The ten fastest times in a city marathon are below. Find the mean, median, and mode of this set. (Hint: first convert all times to minutes, e.g. 2 hr 55 min = 175 min) 2 hr 46 min ; 3 hr 7 min ; 3 hr 32 min ; 3 hr 33 min ; 3 hr 46 min ; 3 hr 54 min ; 4 hr 17 min ; 4 hr 35 min ; 4 hr 44 min ; 4 hr 56 min
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.
The ten fastest times in a city marathon are below. Find the
2 hr 46 min ; 3 hr 7 min ; 3 hr 32 min ; 3 hr 33 min ; 3 hr 46 min ; 3 hr 54 min ; 4 hr 17 min ;
4 hr 35 min ; 4 hr 44 min ; 4 hr 56 min
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
