Frequency distribution:
The frequency distribution represents the number of observations with in the interval These are graphically or tabular format.But the intervals must be mutually exclusive and exhaustive,and these are used with in a statistical context.The frequency distribution is a table it contains classes and its representing frequency.The class means quantitative or qualitative type in which the placed of raw data.The data is two types .1)Primary data 2)Secondary data.Primary data is collected by who are the investigator,some times an investigator uses another investigator of primary data.This type of data is called secondary data.The secondary data grouping and presenting in form of table.These type of tables are called Frequency distribution tables.The data form is in the table shows below.
Data Range:
It is Highest value-lowest value
Class width
Range/ desired number of classes
Upper/lower class limit – upper/lower class Limit of next class
Upper class boundary – lower class Boundary
Class midpoint
Xm = ( Lower bound + Upper bound)/2
Or
Xm = (Lower Limit + Upper Limit) /2
Frequency Distribution table:
.We can represents The frequency distribution table in number of ways.
1)Group frequency table or graph(polygon,chart)
2)Regular frequency table or Bar graph(Histogram)
When the data is from nominal or ordinary scale then we use Bar graph.
When the data measurements consists more categories than the listed in regular table then we use Group frequency distribution.
Important Notes:
1)The grouped frequency distribution table must use when the range of scores is large, causing a regular frequency table to have too many entries in the score categories (X column). The guidelines for a group frequency table include approximately 10 rows in the table
2) The Interval width of 2,5,10,20,50,100 should be used it depends on the number of rows chosen
3) Each interval of the first (lowest) value of should be a multiple of the interval width
4) Note all intervals without missing any, The top interval must contain the highest observed X value and the bottom interval should contain the lowest observed X value.
Example:
For the given data below into a frequency distribution table and show percentage of each category.
8, 9, 8, 7, 10, 9, 6, 4, 9, 8,
7, 8, 10, 9, 8, 6, 9, 7, 8, 8
x f ρ
10 2 0.1
9 5 0.25
8 7 0.35
7 3 0.15
6 2 0.10
5 0 0
4 1 0.05
The frequency distribution represents the number of observations with in the interval These are graphically or tabular format.But the intervals must be mutually exclusive and exhaustive,and these are used with in a statistical context.The frequency distribution is a table it contains classes and its representing frequency.The class means quantitative or qualitative type in which the placed of raw data.The data is two types .1)Primary data 2)Secondary data.Primary data is collected by who are the investigator,some times an investigator uses another investigator of primary data.This type of data is called secondary data.The secondary data grouping and presenting in form of table.These type of tables are called Frequency distribution tables.The data form is in the table shows below.
Data Range:
It is Highest value-lowest value
Class width
Range/ desired number of classes
Upper/lower class limit – upper/lower class Limit of next class
Upper class boundary – lower class Boundary
Class midpoint
Xm = ( Lower bound + Upper bound)/2
Or
Xm = (Lower Limit + Upper Limit) /2
Frequency Distribution table:
.We can represents The frequency distribution table in number of ways.
1)Group frequency table or graph(polygon,chart)
2)Regular frequency table or Bar graph(Histogram)
When the data is from nominal or ordinary scale then we use Bar graph.
When the data measurements consists more categories than the listed in regular table then we use Group frequency distribution.
Important Notes:
1)The grouped frequency distribution table must use when the range of scores is large, causing a regular frequency table to have too many entries in the score categories (X column). The guidelines for a group frequency table include approximately 10 rows in the table
2) The Interval width of 2,5,10,20,50,100 should be used it depends on the number of rows chosen
3) Each interval of the first (lowest) value of should be a multiple of the interval width
4) Note all intervals without missing any, The top interval must contain the highest observed X value and the bottom interval should contain the lowest observed X value.
Example:
For the given data below into a frequency distribution table and show percentage of each category.
8, 9, 8, 7, 10, 9, 6, 4, 9, 8,
7, 8, 10, 9, 8, 6, 9, 7, 8, 8
x f ρ
10 2 0.1
9 5 0.25
8 7 0.35
7 3 0.15
6 2 0.10
5 0 0
4 1 0.05
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