The document provides detailed instructions on calculating percentiles of ungrouped data using the Mendenhall and Sincich method, as well as linear interpolation. It explains what percentiles are and outlines a step-by-step process for finding specific percentiles using provided student scores. Additionally, it includes examples and exercises for practice.

1. BY: GABRIEL HOLGADO
LESSON OBJECTIVE:
Calculate specified measure of position of the
data.
a. Percentiles of Ungrouped Data (Using the
Mendenhall and Sincich Method and Linear
Interpolation Method).

2. WHAT IS
PERCENTILE?
Percentiles are those
values that devide the
total frequency into 100
equal parts.

3. FORMULA FOR UNGROUPED DATA
K - is a number from 1 - 99
n - is the number of scores or values

4. Linear Interpolation Method
1. Get the difference between the two values
where Pk is located.
2. Multiply the difference obtained in Step 1
by the decimal part of Pk.
3. Add the result in Step 2, to the 2nd or
smaller number.
Here are the steps of linear interpolating:

5. exampl
e:
Mathematics exam scores of 20 students of Grade
10- Hope. Find the 35th percentile.
23 36 34 40 42 49 56 57 59 61 66 71
74 75 76 83 84 87 98 100

6. 15 × 14
will look like this
solve for the following, given the scores of 9
students in their mathematics performance
task.
Activity:
16, 7, 31, 7, 30, 31, 3, 4, 21

7. Solve the following:find the P32,P52, P70, P80, P99
the following numbers bellow shows the result
of quiz of 20 students in mathematics.
13 15 15 16 16 19 20 20
21 21 23 24 26 26 27 31
33 38 38 40
note: need complete solution!