Instructions: Identify whether each phrase describes mean, median, ar mode. Write your answers in the first column. Your Answer Phrases 1. requires only nominal data 2. the most popular score in a distribution 3. influenced by the specific value of every observation |4. arithmetic average of a set of values 5. the point above and below where half of the distribution of the data falls For each of the following data sets, detemine the mean. Write your answers in the first column. Mean Data Sets 72, 14, 8, 11, 57, 54, 31, 11, 67, 11, 19, 3, 66 63, 9, 87, 16, 2, 96, 13, 67, 34 2,7, 17, 33, 67, 73, 88, 33, 92, 57, 33 For each of the following data sets, determine the median. Write your answers in the first column. Median Data Sets 48, 78, 10, 66, 45, 57, 96, 67, 40, 66, 63, 8, 20 28, 3, 10, 60, 8, 23, 45, 97, 110 8,4, 64, 99, 11, 42, 15, 88, 54, 77, 42 For each of the following data sets, determine the mode. Write your answers in the first column. Mode Data Sets 98, 37, 5, 33, 96, 67, 43, 33, 91, 33, 32, 8, 11 104, 2, 51, 31, 8, 101, 104, 18, 47 19, 1, 9, 6, 4, 2, 13, 15, 24, 2 8,9, 39, 44, 55, 90, 19, 44, 28, 69, 44
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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