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= 3/4(10) = 7.5 Since, the result is a decimal number, interpolation is needed. 3. Third, interpolate the value to obtain the first quartile. Steps for Interpolation Step 1: Subtract the 7th data from the 8th data. 30 - 27 = 3 Step 2: Multiply the result by the decimal point obtained in the second step (Position of Q1). 3(0.5) = 1.5 Step 3: Add the result in step 2, to the second or smaller number. 27 + 1.5 = 28.5 Therefore, the value of Q3 = 28.5 Note: As we can see, these methods sometimes (but not always) produce the same results. The next part is your turn! Refer to the problem below then answer the guide questions that follow. ACTIVITY 3: TAKE THE ASSESSMENT! Sir Jaime recorded the scores of his 12 asynchronous learners in their Mathematics Test I. The data are given in the table below. Name Score Name Score Mario 20 Yla 19 Kimberly 8 Monica 14 Cecilia 13 Runeth 10 Joedelyn 27 Ralph 11 Allen 23 Jaybee 24 Rose 25 Coolen 30 GUIDE QUESTIONS 1. What is Q1, Q2, and Q3? (Use Linear Interpolation) 2. How many students belong to Q1, Q2, and Q3 in terms of their scores? Have you realized the process of finding quartiles while doing the activities? At this point, we are now going to proceed to the next measure of position which is the deciles for ungrouped data. Consider the activity below, answer the questions that follow. B. DECILES FOR UNGROUPED DATA ACTIVITY 4: BE GLAD OR NOT? Glen is an electrical engineer in one big company here in the Philippines. His salary is in the 7th decile. Should Glen be glad about his salary or not? Explain your answer.

= 3/4(10)
= 7.5
Since, the result is a decimal number, interpolation is needed.
3. Third, interpolate the value to obtain the first quartile.
Steps for Interpolation
Step 1: Subtract the 7th data from the 8th data.
30 - 27 = 3
Step 2: Multiply the result by the decimal point obtained in the second step (Position of Q1).
3(0.5) = 1.5
Step 3: Add the result in step 2, to the second or smaller number.
27 + 1.5 = 28.5
Therefore, the value of Q3 = 28.5
Note: As we can see, these methods sometimes (but not always) produce the same results.
The next part is your turn!
Refer to the problem below then answer the guide questions that follow.
ACTIVITY 3: TAKE THE ASSESSMENT!
Sir Jaime recorded the scores of his 12 asynchronous learners in their Mathematics Test I. The data are given in the table below.
Name Score Name Score
Mario 20 Yla 19
Kimberly 8 Monica 14
Cecilia 13 Runeth 10
Joedelyn 27 Ralph 11
Allen 23 Jaybee 24
Rose 25 Coolen 30
GUIDE QUESTIONS
1. What is Q1, Q2, and Q3? (Use Linear Interpolation)
2. How many students belong to Q1, Q2, and Q3 in terms of their scores?
Have you realized the process of finding quartiles while doing the activities? At this point, we are now going to proceed to the next measure of position which is the deciles for ungrouped data.
Consider the activity below, answer the questions that follow.
B. DECILES FOR UNGROUPED DATA
ACTIVITY 4: BE GLAD OR NOT?
Glen is an electrical engineer in one big company here in the Philippines. His salary is in the 7th decile. Should Glen be glad about his salary or not? Explain your answer.

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