The Margaria-Kalamen test is used by physical educators as a measure of leg strength. An individual runs up a staircase, and the elapsed time from the third to the ninth step is recorded. The power score is calculated using a formula involving the individual's weight, the height of the stairs, and the running time. The following tablet shows the power scores required of men for an excellent rating for selected ages. Power score for Age excellent rating 18 224 25 210 35 168 45 125 55 98 (a) What is the average rate of change per year in excellence level from 18 years to 25 years old? points per year (b) What power score would merit an excellent rating for a 20-year-old man? (Round your answer to the nearest whole number.) points (c) During which 10-year period from age 25 to 55 would you expect to see the greatest decrease in leg power? O 25 to 35 35 to 45 O 45 to 55
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.
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