1. A firm of architects is attempting to get a feel for the sizes of houses in Colton's suburb in the city of Baycoast because it has been commissioned to design a house in Colton. Using their contacts at Baycoast City Real Estate Agents, the architects are provided with information on a sample of 13 houses. Compute the mode, median, and mean for the number of bedrooms. Calculate the mean, median, and the modal number of bathrooms, and the number of all rooms. Interpret the results. House no. Suburb Bedrooms Bathrooms All rooms 110 Colton 1 112 Colton 2 1.5 5 108 Colton 1 117 Colton 2 1.5 6 100 Colton 2 1 89 Colton 2 2 96 Colton 3 1.5 94 Colton 3 1 7 93 Colton 3 1.5 113 Colton 3 1,5 102 Colton 1.5 7 114 Colton 4 2 8 115 Colton
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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