The following data represents the age of 30 lottery winners. Given the frequency distribution for the data, Cumulative Relative Age Frequency Relative Frequency Frequency [20,29] [30,39] [40,49] [50,59] [60,69] [70,79] [80,89] 1 0.0333 0.0333 7 0.2333 0.2666 0.1667 0.4333 2 0.0667 0.5 7 0.2333 0.7333 7 0.2333 0.9666 1 0.0333 0.9999 What is the frequency of lottery winners of age between 19 and 40? What percentage of lottery winners are 70 years or older? What is the relative frequency of ages under 40? What is the cumulative relative frequency of lottery winners younger than 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.
![The following data represents the age of 30 lottery
winners.
Given the frequency distribution for the data,
Cumulative
Relative
Age
Frequency
Relative
Frequency
Frequency
[20,29]
[30,39]
[40,49]
[50,59]
[60,69]
[70,79]
[80,89]
1
0.0333
0.0333
7
0.2333
0.2666
0.1667
0.4333
0.0667
0.5
7
0.2333
0.7333
7
0.2333
0.9666
1
0.0333
0.9999
What is the frequency of lottery winners of age between 19
and 40?
What percentage of lottery winners
70 years or older?
What is the relative frequency of ages under 40?
What is the cumulative relative frequency of lottery
winners younger than 50?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa26c302e-18a7-47ab-951c-7f9009673981%2Fe0c74b5f-9d28-4360-8fca-02119547ddf1%2F74xzffr_processed.jpeg&w=3840&q=75)
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