This question aims to measure the mental and applied skills (c1, b1 (for the student)) of 15 points The following data shows the distribution of the scores of (30) students in the principles of statistics. Answer the following questions 56 84 70 85 94 78 69 54 82 57 62 80 58 76 68 77 84 54 90 86 88 89 65 92 82 90 75 95 88 63 Required: 1 - The frequency table that includes the data mentioned in the previous table where the number of categories = 7 and the length of the category = 6 Category Category Center (x) Repetition (f) Cumulative redundancy Relative frequency F * x (? − ?̅)2 ? (? − ?̅)2 Calculate the median and mode. 3 Calculate the variance, standard deviation and coefficient of variation values.
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.
Question 2: This question aims to measure the mental and applied skills (c1, b1 (for the student)) of 15 points
The following data shows the distribution of the scores of (30) students in the principles of statistics. Answer the following questions
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56 |
84 |
70 |
85 |
94 |
78 |
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69 |
54 |
82 |
57 |
62 |
80 |
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58 |
76 |
68 |
77 |
84 |
54 |
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90 |
86 |
88 |
89 |
65 |
92 |
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82 |
90 |
75 |
95 |
88 |
63 |
Required:
1 - The frequency table that includes the data mentioned in the previous table where the number of categories = 7 and the length of the category = 6
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Category |
Category Center (x) |
Repetition (f) |
Cumulative redundancy |
Relative frequency |
F * x |
(? − ?̅)2 |
? (? − ?̅)2 |
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- Calculate the median and
mode . 3
- Calculate the variance, standard deviation and coefficient of variation values.
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