The following set of data is from a sample of n=6. 2 10 7 2 8 11 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set. a. Compute the mean, median, and mode. Mean= (Type an integer or decimal rounded to four decimal places as needed.) Compute the median. Median= (Type an integer or a decimal. Do not round.) What is the mode? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. The mode(s) is/are (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) b. Compute the range. Range= (Type an integer or a decimal. Do not round.) Compute the variance. S2= (Round to three decimal places as needed.) Compute the standard deviation. S= (Round to three decimal places as needed.) Compute the coefficient of variation. CV= (Round to three decimal places as needed.) c. Compute the Z scores. (Round to three decimal places as needed.) Are there any outliers? d. What is the shape of the data set?
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 set of data is from a sample of
n=6.
2 10 7 2 8 11
a. Compute the mean,
b. Compute the
c. Compute the Z scores. Are there any outliers?
d. Describe the shape of the data set.
a. Compute the mean, median, and mode.
Mean=
(Type an integer or decimal rounded to four decimal places as needed.)
Compute the median.
Median=
(Type an integer or a decimal. Do not round.)
What is the mode? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The mode(s) is/are
(Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.)
b. Compute the range.
Range=
(Type an integer or a decimal. Do not round.)
Compute the variance.
S2=
(Round to three decimal places as needed.)
Compute the standard deviation.
S=
(Round to three decimal places as needed.)
Compute the coefficient of variation.
CV=
(Round to three decimal places as needed.)
c. Compute the Z scores.
(Round to three decimal places as needed.)
Are there any outliers?
d. What is the shape of the data set?
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