A census taker visits a house and asks the woman at the door how many children she has and their ages. She answers, “3 children. The product of their ages equals 72, and the sum of all the ages is the same number as my house number.” The census taker looks at the house number and says, “This is not enough information.” The woman states, “My oldest child is a Chicago Cubs fan.” The census taker thanks the woman and leaves because he now knows the answer. What are the ages of her 3 children?
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.
A census taker visits a house and asks the woman at the door how
many children she has and their ages. She answers, “3 children. The product of their ages equals 72, and the sum of all the ages is the same number as my house number.” The census taker looks at the house number and says, “This is not enough information.” The woman states, “My oldest child is a Chicago Cubs fan.” The census taker thanks the woman and leaves because he now knows the answer. What are the ages of her 3 children?
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