Student ID Math Score Project Score Age (years) Sex 001254 52 75 15 M 003256 78 89 15 F 001547 92 82 18 F 012589 91 66 17 M 021475 72 93 14 M 032658 46 76 13 M 009561 68 76 14 F 008654 52 82 12 F 008561 83 75 16 M 003547 45 78 14 F 047452 73 96 14 M 041212 64 79 13 F 032320 41 67 13 F 000258 77 72 15 F 001478 82 75 17 M 019521 59 83 15 M 017451 80 71 17 F 016335 48 76 13 M 002474 57 80 14 F 095844 97 71 18 F 097304 86 86 17 M 090024 75 85 15 F 034702 81 80 16 F 001910 67 74 14 F 006454 86 77 17 M 087478 63 82 13 M 078474 68 79 14 F 000977 54 89 12 M 063010 91 73 18 M 007406 46 77 15 F 025740 93 85 17 M 055401 60 70 15 M One student scored the same score (86) on both the math contest and the project. Relative to the contest, which score of 86 is better?
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.
|
Student ID |
Math Score |
Project Score |
Age (years) |
Sex |
|
001254 |
52 |
75 |
15 |
M |
|
003256 |
78 |
89 |
15 |
F |
|
001547 |
92 |
82 |
18 |
F |
|
012589 |
91 |
66 |
17 |
M |
|
021475 |
72 |
93 |
14 |
M |
|
032658 |
46 |
76 |
13 |
M |
|
009561 |
68 |
76 |
14 |
F |
|
008654 |
52 |
82 |
12 |
F |
|
008561 |
83 |
75 |
16 |
M |
|
003547 |
45 |
78 |
14 |
F |
|
047452 |
73 |
96 |
14 |
M |
|
041212 |
64 |
79 |
13 |
F |
|
032320 |
41 |
67 |
13 |
F |
|
000258 |
77 |
72 |
15 |
F |
|
001478 |
82 |
75 |
17 |
M |
|
019521 |
59 |
83 |
15 |
M |
|
017451 |
80 |
71 |
17 |
F |
|
016335 |
48 |
76 |
13 |
M |
|
002474 |
57 |
80 |
14 |
F |
|
095844 |
97 |
71 |
18 |
F |
|
097304 |
86 |
86 |
17 |
M |
|
090024 |
75 |
85 |
15 |
F |
|
034702 |
81 |
80 |
16 |
F |
|
001910 |
67 |
74 |
14 |
F |
|
006454 |
86 |
77 |
17 |
M |
|
087478 |
63 |
82 |
13 |
M |
|
078474 |
68 |
79 |
14 |
F |
|
000977 |
54 |
89 |
12 |
M |
|
063010 |
91 |
73 |
18 |
M |
|
007406 |
46 |
77 |
15 |
F |
|
025740 |
93 |
85 |
17 |
M |
|
055401 |
60 |
70 |
15 |
M |
One student scored the same score (86) on both the math contest and the project. Relative to the contest, which score of 86 is better?
Given that, One student scored the same score (86) on both the math contest and the project. Relative to the contest, which score of 86 is better.
Calculate mean of Math scores:
Formula:
Standard deviation is calculated using the formula:
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