Maths 2 Mark Question

The word statistics is used in both its singular and plural senses.
In singular sense, statistics may be defined as the science of collection, presentation, analysis and interpretation of numerical data.
For Example: Income and expenditure of persons in a particular locality, number of persons in a particular locality, number of males and females in a particular town are statistics.

The word statistics is used in both its singular and plural senses.
In plural sense, statistics means numerical facts or observations collected with definite purpose.
For Example: Income and expenditure of persons in a particular locality, number of persons in a particular locality, number of males and females in a particular town are statistics.

The ages of ten students of a group are given below:
8-6, 9-0, 8-4, 9-3, 7-8, 8-11, 8-7, 9-2, 7-10, 8-8.
Lowest age is 7 years 8 months
Highest age is 9 years, 3months
Range = Highest age-lowest age = 9 year, 3 months, 7 years, 8 months = 1 year 7 months

True class limits:If classes are inclusive. Eg: 15 - 19, 20 - 24, 25 - 29…
Then, true lower limit of class = Upper Limit of Class - 0.5
Eg: True limits of the class is 15 - 19 are 14.5 and 19.5
But if classes are exclusive like 10 - 20, 20 - 30, 30 - 40…
Here class limits and true class limits are the same.

Cumulative frequency distribution:A table which displays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution or cumulative frequency distribution table.

Frequency table or frequency distribution is a method to represent raw data in the form from which one can easily understand the information contained in a raw data, where as a table which plays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution.