The table below shows the frequency distribution of the weights (in grams) of pre-1964 quarters. Weight (g) Frequency 6.000 dash 6.0496.000-6.049 33 6.050 dash 6.0996.050-6.099 33 6.100 dash 6.1496.100-6.149 88 6.150 dash 6.1996.150-6.199 1212 6.200 dash 6.2496.200-6.249 1212 6.250 dash 6.2996.250-6.299 66 6.300 dash 6.3496.300-6.349 44 6.350 dash 6.3996.350-6.399 11 Use the frequency distribution to construct a histogram. Does the histogram appear to depict data that have a normal distribution? Why or why not?
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.
|
Weight (g)
|
Frequency
|
|
|---|---|---|
|
6.000 dash 6.0496.000-6.049
|
33
|
|
|
6.050 dash 6.0996.050-6.099
|
33
|
|
|
6.100 dash 6.1496.100-6.149
|
88
|
|
|
6.150 dash 6.1996.150-6.199
|
1212
|
|
|
6.200 dash 6.2496.200-6.249
|
1212
|
|
|
6.250 dash 6.2996.250-6.299
|
66
|
|
|
6.300 dash 6.3496.300-6.349
|
44
|
|
|
6.350 dash 6.3996.350-6.399
|
11
|
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