explain what is Percentile in UNGROUPED DATA
In ungrouped data, percentile is a measure that indicates the value below which a certain percentage of data falls. It is the number that divides a given dataset into 100 equal parts. For example, if a value X has a 90th percentile, it means that 90% of the data lies below that value X, and only 10% lies above that value.
To calculate the percentile in ungrouped data, we first need to sort the data in ascending or descending order. Then we find the rank of the particular data point we are interested in. The rank is calculated as follows:
Rank = ((Number of data points below the given point) / Total number of data points) x 100
Once we have the rank, we can use it to determine the percentile by multiplying it by 100. For example, if a data point has a rank of 0.75, then:
Percentile = Rank x 100
Percentile = 0.75 x 100
Percentile = 75th percentile
explain what is Percentile in UNGROUPED DATA tagalog explanation
Sa hindi naka-group na data, ang percentile ay isang sukatan na nagpapakita ng halaga sa ilalim ng kung saan bumabagsak ang isang tiyak na porsyento ng data. Ito ay ang numero na naghihiwa ng isang dataset sa 100 pantay-pantay na bahagi. Halimbawa, kung ang isang halaga X ay mayroong ika-90 na percentile, ibig sabihin nito na 90% ng data ay mas mababa sa halagang X, at tanging 10% lamang ang mas mataas.
Upang malaman ang percentile sa hindi naka-group na data, kinakailangan munang isapalaran ang data sa pag-akyat o pagbaba ngayon. Pagkatapos ay hinahanap natin ang ranggo ng partikular na data point na nais natin. Ang ranggo ay kinukuha sa ganitong paraan:
Ranggo = ((Bilang ng mga data points sa ibaba ng binigay na punto) / Kabuuang bilang ng mga data points) x 100
Kapag mayroon na tayong ranggo, maaari na nating gamitin ito upang malaman ang percentile sa pamamagitan ng pagmultiplica nito ng 100. Halimbawa, kung ang isang data point ay may ranggo na 0.75, ayon sa kahulugang ito:
Percentile = Ranggo x 100
Percentile = 0.75 x 100
Percentile = Ika-75 na percentile
what is Rules imposed by authority figures are conformed to in order to avoid punishment or benefit rewards
The behavior you have described is known as "compliance." Compliance is when an individual follows a rule or regulation set by an authority figure in order to avoid punishment or receive rewards. It is behavior that is motivated by external forces, rather than by personal conviction or a sense of right or wrong.
Compliance can be seen in various areas of life, from obeying traffic laws to following company policies. Individuals may comply with rules for various reasons, such as a fear of getting into trouble or a desire to receive a reward or recognition. However, compliance does not necessarily indicate a true belief in the rule being followed or a moral commitment to it. It is simply a response to the consequences of not following the rule.
In ungrouped data, Percentile refers to the value below which a certain percentage of the data falls. It is a statistical measure used to understand the relative position of a particular value within the entire dataset. Percentiles are used to analyze a distribution and determine how values are spread out.
To calculate the percentile in ungrouped data, you need to follow these steps:
1. Sort the data: Arrange the individual data values in ascending order from the lowest to the highest.
2. Determine the position: Identify the position of the desired percentile within the sorted data. This can be done by using the equation:
P = (n * i) / 100
Where P is the position of the percentile, n is the total number of data values, and i is the desired percentile.
3. Identify the value: Once you have the position, find the corresponding value in that position. If the position is an integer, the value will be the data value at that position. If the position is a fraction, take the average of the data values at the two nearest positions.
For example, let's suppose you have the following set of ungrouped data: 10, 5, 8, 15, 12, 7, 20, 9, 11, 14. Now, let's find the value at the 75th percentile.
1. Sort the data: Sorting the data in ascending order gives us: 5, 7, 8, 9, 10, 11, 12, 14, 15, 20.
2. Determine the position: For the 75th percentile, using the formula (n * i) / 100, we have P = (10 * 75) / 100 = 7.5
3. Identify the value: Since the position is a fraction, we take the average of the values at positions 7 and 8, which are 12 and 14, respectively. Thus, the value at the 75th percentile is (12 + 14) / 2 = 13.
Therefore, in this particular dataset, the value at the 75th percentile is 13.