Tree Heights: In a study of the relationship between heights and trunk diameters of trees, botany students collected sample data. Listed below are the tree circumferences (in feet). 1.8 1.9 1.8 2.4 5.1 5.1 8.3 13.7 5.5 4.9 3.1 5.3 3.7 3.8 4.0 3.4 5.2 4.1 3.7 3.9 Find the (a) Mean (b) median (c) Standard Deviation (d)Variance (e) Range (f) Q1, Q2 & Q3 A. Using the results from this Exercise, convert the circumference of 13.7 ft to a z score. B. In the context of these sample data, is the circumference of 13.7 ft "unusual"? Why or why not? C. Using the range rule of thumb, identify any other listed circumferences that are unusual.
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.
Tree Heights: In a study of the relationship between heights and trunk diameters of trees, botany students collected sample data. Listed below are the tree circumferences (in feet).
1.8 1.9 1.8 2.4 5.1 5.1 8.3 13.7 5.5 4.9 3.1 5.3 3.7 3.8 4.0 3.4 5.2 4.1 3.7 3.9
Find the (a)
A. Using the results from this Exercise, convert the circumference of 13.7 ft to a z score.
B. In the context of these sample data, is the circumference of 13.7 ft "unusual"? Why or why not?
C. Using the range rule of thumb, identify any other listed circumferences that are unusual.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
