The following table shows the distribution of height of a group of redwood trees found in USA Table 4 Height (in feet) No of redwood Trees 179-182 5 183-186 7 187-190 15 191-194 10 195-198 6 199-202 7 203-206 6 a. Compute the mean height, median height and standard deviation. b. Compute first quartile, third quartile and interquartile range c. Draw box plot
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.
The following table shows the distribution of height of a group of redwood trees found in USA
Table 4
Height (in feet) No of redwood Trees
179-182 5
183-186 7
187-190 15
191-194 10
195-198 6
199-202 7
203-206 6
a. Compute the mean height,
b. Compute first
c. Draw box plot
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