Introduction
Definition: Comprehension means 'understanding' whatever you read and answering questions related to it. Answering question to a given passage depends actually on the following abilities of a student.
(i) How good you are in understanding the meaning of the entire passage;
(ii) In finding the answer in the passage; (iii) Command you have in English Language.
Histogram
It.is a graphical representation of frequency distribution in which class-intervals are taken along x - axis and frequency are taken along y - axis.
Frequency Polygon
The curve obtained by joining midpoints of successive tops of the rectangles of a histogram represents frequency polygon.
Bar Graph
It is the most simple and widely used chart (or graph).
In this representation, bars are drawn with some width at each column. The scale showing the heights of the bars is represented along with the axis and in proportion to the frequency.
Mode
It is defined as the value of variable which has highest frequency. The mode of data 10, 12, 14, 10, 14, 20, 30, 10, 25, 23, 10, 12 is 10, because it occurs most of the time. In the class - interval 1- 5, 5 is called upper limit and 1 is the lower limit.
David throws a die 10 times and the following are outcomes 2, 5, 6, 6, 1, 5, 4,1, 4, 6, 5. The mean of the above observation is:
(a) 3
(b) 4.5
(c) 5
(d) 45
(e) None of these
Answer: (b)
Explanation
\[mean=\frac{sum\,of\,observation}{Total\,number\,of\,observation}\]
\[=\frac{2+5+6+6+1+5+4+1+4+6+5}{10}=4.5\]
If more...
Median
Step 1: Arrange the given data either in ascending or descending order
Step 2: Count the number of observation.
Step 3: If the number of observation is odd, then \[median={{\left( \frac{n+1}{2} \right)}^{th}}observation\]
Step 4: If the number of observation is even, then
\[\frac{median={{\left( \frac{n}{2} \right)}^{th}}observation+{{\left( \frac{n}{2}+1 \right)}^{th}}observation}{2}\]
Find the median of 4, 5, 3, 3, 2, 1, 5
Solution:
Arrange the data in ascending order, we get 1, 2, 3, 3, 4, 5, 5 Here the number of observation is 7 which is odd number that is Median \[={{\left( \frac{n+1}{2} \right)}^{th}}\] observation
\[={{\left( \frac{7+1}{2} \right)}^{th}}\] observation i.e. the fourth observation. Therefore, median is 3
Find the median of first six prime number
Solution: more...
Mean
Mean is defined as the ratio of sum of observation to total number of observation.
or, 
Find the mean of first five even numbers
Solution:
First five even numbers are 2, 4, 6, 8, 10
Introduction
Modern society is information oriented. Every person wants numeric information of different fields of the society like the marks obtained in a particular subject by the students, five year plans etc. Statistics is a branch of Mathematics which deals with the process, analyzing and interpreting the data. Data is defined as the particular information in numeric form.
Primary Data
Primary data means the data that have been collected by collector for some purpose. It means when an authorized organization or an investigator or an enumerator collects the data for the use to himself or with the help or an institution or an expert then the data collected is called primary data.
Secondary Data
Secondary data is data that have been collected by others and used by more...
Circumference and area of a Circle
The boundary of the circle is called circumference.
Circumference of a circle \[=2\pi r.\]
Find the circumference of a circle whose diameter is 4.2 cm.
(a) 11.1 cm
(b) 112.2cm
(c) 13.3cm
(d) 13.2cm
(e) None of these
Answer: (d)
Explanation
Diametre of circle = 4.2 cm
\[\therefore \]Radius of circle = 2.1 cm
Circumference \[=2\pi r=2\times \frac{22}{7}\times 2.1=2\times 22\times 0.3=13.2cm\]
Thus the circumference of this circle = 13.2 cm.
Find the radius of circle whose circumference is 88 m.
(a) 14m
(b) 15m
(c) 120m
(d) 25m
(e) more...
Triangles
We know that the triangle is a closed region which is bounded by three line segments.
Standard Units of Area
The inter relationship among various units of measurement of area are listed below.
