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MEASURES OF POSITION
FEATURING: DECILE FOR UNGROUPED AND GROUPED DATA
Prepared by: ERIC M. DE GUZMAN
MT-1
OBJECTIVES:
►Illustrate the Measure of Position: Quartile
►Calculate specified Measure of Position of
a set of data.
MEASURES OF POSITION
FEATURING: QUARTILE of GROUPED DATA
Prepared by: ERIC M. DE GUZMAN
MT-1
QUARTILE FOR
GROUPED DATA
►The QUARTILE are the score points
which divide a distribution into
four(4) equal parts.
HOW TO SOLVE FOR A
SPECIFIED QUARTILE OF
GROUPED DATA?
MEASURES OF POSITION (DECILE).pptx
HOW TO SOLVE FOR A SPECIFIED
QUARTILE FOR GROUPED DATA?
STEP 1 Gather Data.
STEP 2 Prepare the table of
frequency.
CLASS INTERVAL FREQUENCY (f)
LESS THAN
CUMULATIVE
FREQUENCY (<cf)
LOWER BOUNDARY
(LB)
HOW TO SOLVE FOR A SPECIFIED
QUARTILE FOR GROUPED DATA?
STEP 3 Use the formula for
Percentile
STEP 4 Interpret the result.
THE FORMULA FOR SPECIFIED
QUARTILE(Qk) FOR GROUPED DATA
LB -Lower Boundary
k -{1, 2, 3}
N
<cfb
fQk
i
- Population
-less than cum. freq. below
the assumed Qk
-Freq. of the assumed Qk
- Class interval
NOTE: Assumed Quartile can
be obtained by getting the
value of
CLASS
INTERVAL
FREQUENCY
(f)
LESS THAN
CUMULATIV
E
FREQUENCY
(<cf)
LOWER
BOUNDARY
(LB)
17 -20 1 15 16.5
13 - 16 2 14 12.5
9 - 12 7 12 8.5
5 – 8 3 5 4.5
1 – 4 2 2 0.5
Assumed Q1 =
Class Interval ___ N = ___
4 15
= 3.75
Q1
4.5 LB
<cfb
fQ1
5-1
CLASS
INTERVAL
FREQUENCY
(f)
LESS THAN
CUMULATIV
E
FREQUENCY
(<cf)
LOWER
BOUNDARY
(LB)
17 -20 1 15 16.5
13 - 16 2 14 12.5
9 - 12 7 12 8.5
5 – 8 3 5 4.5
1 – 4 2 2 0.5
Assumed Q2 =
Class Interval ___ N = ___
4 15
= 7.5
Q2
8.5 LB
<cfb
fQ2
Let us consider the result of an
experiment in Biology class of Mr. Aves.
The Length of 25 insects of species
Solenopsis invicta measured in
nearest millimeter.
ACTIVITY NO. 2
29 30 42 56 30
26 29 43 55 25
29 37 41 27 33
36 28 39 54 41
37 50 35 44 31
Length of 25 Solenopsis invicta
LENGTH (mm) TALLY FREQUENCY (f)
LESS THAN
CUMULATIVE
FREQUENCY
(<cf)
LOWER
BOUNDARY
(LB)
55 - 59 II 2 25 54.5
50 - 54 II 2 23 49.5
45 - 49 0 21 44.5
40 - 44 IIII 5 21 39.5
35 - 39 IIII 5 16 34.5
30 - 34 IIII 4 11 29.5
25 - 29 IIII - II 7 7 24.5
Length of 25 Solenopsis invicta (Red Ant)
Class interval = ___ N = Ʃf =_____
25
5 Solve for Q1, Q2 and Q3
Activity 3
MEASURES OF POSITION (DECILE).pptx
MEASURES OF POSITION (DECILE).pptx
AGE TALLY
FREQUENCY
(f)
LESS THAN
CUMULATIV
E
FREQUENCY
(<cf)
LOWER
BOUNDARY
(LB)
36 - 38 I 1 20 35.5
33 - 35 0 19 32.5
30 - 22 III 3 19 29.5
27 - 29 IIII 5 16 26.5
24 - 26 IIII 5 11 23.5
21 - 23 IIII 5 6 20.5
18 - 20 I 1 1 17.5
RESPONSE OF 20 STUDENTS ABOUT PROPER AGE OF GETTING
INVOLVE INTO PHYSICAL CONTACT WITH OPPOSITE SEX
CLASS INTERVAL FREQUENCY (f)
LESS THAN
CUMULATIVE
FREQUENCY (<cf)
LOWER BOUNDARY
(LB)
33 - 39 8
26 – 32 3
19 – 25 6
12 – 18 5
5 - 11 3
EVALUATIO
N
MEASURES OF POSITION (DECILE).pptx
PERFORMANCE TASK
SCORE DESCRIPTIONS
5 Performance is exceptionally executed, fully supported with concepts of
Measures of Position
4 Performance is generally clear, some accounts are supported by concepts
of Measures of Position
3 Performance is reflective of something learned. Lacks clarity and
accounts have limited support.
2 Performance is unclear.
1 No performance.
Conduct a survey about the annual salary of the parents of 50 Grade 10 Students
Ernesto Rondon High School. Use different methods like estimation(ungrouped),
interpolation(ungrouped) and quartile for grouped data, then compare.
