uestion A group of 80 students took a statistics Exam in the following scores were recorded 68 84 75 82 68 90 62 88 76 93 73 79 88 73 58 93 71 59 58 51 61 65 75 87 74 62 95 78 63 72 66 96 79 65 74 77 95 85 78 86 71 78 78 62 80 67 69 83 76 62 71 75 82 89 67 58 73 74 73 65 81 76 72 75 92 97 57 63 68 83 81 82 53 85 94 52 78 88 77 71 calculate variance and standard de
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 group of 80 students took a statistics Exam in the following scores were recorded 68 84 75 82 68 90 62 88 76 93 73 79 88 73 58 93 71 59 58 51 61 65 75 87 74 62 95 78 63 72 66 96 79 65 74 77 95 85 78 86 71 78 78 62 80 67 69 83 76 62 71 75 82 89 67 58 73 74 73 65 81 76 72 75 92 97 57 63 68 83 81 82 53 85 94 52 78 88 77 71
calculate variance and standard deviation from a grouped distribution with the lowest score interval limits of 50-54 compute to two decimal places
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