Problem Set: Chapter 03 Central Tendency 3. Calculating the mean when adding or subtracting a constant A professor gives a statistics exam. The exam has 100 possible points. The scores for the students in the second classroom are as follows: 76 88 76 44 84 76 48 88 72 Calculate the sample size, n, and the sample mean, M. n M. While grading the exam, the professor realizes that one of the questions covered material that was not yet covered in the lectures. This question was worth 16 points, so he decides to add 16 points to everyone's score. Calculate the new n and M. M.
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.
As the scores of the second classroom are provided for 9 students, hence the sample size .
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