Illustrate the Measures of Position:
Quartiles, Deciles, and Percentiles of Ungrouped Data
Direction: Identify the scores that illustrate the following position.
Use linear interpolation. The list shows the scores of 40 in their 15-item test.
Share
Arrange Data: 1, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 14, 15, 15, 15
1. Q1: 5
2. D2: 4
3. Q3: 12
4. P20: 4
5. D5: 9
6. D8: 12
7. P40: 8
8. D9: 14
9. P50: 9
10. P70: 11
What is quantile?
The term quantity is the root of the word "quantile". A quantile is just the division of a sample into equal-sized, neighboring subgroups (thus the word "fractile" frequently used). The median, also known as the 2-quantile, divides a distribution into two equal sections.
In other words, a quantile specifies how many values in a distribution fall above or below a specific threshold. A quantile identifies a specific portion of a data set. The quartile, decile, and percentiles are special quantiles (quarter, tenth, and hundredth, respectively).
Let's use "four quartiles" as an example to describe a distribution's four equal portions. The first quartile contains all values that represent 25 percent or less of the total values. All numbers that are a quarter or less of the total values are included in the first quartile. It represents 25% of a distribution's overall area when shown graphically. 50% of all distribution values fall into the two lowest quartiles.
To learn more about quantiles, just click the link below:
https://brainly.ph/question/30845886
#SPJ1