We collected 50 pennies and recorded their ages, by calculatingAGE = CURRENT YEAR = YEAR ON PENNY.5 1 9 1 2 20 0 25 0 171 4 4 3 0 25 3 3 8 285 21 19 9 0 5 0 2 1 00 1 19 0 2 0 20 16 22 1019 36 23 0 1 17 6 0 5 0a. Before drawing any graphs, try to visualize what the distribution of penny ages will look like. Will it be mound-shaped, symmetric, skewed right, or skewed left?b. Draw a relative frequency histogram to describe the distribution of penny ages. How would you describe the shape of the distribution?
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.
We collected 50 pennies and recorded their ages, by calculating
AGE = CURRENT YEAR = YEAR ON PENNY.
5 1 9 1 2 20 0 25 0 17
1 4 4 3 0 25 3 3 8 28
5 21 19 9 0 5 0 2 1 0
0 1 19 0 2 0 20 16 22 10
19 36 23 0 1 17 6 0 5 0
a. Before drawing any graphs, try to visualize what the distribution of penny ages will look like. Will it be mound-shaped, symmetric, skewed right, or skewed left?
b. Draw a relative frequency histogram to describe the distribution of penny ages. How would you describe the shape of the distribution?
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