For the following scores, the smallest value is X = 7 and the largest value is X = 48. a. Determine the best interval width and identify the approximate number of intervals needed for a grouped frequency distribution table. b. Place the scores in a grouped frequency distribution table using the interval width you determined. 26 40 21 17 48 31 37 22 24 13 30 28 29 19 44 34 35 20 7 42 39 31 40 11
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.
For the following scores, the smallest value is X = 7 and the largest value is X = 48.
a. Determine the best interval width and identify the approximate number of intervals needed for a grouped frequency distribution table.
b. Place the scores in a grouped frequency distribution table using the interval width you determined.
26 40 21 17 48 31 37 22
24 13 30 28 29 19 44 34
35 20 7 42 39 31 40 11
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