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Welcome to the World of Statistics
ALBERTO A. RICO
32.01 – 40.00 - Very High
24.01 – 32.00 - High
16.01 – 24.00 - Average
8.01 – 16.00 - Low
0.00 – 8 .00 - Very Low
Problems of Prevailing Conditions
• What is the most prevalent career choices of Grade
12 students?
• What do the majority of population prefer to use to
replace plastic bags in the market?
Problems on Degree/Level/Extent
• What is the degree of student acceptance for the
implementation of the ROTC?
• What is the level of performance of Grade 10
students in an English test?
• What is the extent of the implementation of solid
waste management in the school from the lens of
college students?
Problems of Significant Difference
• Is there significant difference in the performance of
Sections A and B in the mathematics test?
• Are there a significant differences among the
performances of Sections A, B, C, D and E in the
mathematics test?
• Is there significant difference between the pretest and
post test scores of students in mathematics?
• Is there significant difference between the post test
results of the experimental and control groups?
Problems on Correlation
• What is the degree of correlation between Science
and Mathematics performance?
• What is the strength of correlation between Science
and Mathematics performance?
• Is there a significant correlation between Science and
Mathematics performance?
MEASURES OF CENTRAL TENDENCY
Mode Median Mean
Highest Frequency
Easiest to Determine
Most Unreliable
Less Affected by
Outliers
Determine Midpoint
Most Stable
Not Affected by
Outliers
Arrange Scores First
Add Scores/N
Most Reliable
Affected by Outliers
Known as Average
Measures of Variability
This is a summary statistic that
represents the amount of
dispersion in a data set.
Range = HS - LS
Measures of Relative Position (Descriptive)
Measures of Relative Position (Standardized)
• Stanine 1 = below -1.75;
• Stanine 2 = -1.75 to -1.25;
• Stanine 3 = -1.25 to -0.75;
• Stanine 4 = -0.75 to -0.25;
• Stanine 5 = -0.25 to 0.25;
• Stanine 6 = 0.25 to 0.75;
• Stanine 7 = 0.75 to 1.25;
• Stanine 8 = 1.25 to 1.75; and
• Stanine 9 = above 1.75.
Comparing Stanines with the ranges of z-score
Data Sets of 21 Students
in Grade 6 Math and
Science Tests
Problems:
1. What is the level of performance
of Grade 6 students in Math?
2. What is the level of performance
of Grade 6 students in Science?
3. Is there a significant difference
between the performance of
Grade 6 students in Science and
Math?
4. Is there significant correlation
between the performance of
Grade 6 students in Science and
Math?
Types-of-problems.pptx
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Types-of-problems.pptx

  • 1. Welcome to the World of Statistics ALBERTO A. RICO
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13. 32.01 – 40.00 - Very High 24.01 – 32.00 - High 16.01 – 24.00 - Average 8.01 – 16.00 - Low 0.00 – 8 .00 - Very Low
  • 14.
  • 15. Problems of Prevailing Conditions • What is the most prevalent career choices of Grade 12 students? • What do the majority of population prefer to use to replace plastic bags in the market?
  • 16. Problems on Degree/Level/Extent • What is the degree of student acceptance for the implementation of the ROTC? • What is the level of performance of Grade 10 students in an English test? • What is the extent of the implementation of solid waste management in the school from the lens of college students?
  • 17. Problems of Significant Difference • Is there significant difference in the performance of Sections A and B in the mathematics test? • Are there a significant differences among the performances of Sections A, B, C, D and E in the mathematics test? • Is there significant difference between the pretest and post test scores of students in mathematics? • Is there significant difference between the post test results of the experimental and control groups?
  • 18. Problems on Correlation • What is the degree of correlation between Science and Mathematics performance? • What is the strength of correlation between Science and Mathematics performance? • Is there a significant correlation between Science and Mathematics performance?
  • 19. MEASURES OF CENTRAL TENDENCY Mode Median Mean Highest Frequency Easiest to Determine Most Unreliable Less Affected by Outliers Determine Midpoint Most Stable Not Affected by Outliers Arrange Scores First Add Scores/N Most Reliable Affected by Outliers Known as Average
  • 20. Measures of Variability This is a summary statistic that represents the amount of dispersion in a data set. Range = HS - LS
  • 21. Measures of Relative Position (Descriptive)
  • 22.
  • 23. Measures of Relative Position (Standardized)
  • 24. • Stanine 1 = below -1.75; • Stanine 2 = -1.75 to -1.25; • Stanine 3 = -1.25 to -0.75; • Stanine 4 = -0.75 to -0.25; • Stanine 5 = -0.25 to 0.25; • Stanine 6 = 0.25 to 0.75; • Stanine 7 = 0.75 to 1.25; • Stanine 8 = 1.25 to 1.75; and • Stanine 9 = above 1.75. Comparing Stanines with the ranges of z-score
  • 25. Data Sets of 21 Students in Grade 6 Math and Science Tests Problems: 1. What is the level of performance of Grade 6 students in Math? 2. What is the level of performance of Grade 6 students in Science? 3. Is there a significant difference between the performance of Grade 6 students in Science and Math? 4. Is there significant correlation between the performance of Grade 6 students in Science and Math?