A city surveyed 3000 people about how they travel to work. 1978 took public transit (P) 1494 drove (D) 818 cycled (C) 731 took public transit and drove only (no cycling) 298 took public transit and cycled only (no driving) 27 drove and cycled only (no public transit) 164 used all three modes of transportation a) How many people use exactly two modes of transportation? b) How many people use public transit only? c) How many people did neither cycling nor public transiting? d) How many people cycle but do not drive?
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.
A city surveyed 3000 people about how they travel to work.
- 1978 took public transit (P)
- 1494 drove (D)
- 818 cycled (C)
- 731 took public transit and drove only (no cycling)
- 298 took public transit and cycled only (no driving)
- 27 drove and cycled only (no public transit)
- 164 used all three modes of transportation
a) How many people use exactly two modes of transportation?
b) How many people use public transit only?
c) How many people did neither cycling nor public transiting?
d) How many people cycle but do not drive?
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