Female Data Exercise days per week Favorite Exercise Swimming Jogging Walking Jogging Aerobics Females Balance Time 1 30 38 3 32 4 23 35 6. . 28 Jogging Jogging Swimming 7 32 35 The mean and standard deviation for the time in seconds for females who participated: Mean = 30+ 38+ 32+ 23+ 35+ 28+ 32+ 35- 253 Mean = 253/ 8 = 31.6 4425n2342
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.
Given:
n=8
mean=31.6
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