Show the five-number summary for the following data: 6, 15, 18, 9, 7, 12, 17, 11, 7. minimumfirst quartilemedianthird quartilemaximum Show the boxplot for the data. The box-and-whisker plot has a horizontal axis numbered from 3 to 18. The box-and-whisker is also horizontal. The left whisker is approximately 3, the left edge of the box is approximately 4, the line inside the box is approximately 11, the right edge of the box is approximately 16, and the right whisker is approximately 18. The box-and-whisker plot has a horizontal axis numbered from 6 to 23. The box-and-whisker is also horizontal. The left whisker is approximately 6, the left edge of the box is approximately 7, the line inside the box is approximately 16, the right edge of the box is approximately 21, and the right whisker is approximately 23. The box-and-whisker plot has a horizontal axis numbered from 6 to 18. The box-and-whisker is also horizontal. The left whisker is approximately 6, the left edge of the box is approximately 7, the line inside the box is approximately 11, the right edge of the box is approximately 16, and the right whisker is approximately 18. The box-and-whisker plot has a horizontal axis numbered from 6 to 23. The box-and-whisker is also horizontal. The left whisker is approximately 6, the left edge of the box is approximately 7, the line inside the box is approximately 11, the right edge of the box is approximately 21, and the right whisker is approximately 23.
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 given data set:
6 |
15 |
18 |
9 |
7 |
12 |
17 |
11 |
7 |
Thus, the sample size (n) is 9.
Arranging the data into, ascending order,
6 |
7 |
7 |
9 |
11 |
12 |
15 |
17 |
18 |
Thus, the maximum value is 18 while the minimum value is 6.
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