A criminologist is comparing car thefts in two cities. She finds the data for the number of cars stolen each day over a 6 month period and computes the mean, median, and mode for the two cities. 1. In the first city, the mean number of cars stolen each day is 30, the median is 15, and the mode is 10. 2. In the second city, the mean number of cars stolen each day is also 30, but the median is 25, and the mode is 15. In which city would you feel safer about parking your car on the street? Why?
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.
Directions: Answer each of the questions below and show work. Write down the computations you do.
A criminologist is comparing car thefts in two cities. She finds the data for the number of cars stolen each day over a 6 month period and computes the mean, median, and mode for the two cities.
1. In the first city, the mean number of cars stolen each day is 30, the median is 15, and the mode is 10.
2. In the second city, the mean number of cars stolen each day is also 30, but the median is 25, and the mode is 15.
In which city would you feel safer about parking your car on the street? Why?
Step by step
Solved in 2 steps with 2 images
