5.In complete sentences, describe the shape of the histogram. 6. Are there any potential outliers? List the value(s) that could be outliers. Use a formula to check the end values to determine if they are potential outliers. Analyze the Data 1. Determine the following values. a. Min = _____ b. M = _____ c. Max = _____ d. Q1 = _____ e. Q3 =_____ f. IQR = _____ 2.Construct a box plot of data 3.What does the shape of the box plot imply about the concentration of data? Use complete sentences. 4.Using the box plot, how can you determine if there are potential outliers? 5.How does the standard deviation help you to determine concentration of the data and whether or not there are potential outliers? 6. What does the IQR represent in this problem? 7. Show your work to find the value that is 1.5 standard deviations: a. above the mean. b. below the mean.
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.
5.In complete sentences, describe the shape of the histogram.
6. Are there any potential outliers? List the value(s) that could be outliers. Use a formula to check the end values to determine if they are potential outliers.
Analyze the Data
1. Determine the following values.
a. Min = _____
b. M = _____
c. Max = _____
d. Q1 = _____
e. Q3 =_____
f. IQR = _____
2.Construct a box plot of data
3.What does the shape of the box plot imply about the concentration of data? Use complete sentences.
4.Using the box plot, how can you determine if there are potential outliers?
5.How does the standard deviation help you to determine concentration of the data and whether or not there are potential outliers?
6. What does the IQR represent in this problem?
7. Show your work to find the value that is 1.5 standard deviations:
a. above the mean.
b. below the mean.
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