Showing posts with label Possible outcomes. Show all posts
Showing posts with label Possible outcomes. Show all posts

Tuesday, 27 March 2012

Measures of central tendency/dispersion

Measures of central tendency are define in the statistics in the form of Mean ,median and mode .Measures of central tendency defines the single value for the group of values .Sometimes these are known as the average of the bunch of values .When we talk about the Measures of central tendency it defines that which is the value repeated mostly or which value have the greater frequency .If we take some examples as in a class what is the average height of the students or in a group what is the average age of peoples so these type of questions are solved with the help of Measures of central tendency that are describe as mean , median or mode as gives the single value that define the whole group of values .
Measures of central dispersion is denoted as the gap of the values from the center means it is define the
spreadness of the values .It is defined in terms of Range or variance or standard deviation .If we take some examples to understand the Measures of central dispersion as if the age of students in the class is 9 or 15 then there is lot of variation in the group of values so these are calculated through the Measures of central dispersion .This is helps the students of grade VI for understand how we can measure the central tendency of bunch of data or central tendency of dispersion. (know more about cbse syllabus for class 10 , here)
There are some examples as if in a group there are 5 students and their age is 8 , 7 , 6 , 9 , 7 then the central tendency is define as the value having the maximum frequency that is 7 then the answer is 7 or sometimes we talk about the mean that is define also as the average value then it is calculated as
( 8 + 7 + 6 + 9 + 7) / 5 = 37 / 5 = 7 .4 years that is about the 7 in round figures.
In the next session we will discuss about predictions. 

Sunday, 25 March 2012

Possible outcomes

Hello students, in this section we are going to discuss the possible outcomes in probability. Probability means predictions. Possible outcomes means when we are performing a task then its results will be there, so the total number of expected results are called as the possible outcomes for an event. Let us take a look to understand the possible outcomes for the various experiments.
i) When we toss a coin, we get either a Head (H) or a Tail (T). Thus, all possible outcomes are H, T.
ii) Suppose two coins are tossed simultaneously. Then, all possible outcomes are HH, HT, TT and TH.
Remarks:- HH means head on first coin and head on second coin.
HT means head on first coin and tail on second coin.
iii) When we toss a three coin simultaneously. Then, all possible outcomes are HHH, HHT, HTH, THH, HTT, THT, TTH, TTT. (know more about cbse board, here)

Remarks: - HHH means head on first coin, head on second coin and head in third coin too.
HHT means head on first coin, head on second coin and tail on third coin.
iv) In drawing a card from a well shuffled deck of 52 cards, total number of possible outcomes is 52.
v) On rolling a die, the number on the upper face is the outcome. Thus all possible outcomes are 1, 2, 3, 4, 5, 6.
The collection of all or some of the possible outcomes is called the event.
The all possible outcomes are also known as the sample spaces and we denote the sample spaces as ‘s’ = the total number of possible outcomes
 I hope this information will be valuable for the Grade VI students.
 In the next session we are going to discuss Probability Help.