The final exam scores for Mr. Allen’s class are shown below. 56, 59, 60, 65, 71, 72, 74, 80, 80, 83, 88, 90, 92, 94, 95, 96, 96, 97 He decides to double the weight of the test by multiplying each student’s score by 2. Which statement is true? 1.The transformed scores will have a mean that is 2 times the mean of the original data set. 2.The transformed scores will have an interquartile range that is 2 more than the interquartile range of the original data set. 3.The transformed scores will have a mean that is 2 more than the mean of the original data set. 4.The transformed scores will have a median that is equal to the median of the original data set.
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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