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We have studied the following points: 1. The divisor at this stage will be HCF a, b. The Fundamental Theorem of Arithmetic: Every composite number can be expressed factorized as a product of primes and this factorization is unique, apart from the order in which the prime factors occur.
Solution Ex 1. Solution: Ex 1. Find the mean number of days a student was absent. The following table gives the literacy rate in percentage of 35 cities. Find the mean literacy rate. Class limits : Suppose mark obtained by all of the students are divided into class intervals 25 � 35, 35 � 45 and so interval on. In class interval 25 � 35, 25 is called lower class limit and 35 is called upper class limit. Class size : The difference between upper and lower class limit. Class mark : It is given by.
The data obtained in original form are called raw data or ungrouped data. To put the data in a more condensed form, we make groups of suitable size, and mention the frequency of each group. Such a table is called grouped data. The class with the maximum frequency is called modal class. Median is a measure of central tendency which gives the value of the middle-most observation in the data.
The curve so obtained is called a cumulative frequency curve, or an ogive of the less than type. The curve so obtained is called a cumulative frequency curve, or an ogive of the more than type. The two ogives will intersect each other at a point. The x and y taken together in order is called coordinte of point denoted by x, y. The coordinate of the points on x-axis are of the form x, 0 and the points on the y-axis are of the form 0, y.
Coordinate of origin is 0, 0. The sign of x and y-coordinates in each of the quadrant is shown below:. The distance between any two points P x 1 , y 1 and Q x 2 , y 2 in the plane is given by, Also the distance of the point P x 1 , y 1 from the origin is. The coordinates of the point P x, y which divides the line segment joining the points A x 1 , y 1 and B x 2 , y 2 internally in the ratio m 1 : m 2 i.
The coordinates of the mid point P of the line segment joining the points A x 1 , y 1 and B x 2 , y 2 is. Find the distance between the following pairs of points: i 2, 3 , 4, 1 ii -5, 7 , -1, 3 iii a, b , -a, -b Solution: Ex 7.
Solution: Ex 7.
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