MATHEMATICS 10

The branch of mathematics that measures the uncertainty of the occurrence of an event using numbers is called probability. The chance that an event will or will not occur is expressed on a scale ranging from 0-1. It can also be represented as a percentage, where 0% denotes an impossible event and 100 % implies a certain event. Event and outcome An  Outcome  is a result of a random experiment. For example, when we roll a dice getting six is an outcome. An  Event  is a set of outcomes. For example when we roll dice the probability of getting a number less than five is an event. Note: An Event can have a single outcome. Experimental Probability Experimental probability can be applied to any event associated with an experiment that is repeated a large number of times. A trial is when the experiment is performed once. It is also known as  empirical probability . Experimental or empirical probability: P(E) =Number of trials  where the event occurred/Total Number ...

The brief notes on statistics for class 10 are given here. In this, we are going to discuss the important statistical concepts, such as grouped data, ungrouped data and the measures of central tendencies like mean, median and mode, methods to find the mean, median and mode, the relationship between them with more examples. Introduction to Statistics Ungrouped Data Ungrouped data is data in its original or raw form. The observations are not classified into groups. For example, the ages of everyone present in a classroom of kindergarten kids with the teacher is as follows: 3, 3, 4, 3, 5, 4, 3, 3, 4, 3, 3, 3, 3, 4, 3, 27. This data shows that there is one adult present in this class and that is the teacher.  Ungrouped data is easy to work when the data set is small. Grouped Data In grouped data, observations are organized in groups. For example, a class of students got different marks in a school exam. The data is tabulated as follows: Mark interval 0-20 21-40 41-60 61-80 81-100 ...