1. The average monthly temperature of a town is given in the table below. Month January February Temperature, "F 42.5 44.5 March April May June 48.5 52.5 58 63 July August September October November December 68.5 69 64.5 55.5 46.5 43.5 (a) Determine a formula for the average monthly temperature, in °F, of the town t months after January assuming it is a sinusoidal formula. Round decimal approximations to the nearest tenth. (b) Use the information that 32°F=0°C, -40°F=-40°C and the relationship between de- grees Fahrenheit and Celsius is linear to determine a formula for the average monthly temperature, in °C, of the town t months after January.
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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