For a set of 800 urine protein measurements, the mean was found to be 63.1 mg/day with a standard deviation of 7.5 mg/day. Assuming that the distribution is approximately bell-shaped, determine: a. The percentage of the 800 measurements that will fall within ± 1 standard deviation from the mean. b. The number of measurements that will be below 78.1 mg/day. c. The number of measurements that will be below 48.1 mg/day.
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.
Step by step
Solved in 4 steps with 4 images
