The following data values represent the number of homeruns a baseball player hit each year during his 25-year baseball career. Complete parts a through d below. 27 45 43 14 10 49 15 23 21 44 44 21 28 12 49 13 23 29 16 31 42 41 35 41 16 a. Calculate the mean of these data values. b. Group this data into four classes with class boundaries of 10-under 20, 20-under 30, 30-under 40, and 40-under 50.
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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27
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45
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43
|
14
|
10
|
49
|
15
|
23
|
21
|
44
|
44
|
21
|
|
|
28
|
12
|
49
|
13
|
23
|
29
|
16
|
31
|
42
|
41
|
35
|
41
|
16
|
c. Calculate the approximate mean of these grouped data values
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