The following refer to the following data set: 79 35 47 31 75 31 60 40 55 86 54 What is the mean (T) of this data set? |(Please show your answer to one decimal place.) mean What is the median of this data set? median = What is the mode of this data set? mode
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.
![**Data Set Analysis**
The following refer to the following data set:
\[ 79, 35, 47, 31, 75, 31, 60, 40, 55, 86, 54 \]
**Mean Calculation**
What is the mean (\(\bar{x}\)) of this data set?
\[ \text{mean} = \_\_\_\_\_\_\_\_\_ \] (Please show your answer to one decimal place.)
**Median Calculation**
What is the median of this data set?
\[ \text{median} = \_\_\_\_\_\_\_\_\_ \]
**Mode Calculation**
What is the mode of this data set?
\[ \text{mode} = \_\_\_\_\_\_\_\_\_ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07eedd0d-121f-4b38-8aa1-4108ea76d137%2F252a1903-6da4-436e-9982-2255f9413721%2F75lhnas_processed.png&w=3840&q=75)
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