The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied year round Approximate the mean and standard deviation square footage. Click the icon to view the data table. Housing Data The mean square footage is x=D. (Round to the nearest integer as needed.) The standard deviation square footage is s = (Round to one decimal place as needed.) Square footage Frequency 0- 499 9 500 - 999 13 1,000 - 1,499 1,500 - 1,999 36 121 2,000 - 2,499 119 2,500 - 2,999 81 3,000 - 3,499 47 3,500 - 3,999 41 4,000 - 4,499 26 4,500 - 4,999 7
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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