Melina recorded the number of passengers in each car of the first 100 cars that passed in front of her house on Sunday morning. The outcomes are shown in the table below: Number of Passengers ( 1 2 3 4 5 Number of Cars ( 44 30 15 4 7 Find the mode and median value Find the mean value Find the standard deviation (Give your answer in two decimal places). What is the probability a car to contain:
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.
Melina recorded the number of passengers in each car of the first 100 cars that passed in front of her house on Sunday morning. The outcomes are shown in the table below:
|
Number of Passengers ( |
1 |
2 |
3 |
4 |
5 |
|
Number of Cars ( |
44 |
30 |
15 |
4 |
7 |
- Find the
mode and median value - Find the
mean value - Find the standard deviation (Give your answer in two decimal places).
- What is the probability a car to contain: - exactly 3 passengers? -at least 2 passengers? -at most 4 passengers? -exactly 6 passengers? -What kind of probability is the above problem? Justify your answer.
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