460808909-23-Quartiles-for-Grouped-Data.pptx

460808909-23-Quartiles-for-Grouped-Data.pptx

1. Guess Me!..   Total number of letters of the answer Total number of the given word of FRACTIONS speak louder than words.   ACTIONS

2. of MEASUREMENT is an amount of or degree of something.   MEASURE 1 Guess Me!..

3. of IMPOSITION is the way someone stands, sits, or lies down.   POSITION 2 Guess Me!..

4. Guess Me!.. of DIVIDEND is to separate something into classes or categories.   DIVIDE 3

5. Guess Me!.. of FOURTEEN is the fourth in a set of series.   FOUR 4

6. Guess Me!.. of EQUALITARIAN is having the same mathematical value.   EQUAL 5

7. Guess Me!.. of SPARTANS is one of the pieces that are put together to form something.   PART 6

8. 8 MEASURE QUARTILE for GROUPED DAT A POSITION DIVIDE EQUAL PART FOUR

9. 50% Median 50% Q 1 Q 3 Q 2 25% 75%

10. QUARTILES for GROUPED DATA Quartiles are values which divide the distribution into four equal parts. Q K LB     Q K Q K = Quartile LB = lower boundary of the Q K class N = total frequency cfb = cumulative frequency of the class above the Q K class f Q K = frequency of the Q K class k = nth quartile, k= 1,2, and 3 i = size of class interval Where:

11. Calculate the Q 1 , Median(Q 2) and Q 3 of test scores of 50 students in Mathematics. EXAMPLE: Test Scores Frequency 21 – 25 6 26 – 30 12 31 – 35 9 36 – 40 12 41 – 45 8 46 - 50 3 21 – 25 6 26 – 30 12 31 – 35 9 36 – 40 12 41 – 45 8 46 - 50 3

12. Test Scores Frequency 21 – 25 6 26 – 30 12 31 – 35 9 36 – 40 12 41 – 45 8 46 - 50 3 21 – 25 6 26 – 30 12 31 – 35 9 36 – 40 12 41 – 45 8 46 - 50 3 Lower Boundaries LB   20.5 25.5 30.5 35.5 40.5 45.5 6 18 27 39 47 50 Cumulative Frequency     1. Construct the Lower Boundaries in third column and the less than cumulative frequency in the fourth column. 2. Determine the quartile class and calculate the quartile using the formula. 3. Interpret the results. STEPS: 6+12= 18+9= 27+12= 39+8= 47+3=

13. CI f LB < cf 21 – 25 6 20.5 26 – 30 18 31 – 35 9 30.5 27 36 – 40 12 35.5 38 41 – 45 8 40.5 46 46 - 50 3 45.5 50         1 st Quartile Class Find: Q 1 Q 1 LB     Q 1 Q 1 25.5             Q 1 25.5           Q 1         Q 1     25% of the students in Mathematics got a score less than or equal to 28.21 12 25.5 6  

14. CI f LB < cf 21 – 25 6 20.5 6 26 – 30 12 25.5 31 – 35 27 36 – 40 12 35.5 39 41 – 45 8 40.5 47 46 - 50 3 45.5 50         2 nd Quartile Class Find: Q 2 Q 2 Q LB     Q 1 Q 2 30.5             Q 2 30.5           Q 2         Q 2     50% of the students in Mathematics got a score less than or equal to 34.39 9 30.5 18  

15. CI f LB < cf 21 – 25 6 20.5 6 26 – 30 12 25.5 18 31 – 35 9 30.5 36 – 40 38 41 – 45 8 40.5 46 46 - 50 3 45.5 50         3 rd Quartile Class Find Q 3. Q 3 Q LB     Q 3 Q 3 35.5             Q 3 35.5           Q 3         Q 3     75% of the students in Mathematics got a score less than or equal to 39.88         12 35.5 27

16. The table below shows the age distribution of the contestants in a raffle draw sponsored by a popular noon time game show. Find the 3 quartiles and interpret the results. Age Frequency 25 – 28 4 29 – 32 8 33 – 36 11 37 – 40 9 41 – 44 12 45 – 48 6 49 - 52 7 53 – 56 8 57 - 60 5 25 – 28 4 29 – 32 8 33 – 36 11 37 – 40 9 41 – 44 12 45 – 48 6 49 - 52 7 53 – 56 8 57 - 60 5

17. 25 – 28 4 29 – 32 8 33 – 36 37 – 40 9 41 – 44 12 45 – 48 6 49 - 52 7 53 – 56 8 57 - 60 5 25 – 28 4 29 – 32 8 33 – 36 37 – 40 9 41 – 44 12 45 – 48 6 49 - 52 7 53 – 56 8 57 - 60 5 24.5 28.5 36.5 40.5 44.5 48.5 52.5 56.5 1 st Quartile Class Find Q 1 .   4 23 32 44 50 57 65 70 Q 1 LB     Q 1 Q 1 32.5           25% of the students in Mathematics got a score less than or equal to 35. Q 1 32.5             Q 1         Q 1       7     11 32.5 12  

18. 25 – 28 4 29 – 32 8 33 – 36 11 37 – 40 9 41 – 44 45 – 48 6 49 - 52 7 53 – 56 8 57 - 60 5 25 – 28 4 29 – 32 8 33 – 36 11 37 – 40 9 41 – 44 45 – 48 6 49 - 52 7 53 – 56 8 57 - 60 5 24.5 28.5 32.5 36.5 44.5 48.5 52.5 56.5       2 nd Quartile Class Find Q 2.   4 23 12 44 50 57 65 70 Q 2 LB     Q 2 Q 2 40.5           25% of the students in Mathematics got a score less than or equal to 39.88 Q 2 40.5             Q 2         Q 2     40.5   32 12

19. 25 – 28 4 29 – 32 8 33 – 36 11 37 – 40 9 41 – 44 12 45 – 48 6 49 - 52 53 – 56 8 57 - 60 5 25 – 28 4 29 – 32 8 33 – 36 11 37 – 40 9 41 – 44 12 45 – 48 6 49 - 52 53 – 56 8 57 - 60 5 24.5 28.5 32.5 36.5 40.5 44.5 52.5 56.5 3 rd Quartile Class Find Q 3 .   4 12 23 32 44 57 65 70 Q 3 LB     Q 3 Q 3 48.5           25% of the students in Mathematics got a score less than or equal to 35. Q 3 48.5             Q 3         Q 3               7 48.5 50    

20. Number of Kilograms (CI) Number of Sections (f) 3 – 5 1 6 – 8 4 9 – 11 3 12 – 14 9 15 – 17 13 18 - 20 5 21 – 23 7 24 – 26 8 27 - 29 4 30 - 32 6 BOARDWORK A Mathematics Club conducted a newspaper drive. The number of kilograms of newspaper given by 60 sections was recorded as follows: Find and Interpret each Values.  

21. CI f LB < cf 3 – 5 1 2.5 1 6 – 8 4 5.5 5 9 – 11 3 8.5 8 12 – 14 9 11.5 17 15 – 17 13 14.5 30 18 - 20 5 17.5 35 21 – 23 7 20.5 42 24 – 26 8 23.5 50 27 - 29 4 26.5 54 30 - 32 6 29.5 60 Q 1   Q 2   Q 3