Look at your height, either on your Driver's License or ID card or actually measured. Calculate the z-score of your height, based on the mean and standard deviation of the heights of people of your gender. The average height for Pilipino men is 5 feet, 3.7 inches with a standard deviation of 2.92 inches. Take your z-score from question 2, and calculate the height of a person of the opposite gender, if they had your same z-score (NOT your same height). The average height for Pilipino women is 4 feet, 11 inches with a standard deviation of 2.8 inches
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.
- Look at your height, either on your Driver's License or ID card or actually measured. Calculate the z-score of your height, based on the mean and standard deviation of the heights of people of your gender.
- The average height for Pilipino men is 5 feet, 3.7 inches with a standard deviation of 2.92 inches.
- Take your z-score from question 2, and calculate the height of a person of the opposite gender, if they had your same z-score (NOT your same height).
- The average height for Pilipino women is 4 feet, 11 inches with a standard deviation of 2.8 inches.
Step by step
Solved in 2 steps with 2 images
