Problem: The following data shows the scores of each team in a competition for a sportive game. 22 33 41 43 51 57 63 34 41 26 37 41 44 54 30 38 42 46 55 60 71 31 40 42 48 56 62 72 58 65 59 68 25 44 52 a) Determine the number, n, in the sample. b) Define k class intervals (co, C1] , (C1, C2] , ..., (Ck-1, Ck] . c) Determine the frequency, fi, of each class i.
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.
![Problem: The following data shows the scores of each team in a competition for a sportive game.
22
33
41
43
51 57 63
25
34
41
44
52 58
65
26
37
41
44 54
59
68
30
38
42
46
55
60
71
31
40
42
48
56
62
72
a) Determine the number, n, in the sample.
b) Define k class intervals (co, C1] , (C1, C2] , ..., (Ck-1, Ck] .
c) Determine the frequency, fi, of each class i.
d) Calculate the relative frequency (proportion) of each class.
e) Draw frequency histogram. (For a frequency histogram: draw a rectangle for each class with
the class interval as the base and the height equal to the frequency of the class.)
f) Draw relative frequency histogram. (For a relative frequency histogram, draw a rectangle for
each class with the class interval as the base and the height equal to the relative frequency of
the class.
g) Draw density histogram. (For a density histogram, draw a rectangle for each class with the
class interval as the base and the height equal to h(x) =
fi
n(C;-Ci-1)'](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ef341d6-932d-4124-9c3b-01769155f34e%2Fdfaaa0b9-4a1f-4b51-9301-6a5a854ea4cd%2Fczecmv_processed.png&w=3840&q=75)
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