurement scale used. Question 2 Discuss the sampling method that you think was used for this research. Question 3 List two limitations of the method selected. Discuss two (2) possible types of errors that may arise in this research. Question 4 Calculate one (1) appropriate measure of central tendency using the data for each teacher and explain your choice. *There are a total of four teachers, so there should be a total of four measure of central tendencies. Question 5 Use the data to generate any three (3) appropriate graphs. *Your answer should include a total of three graphs. Question 6 Is the mean score for each teacher the best measure of central tendency to confirm whether or not there is inconsistency with the marking of essays among teachers? Question 7 Compute and explain skewness of the grades for any two (2) teachers using Pearson's 1 st measure of skewness. *This means that you should have only two sets of calculations for this part of the question. *A total of two (curves). * Hand-drawn curves are acceptable. Question 8 How could knowledge of probabilities be used to analyse the data given in the table?
Many students at popular school in Timbuktu have been complaining that there seems to be some level of inconsistency with the marking of essays among teachers. To verify if there is any truth to this, a group of students submitted the same essay to different teachers. The grade awarded by each teacher for each essay was recorded. Use the data below to answer the questions that follow.
|
Essay |
Quarrie |
Taylor |
Wilson |
Forbes |
|
1 |
62 |
63 |
65 |
68 |
|
2 |
58 |
60 |
61 |
64 |
|
3 |
63 |
68 |
72 |
58 |
|
4 |
64 |
65 |
65 |
61 |
|
5 |
60 |
63 |
66 |
67 |
|
6 |
62 |
66 |
65 |
59 |
|
7 |
57 |
67 |
71 |
60 |
|
8 |
58 |
68 |
65 |
67 |
|
9 |
59 |
69 |
64 |
62 |
|
10 |
63 |
60 |
67 |
66 |
|
11 |
65 |
64 |
62 |
63 |
|
12 |
61 |
61 |
73 |
64 |
|
13 |
60 |
62 |
65 |
68 |
|
14 |
59 |
68 |
68 |
70 |
|
15 |
57 |
66 |
69 |
71 |
|
16 |
56 |
63 |
60 |
68 |
|
17 |
62 |
60 |
61 |
69 |
Question 1
Classify the variables and the measurement scale used.
Question 2
Discuss the sampling method that you think was used for this research.
Question 3
List two limitations of the method selected. Discuss two (2) possible types of errors that may arise in this research.
Question 4
Calculate one (1) appropriate measure of
Question 5
Use the data to generate any three (3) appropriate graphs. *Your answer should include a total of three graphs.
Question 6
Is the mean score for each teacher the best measure of central tendency to confirm whether or not there is inconsistency with the marking of essays among teachers?
Question 7
Compute and explain skewness of the grades for any two (2) teachers using Pearson's 1 st measure of skewness. *This means that you should have only two sets of calculations for this part of the question. *A total of two (curves). * Hand-drawn curves are acceptable.
Question 8
How could knowledge of probabilities be used to analyse the data given in the table?
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Use the data to generate any three (3) appropriate graphs. *You answer should include a total of three graphs.
by Bartleby ExpertManipulate the data given to
calculate any two probabilities?
by Bartleby ExpertManipulate the data given to calculate any two probabilities.
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