The document discusses the calculation of percentiles for ungrouped data, specifically using the Mendenhall and Sincich method along with interpolation. It defines percentiles as values that split data into 100 equal fragments and explains the significance of arranging data in ascending order for accurate calculation. An example provided involves determining specific percentiles from a set of final grades.

1. PERCENTILES
OF UNGROUPED DATA

2. Solving Percentile of Ungrouped
Data using Mendenhall and
Sincich Method
and Interpolation Method

3. Percentile refers to the 99 values
that split the population data into 100
equal fragments such that each
fragment is representative of 1/100th
of the population.

4. Percentile rank
is a quantitative process of dividing
a set of data into 100 equal parts.
For this purpose, it is necessary to
arrange the data systematically in
ascending order.

5. Mendenhall and Sincich Method
ROUNDUP ROUNDDOWN

6. Example 1
Final Grades of Dylan for the First
Semester A.Y. 2020-2021. Determine
the 20th, 45th and 70th percentile.
84, 92, 91, 86, 98, 89, 94, 93,
90,86,95