Question

Identify the process of dividing a dataset into 100 equal parts.

Hint:

\textbf{Remember:} 4 parts → Quartiles 10 parts → Deciles 100 parts → Percentiles

Answer 1

Process of Dividing a Dataset into 100 Equal Parts:

The process of dividing a dataset into 100 equal parts is called Percentile Calculation or finding Percentiles. Percentiles are used in statistics and data analysis to understand the relative standing of a data point within a dataset.

Key Points about Percentiles:
1️⃣ The dataset is first arranged in ascending order.
2️⃣ Each percentile represents a value below which a certain percentage of data falls.
• For example, the 25th percentile (P25) is the value below which 25% of the data lies.
• The 50th percentile (P50) is also known as the median.
3️⃣ Dividing the dataset into 100 equal parts gives the percentile rank of each data point.
4️⃣ Percentiles are useful for analyzing distributions, detecting outliers, and standardizing data.

Formula to Calculate the k-th Percentile:

Position = (k/100) * (N + 1)

Where:
• k = desired percentile (1–100)
• N = total number of observations in the dataset

Example:
Suppose we have 20 data points arranged in ascending order and want the 25th percentile:
Position = (25/100) × (20 + 1) = 5.25 → The 25th percentile lies 25% of the way between the 5th and 6th data points.

Conclusion:
Dividing a dataset into 100 equal parts is achieved by calculating percentiles. This method helps in understanding the relative distribution and ranking of data points efficiently.