Question 2 Bridget surveyed the price of petrol at petrol stations in Cape Town and Durban. The data, in rands per liter are given below. Cape Town 3,96 3,76 4,00 3,91 3,69 3,72 3,97 3,81 3,52 4,08 3,88 3,68 i. Find the mean price in each city and then state which city Durban has the lower mean. ii. Find the standard deviation of each city's prices. iii. Which city has the more consistently priced petrol? Give reasons for your answer.
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.
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