A researcher from the ministry of education wants to find out if there is an academic difference in students from different parishes in Jamaica based on the CSEC examinations.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A researcher from the ministry of education wants to find out if there is an academic difference in students from different parishes in Jamaica based on the CSEC examinations. He selected 20 students who completed the exam from three parishes; St James, St Ann, Kingston. He will assess them based on their English and Mathematics scores. Use the provided data to do the following questions.
See the tablw below t answer Questions
|
ID |
Parish |
English |
Mathematics |
|
1 |
StJames |
90 |
92 |
|
2 |
StJames |
83 |
83 |
|
3 |
StJames |
80 |
70 |
|
4 |
StJames |
82 |
65 |
|
5 |
StJames |
90 |
92 |
|
6 |
StJames |
95 |
94 |
|
7 |
StJames |
98 |
66 |
|
8 |
StJames |
96 |
77 |
|
9 |
StJames |
81 |
78 |
|
10 |
StJames |
84 |
80 |
|
11 |
StJames |
63 |
70 |
|
12 |
StJames |
71 |
66 |
|
13 |
StJames |
72 |
68 |
|
14 |
StJames |
66 |
69 |
|
15 |
StJames |
75 |
75 |
|
16 |
Kingston |
79 |
74 |
|
17 |
kingston |
67 |
63 |
|
18 |
kingston |
65 |
62 |
|
19 |
kingston |
65 |
77 |
|
20 |
kingston |
60 |
67 |
|
21 |
kingston |
64 |
75 |
|
22 |
kingston |
68 |
82 |
|
23 |
kingston |
69 |
66 |
|
24 |
kingston |
77 |
77 |
|
25 |
kingston |
56 |
60 |
|
26 |
kingston |
59 |
78 |
|
27 |
kingston |
57 |
55 |
|
28 |
kingston |
60 |
68 |
|
29 |
kingston |
52 |
67 |
|
30 |
kingston |
50 |
53 |
|
31 |
StAnn |
55 |
57 |
|
32 |
StAnn |
56 |
70 |
|
33 |
StAnn |
57 |
60 |
|
34 |
StAnn |
67 |
72 |
|
35 |
StAnn |
59 |
60 |
|
36 |
StAnn |
58 |
57 |
|
37 |
StAnn |
53 |
65 |
|
38 |
StAnn |
54 |
54 |
|
39 |
StAnn |
60 |
62 |
|
40 |
StAnn |
51 |
52 |
|
41 |
StAnn |
56 |
57 |
|
42 |
StAnn |
57 |
30 |
|
43 |
StAnn |
58 |
59 |
|
44 |
StAnn |
52 |
54 |
|
45 |
StAnn |
57 |
58 |
A.Compute and explain skewness for the grades using Pearson's 1 st measure of skewness.
B. Manipulate the data given to calculate any two probabilities.
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