Here is a set of sample data. 72 89 51 85 12| 95 47 26 41 60 17 22 33 43 53 73 69 | 66 45 25 59 55 Base on the data above, identify the 5 number summary
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.
![### Sample Data and Five-Number Summary Calculation
#### Sample Data Set:
\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
72 & 89 & 51 & 47 & 26 & 41 & 60 & 17 & 22 & 33 \\
\hline
85 & 12 & 95 & 43 & 53 & 73 & 69 & 66 & 45 & 25 \\
\hline
59 & 55 & & & & & & & & \\
\hline
\end{array}
\]
#### Instructions:
Based on the given data, you are tasked with identifying the five-number summary. The five-number summary includes:
1. **Minimum**: The smallest number in the data set.
2. **Q1 (First Quartile)**: The median of the first half of the data.
3. **Median (Q2)**: The middle value of the data set when it is ordered.
4. **Q3 (Third Quartile)**: The median of the second half of the data.
5. **Maximum**: The largest number in the data set.
#### Input Boxes:
Below the data table, four empty input boxes are provided for you to enter the values of the five-number summary.
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This page illustrates how to structure and compute the five-number summary from a sample data set. Pay close attention to the techniques of finding the quartiles and organizing the data properly. This is a fundamental skill in understanding dataset distributions and summarizing data effectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07eedd0d-121f-4b38-8aa1-4108ea76d137%2F64e7acfd-feb2-4c40-82cb-ca0e6db8ab6b%2Fi6yhgts_processed.png&w=3840&q=75)
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