You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data: Mass(g) of ears of corn 660.4499.6741.8656.1457.6612.1791.8526.9451.7609.2652.4446.4435.3 Checksum: 7541.3 Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers.Find the following: a) IQR b) sample standard deviation c) Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs. Lower: Upper: Are there any outliers by the 1.5 IQR rule? (Enter "yes" or "no") d) Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs. Lower: Upper: Are there any outliers by the 2-standard deviation rule? (Enter "yes" or "no")
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.
You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data:
Mass(g) of ears of corn
660.4
499.6
741.8
656.1
457.6
612.1
791.8
526.9
451.7
609.2
652.4
446.4
435.3
Checksum: 7541.3
Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers.
Find the following:
a) IQR
b) sample standard deviation
c) Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs.
Lower: Upper:
Are there any outliers by the 1.5 IQR rule? (Enter "yes" or "no")
d) Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs.
Lower: Upper:
Are there any outliers by the 2-standard deviation rule? (Enter "yes" or "no")
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