The numbers represent the scores (in points) for a sample of 10 basketball games: 45 70 59 42 65 39 65 49 53 43 1.Construct a box plot for this distribution and clearly label the quartile boundaries. 2.Calculate the “z-score” (to two decimal places) for the game in which 70 points were scored. 3.Would it be unusual for a game to have 35 points scored? Justify your answer in terms of the z-score.
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.
The numbers represent the scores (in points) for a sample of 10 basketball games:
45 70 59 42 65
39 65 49 53 43
1.Construct a box plot for this distribution and clearly label the
2.Calculate the “z-score” (to two decimal places) for the game in which 70 points were scored.
3.Would it be unusual for a game to have 35 points scored? Justify your answer in terms of the z-score.
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