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DECILE FOR UNGROUPED DATA-MOV 4 COPY.pptx

The document provides instructions for calculating deciles using the Mendenhall and Sincich formula and interpreting what different decile values represent. It includes an example of computing the third decile (D3) of test scores and interpreting what the D3 value means. Various methods for computing deciles and formulas are defined, along with how to interpret different decile values.

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DECILE FOR UNGROUPED DATA A PRESENTATION BY MRS. LANIE R. BAYANI January 23, 2020
Learning Competencies: M10SP-IVb-1 - calculate the decile value of a set of data. M10SP-IVc-1 - interpret measures of position (Decile)
Direction: You have 4 pictures that have 1 thing in common and your task is to guess the word. Decide at which subject area you encounter these pictures.
___ ___ ___ ___ ___ ___ ___ Y U R E M B S E A D M E A S U R E
___ ___ ___ ___ ___ ___ ___ ___ O T O N I X S I A P P O S I T I O N
___ ___ ___ ___ ___ ___ D E I N I D G V M H D I V I D E
___ ___ ___ P E I N I J O V T W T E N
___ ___ ___ ___ ___ U E I N L Q O A P S E Q U A L
___ ___ ___ ___ ___ P E R N L Q O A T S P A R T S
DECILE FOR UNGROUPED DATA: 𝐷𝑘 = 𝑘 10 (𝑛 + 1) Mendenhall and Sincich Formula
THE “ASIN” MOVE (Analyze, Solve, Interpret) Group Activity
DIRECTION: Read the following situation then answer each question that follow. Write the answer on the given
Note: In every correct answer, there is a corresponding score. 1 point=1 square Select a member from your group to pick and paste the number of squares from your corresponding envelopes. Form a symbol of LOVE.
SITUATION: Find the 3rd decile or 𝑫𝟑 of the following test scores of a random sample of ten students: 35 , 42 , 40 , 28 , 15 , 23 , 33 , 20 , 18 and 28.
QUESTION #1: How should the data be written when arranged in ascending order? Find the 3rd decile or 𝑫𝟑 of the following test scores of a random sample of ten students: 35 , 42 , 40 , 28 , 15 , 23 , 33 , 20 , 18 and 28. Earn 2 points!
Answer: 15 18 20 23 28 28 33 35 40 42 QUESTION #1: How should the data be written when arranged in ascending order?
QUESTION #2: What is the value of 𝒏 in the given set of data? Find the 3rd decile or 𝑫𝟑 of the following test scores of a random sample of ten students: 35 , 42 , 40 , 28 , 15 , 23 , 33 , 20 , 18 and 28. Earn 1 point!
Answer: n = 10 QUESTION #2: What is the value of 𝒏 in the given set of data?
Answer: D3 = 3 10 10 + 1 QUESTION #3: What formula will be used to solve for the 3rd decile? Earn 2 points!
Answer: 𝐷3 = 3.3 QUESTION #4: By the Mendenhall and Sincich Method, what is the position of the 3rd decile? Earn 5 points!
Answer: YES QUESTION #5: Do we need to use linear interpolation? Earn 2 points!
Answer: between the 3rd and the 4th scores or between 20 and 23 QUESTION #6: By linear interpolation, 3.3 is between what scores? Earn 4 points!
Answer: 𝑫𝟑is equal to 20.9. QUESTION #7: What is the value of D3? Earn 5 points!
Answer: This means that 30% of the students scored lower than or equal to 20.9 or 70% scored higher than 20.9. QUESTION #8: What does 𝑫𝟑 value mean? Earn 5 points!
What are the methods in computing for decile? Mendenhall and Sincich Method Linear Interpolation
What are the formulas for deciles? Dk = k 10 (n + 1) Linear Interpolation LV+(HV-LV)(Decimal Part)
How do we interpret D2.5?, D5? D7.5? This means that 25% of the data is less than or equal to the value of D2.5. This means that 50% of the data is less than or equal to the value of D5. This means that 75% of the data is less than or equal to the value of D7.5.
ACROSS THE
COLUMN A COLUMNB 1. 2,3,5,6,7,8,8,9,10(D5) 5 2. 1,1,3,4,4,7,8,8,9(D2) 1 3. 2,3,6,7,7,8,9,9,10(D6) 6 4. 3,4,4,5,5,5,5,6,7,8,8(D4) 7 5. 2,3,3,3,4,5,6,8,9(D7) 8 R I G H T S D A Direction: A number in column B is a value of the indicated decile from the given set of scores in column A. match column A with column B by connecting their corresponding dots with a line segment. Everytime you match, a letter is crossed. Write this letter in the box below corresponding to its item number. (Use Mendenhall and Sincich Method.)
1 2 3 4 5 R I GH T
ANSWER THE WORKSHEET.
KEY ANSWER: 1.B 2.B 3.B 4.B 5.B
MESSAGE: “If you work hard enough and assert yourself, and use your mind and imagination, you can shape the world to your desires.” – Malcolm Gladwell, author.
ASSIGNMENT: Answer the following problems: 1. Mrs. Labonete gave a test to her students in Statistics. The students finished their test in 35 minutes. This time is the 2.5th decile of the allotted time. What does this mean? 2. Anthony is a secretary in one big Company in La Union. His salary is in the 7th decile. Should Anthony be glad about his salary or not? Explain your answer.