The scores of 80 participants in a dart contest are: 58 70 84 49 48 62 50 82 76 66 72 61 50 82 60 36 47 75 80 70 52 60 72 70 35 61 68 55 32 46 68 70 58 49 55 62 40 54 36 58 48 69 55 67 71 57 48 42 53 55 42 36 60 63 66 68 50 82 46 59 67 55 56 54 39 39 68 72 72 48 72 70 66 78 70 46 68 88 40 56 (a) Find the mean score of the data above. (b) Construct a Stem-and-Leaf chart for the data above. (c) Find the mode of the scores.
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.
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