in addition show the formula and working out of how you arrived with the Standard deviation As well as the Formula for the Mean   show all working out

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer number 4

 

in addition show the formula and working out of how you arrived with the Standard deviation As well as the Formula for the Mean

 

show all working out 

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
58
60
61
64
3
63
68
72
58
4
64
65
65
61
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
* The above data is also available in excel format on the course page.
Transcribed Image Text: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 58 60 61 64 3 63 68 72 58 4 64 65 65 61 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 * The above data is also available in excel format on the course page.
Calculate one (1) appropriate
measure of central tendency
using the data for each teacher
and explain your choice.
4
*There are a total of four
teachers, so there should be a
total of four measure of central
tendencies.
Use the data to generate any
three (3) appropriate graphs.
*You answer should include a
total of three graphs.
5
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?
Compute and explain skewness
of the grades for any two (2)
teachers using Pearson's 1st
7
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
Transcribed Image Text:Calculate one (1) appropriate measure of central tendency using the data for each teacher and explain your choice. 4 *There are a total of four teachers, so there should be a total of four measure of central tendencies. Use the data to generate any three (3) appropriate graphs. *You answer should include a total of three graphs. 5 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? Compute and explain skewness of the grades for any two (2) teachers using Pearson's 1st 7 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
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