Be ready to present this to the class on Friday, March 1, 2019.
RUBRICS FOR PERFORMANCE TASK

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MEASURES OF POSITION (DECILE).pptx

  • 1. MEASURES OF POSITION FEATURING: DECILE FOR UNGROUPED AND GROUPED DATA Prepared by: ERIC M. DE GUZMAN MT-1
  • 2. OBJECTIVES: ►Illustrate the Measure of Position: Quartile ►Calculate specified Measure of Position of a set of data.
  • 3. MEASURES OF POSITION FEATURING: QUARTILE of GROUPED DATA Prepared by: ERIC M. DE GUZMAN MT-1
  • 4. QUARTILE FOR GROUPED DATA ►The QUARTILE are the score points which divide a distribution into four(4) equal parts.
  • 5. HOW TO SOLVE FOR A SPECIFIED QUARTILE OF GROUPED DATA?
  • 7. HOW TO SOLVE FOR A SPECIFIED QUARTILE FOR GROUPED DATA? STEP 1 Gather Data. STEP 2 Prepare the table of frequency. CLASS INTERVAL FREQUENCY (f) LESS THAN CUMULATIVE FREQUENCY (<cf) LOWER BOUNDARY (LB)
  • 8. HOW TO SOLVE FOR A SPECIFIED QUARTILE FOR GROUPED DATA? STEP 3 Use the formula for Percentile STEP 4 Interpret the result.
  • 9. THE FORMULA FOR SPECIFIED QUARTILE(Qk) FOR GROUPED DATA LB -Lower Boundary k -{1, 2, 3} N <cfb fQk i - Population -less than cum. freq. below the assumed Qk -Freq. of the assumed Qk - Class interval NOTE: Assumed Quartile can be obtained by getting the value of
  • 10. CLASS INTERVAL FREQUENCY (f) LESS THAN CUMULATIV E FREQUENCY (<cf) LOWER BOUNDARY (LB) 17 -20 1 15 16.5 13 - 16 2 14 12.5 9 - 12 7 12 8.5 5 – 8 3 5 4.5 1 – 4 2 2 0.5 Assumed Q1 = Class Interval ___ N = ___ 4 15 = 3.75 Q1 4.5 LB <cfb fQ1 5-1
  • 11. CLASS INTERVAL FREQUENCY (f) LESS THAN CUMULATIV E FREQUENCY (<cf) LOWER BOUNDARY (LB) 17 -20 1 15 16.5 13 - 16 2 14 12.5 9 - 12 7 12 8.5 5 – 8 3 5 4.5 1 – 4 2 2 0.5 Assumed Q2 = Class Interval ___ N = ___ 4 15 = 7.5 Q2 8.5 LB <cfb fQ2
  • 12. Let us consider the result of an experiment in Biology class of Mr. Aves. The Length of 25 insects of species Solenopsis invicta measured in nearest millimeter. ACTIVITY NO. 2
  • 13. 29 30 42 56 30 26 29 43 55 25 29 37 41 27 33 36 28 39 54 41 37 50 35 44 31 Length of 25 Solenopsis invicta
  • 14. LENGTH (mm) TALLY FREQUENCY (f) LESS THAN CUMULATIVE FREQUENCY (<cf) LOWER BOUNDARY (LB) 55 - 59 II 2 25 54.5 50 - 54 II 2 23 49.5 45 - 49 0 21 44.5 40 - 44 IIII 5 21 39.5 35 - 39 IIII 5 16 34.5 30 - 34 IIII 4 11 29.5 25 - 29 IIII - II 7 7 24.5 Length of 25 Solenopsis invicta (Red Ant) Class interval = ___ N = Ʃf =_____ 25 5 Solve for Q1, Q2 and Q3
  • 18. AGE TALLY FREQUENCY (f) LESS THAN CUMULATIV E FREQUENCY (<cf) LOWER BOUNDARY (LB) 36 - 38 I 1 20 35.5 33 - 35 0 19 32.5 30 - 22 III 3 19 29.5 27 - 29 IIII 5 16 26.5 24 - 26 IIII 5 11 23.5 21 - 23 IIII 5 6 20.5 18 - 20 I 1 1 17.5 RESPONSE OF 20 STUDENTS ABOUT PROPER AGE OF GETTING INVOLVE INTO PHYSICAL CONTACT WITH OPPOSITE SEX
  • 19. CLASS INTERVAL FREQUENCY (f) LESS THAN CUMULATIVE FREQUENCY (<cf) LOWER BOUNDARY (LB) 33 - 39 8 26 – 32 3 19 – 25 6 12 – 18 5 5 - 11 3 EVALUATIO N
  • 21. PERFORMANCE TASK SCORE DESCRIPTIONS 5 Performance is exceptionally executed, fully supported with concepts of Measures of Position 4 Performance is generally clear, some accounts are supported by concepts of Measures of Position 3 Performance is reflective of something learned. Lacks clarity and accounts have limited support. 2 Performance is unclear. 1 No performance. Conduct a survey about the annual salary of the parents of 50 Grade 10 Students Ernesto Rondon High School. Use different methods like estimation(ungrouped), interpolation(ungrouped) and quartile for grouped data, then compare. Be ready to present this to the class on Friday, March 1, 2019. RUBRICS FOR PERFORMANCE TASK