The following refer to the following data set: 34 32 81 60 34 20 | 28 73 84 91 35 What is the mean () of this data set? mean = (Please show your answer to one decimal place.) 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.
![The following refer to the following data set:
\[ 34, \; 32, \; 81, \; 60, \; 34, \; 20, \; 28, \; 73, \; 84, \; 91, \; 35 \]
**What is the mean (\(\bar{x}\)) of this data set?**
mean = `[ ]` (Please show your answer to one decimal place.)
**What is the median of this data set?**
median = `[ ]`
**What is the mode of this data set?**
mode = `[ ]`
**Explanation of the Data Set:**
1. **Mean**: The mean is the average value of the data set. To find it, sum all the numbers in the data set and then divide by the count of numbers.
2. **Median**: The median is the middle value of the data set when it is ordered from smallest to largest. If the count of numbers is even, the median will be the average of the two middle numbers.
3. **Mode**: The mode is the number that appears most frequently in the data set. If no number is repeated, the data set has no mode. If multiple numbers have the same highest frequency, all of them are the mode.
These measures of central tendency – mean, median, and mode – provide different insights about the data set, helping in understanding the distribution and central values.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07eedd0d-121f-4b38-8aa1-4108ea76d137%2F2c391cdd-8f9e-4f0e-84f7-fc80ac6d0fe8%2Fl5d52t9_processed.png&w=3840&q=75)
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