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Questions and Answers
What is the purpose of step 6 in the given process?
What is the purpose of step 6 in the given process?
- To determine the relative frequency
- To obtain the classmark
- To complete the frequency column
- To determine the true class boundaries (correct)
How is the class mark (CM) of the lowest class calculated?
How is the class mark (CM) of the lowest class calculated?
- By adding c to the preceding LTCB
- By averaging the upper and lower class boundaries (correct)
- By multiplying the upper and lower class boundaries
- By subtracting the upper class boundary from the lower class boundary
What is the relative frequency of the class 30-34?
What is the relative frequency of the class 30-34?
- 10%
- 29.2% (correct)
- 5.8%
- 17.5%
What is the purpose of step 8 in the given process?
What is the purpose of step 8 in the given process?
How are the succeeding true class boundaries obtained?
How are the succeeding true class boundaries obtained?
What is the class mark of the class 35-39?
What is the class mark of the class 35-39?
What is the frequency of the class 25-29?
What is the frequency of the class 25-29?
How many classes are present in the frequency distribution table?
How many classes are present in the frequency distribution table?
What is the primary purpose of statistics?
What is the primary purpose of statistics?
What is the term for factual information or observations that may be quantitative or qualitative?
What is the term for factual information or observations that may be quantitative or qualitative?
What is the main purpose of data presentation?
What is the main purpose of data presentation?
What is descriptive statistics concerned with?
What is descriptive statistics concerned with?
What is the term for numerical quantities derived from data?
What is the term for numerical quantities derived from data?
What is the purpose of data analysis?
What is the purpose of data analysis?
What is an example of using sample data to make predictions?
What is an example of using sample data to make predictions?
What is the purpose of collecting data?
What is the purpose of collecting data?
What is the total number of observations in the frequency distribution table?
What is the total number of observations in the frequency distribution table?
What is the class mark of the class 20-24?
What is the class mark of the class 20-24?
What is the relative cumulative frequency of the class 45-49?
What is the relative cumulative frequency of the class 45-49?
What is the cumulative frequency of the class 35-39?
What is the cumulative frequency of the class 35-39?
What is the frequency of the class 40-44?
What is the frequency of the class 40-44?
What is the purpose of a Frequency Distribution Table?
What is the purpose of a Frequency Distribution Table?
What is the class boundary of the class 25-29?
What is the class boundary of the class 25-29?
How is the range (R) calculated in the construction of a Frequency Distribution Table?
How is the range (R) calculated in the construction of a Frequency Distribution Table?
What is the relative frequency of the class 30-34?
What is the relative frequency of the class 30-34?
What is the ideal number of classes in a Frequency Distribution Table?
What is the ideal number of classes in a Frequency Distribution Table?
What is the percentage of observations in the class 20-24?
What is the percentage of observations in the class 20-24?
What is the formula to calculate the number of classes (k) in a Frequency Distribution Table?
What is the formula to calculate the number of classes (k) in a Frequency Distribution Table?
How is the class interval (c) calculated in a Frequency Distribution Table?
How is the class interval (c) calculated in a Frequency Distribution Table?
What is the purpose of rounding off the class interval (c) in a Frequency Distribution Table?
What is the purpose of rounding off the class interval (c) in a Frequency Distribution Table?
What is the difference between the 2000 and 2005 population projections in the Philippines according to Table 2.0?
What is the difference between the 2000 and 2005 population projections in the Philippines according to Table 2.0?
What is the source of the population projection data in Table 2.0?
What is the source of the population projection data in Table 2.0?
What is the notation for the i^th^ observation?
What is the notation for the i^th^ observation?
What is the sum of the observations x_1, x_2, ..., x_N expressed as?
What is the sum of the observations x_1, x_2, ..., x_N expressed as?
What is the result of Σ(i = 1)^N cx_i, where c is a constant?
What is the result of Σ(i = 1)^N cx_i, where c is a constant?
What is the result of Σ(i = m)^N c, where c is a constant?
What is the result of Σ(i = m)^N c, where c is a constant?
What is the result of Σ(i = 1)^N (ax_i ± by_i), where a and b are constants?
What is the result of Σ(i = 1)^N (ax_i ± by_i), where a and b are constants?
What is the result of (Σ(i = 1)^4 x_i)(Σ(i = 1)^4 y_i)?
What is the result of (Σ(i = 1)^4 x_i)(Σ(i = 1)^4 y_i)?
What is the result of Σ(i = 1)^4 x_i^2y_i^2, given the values of x_i and y_i?
What is the result of Σ(i = 1)^4 x_i^2y_i^2, given the values of x_i and y_i?
What is the result of Σ(i = 2)^4 (x_i - y_i)^2, given the values of x_i and y_i?
What is the result of Σ(i = 2)^4 (x_i - y_i)^2, given the values of x_i and y_i?
What is the result of Σ(i = 1)^4 (x_i^2 - y_i^2), given the values of x_i and y_i?
What is the result of Σ(i = 1)^4 (x_i^2 - y_i^2), given the values of x_i and y_i?
What is the value of Σ(i = 1)^4 (x_i^2 - y_i^2), given the values of x_i and y_i?
What is the value of Σ(i = 1)^4 (x_i^2 - y_i^2), given the values of x_i and y_i?
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Study Notes
Frequency Distribution Table (FDT)
- A statistical table used to summarize and organize data
- Has several columns: Class, Tally, Frequency (f), True Class Boundary (TCB), Relative Frequency (RF%), and Class Mark (CM)
Steps to Construct an FDT
- Determine the range (R) of the data
- Determine the number of classes (k) using the rule of thumb or a formula
- Compute the class interval (c)
- Construct the classes with lower and upper class limits
- Summation notation is used to give a concise expression for a sum of values of a variable
Statistics
- Concerned with scientific methods of collection, organization, presentation, analysis, and interpretation of data
- Branches: Descriptive Statistics (summarizing and presenting data) and Inferential Statistics (drawing conclusions and making decisions)
Descriptive Statistics
- Focuses on organizing, summarizing, and presenting data
- Uses measures of central tendency (mean, median, mode) and variability (range, variance, standard deviation)
Summation Notation
- Used to express the sum of values of a variable
- Example: ∑xi = x1 + x2 + … + xN
Frequency Distribution Table Applications
- Cumulative frequencies (CF) and relative cumulative frequencies (RCF) can be computed
- Applications in business, economics, social sciences, and engineering
Example: Frequency Distribution Table of Stock Prices
- Class: intervals of stock prices (e.g., 15-19, 20-24, etc.)
- Frequency (f): number of observations in each class
- True Class Boundary (TCB): lower and upper limits of each class
- Relative Frequency (RF%): proportion of observations in each class
- Class Mark (CM): midpoint of each class interval
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