Featured Strategy: Drawing a Graph. Richard bowled 24 games, and the mean of his scores was 219. His four lowest scores were 130, 134, 138, and 142. If he throws out these four low scores, what is the new mean? Part 1: a. Understanding the Problem. Throwing out four scores that are below the mean of 219 will result in a greater mean. How many games will be used to determine the new mean? Number of games = 20 Part 2 out of 4 b. Devising a Plan. Sometimes drawing a graph of the given information will suggest a plan. A mean of 219 for 24 games can be pictured as 24 games, each with a score of 219. This is shown in the graph below, where the dashed lines represent the four low scores. What amounts would need to be added to the low scores to bring them up to 219?
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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