Tally mark
The range for the above ungrouped data is 49 - 12 = 37. Normally it is desirable to divide the range into 6 to 10 classes. Consider the class 11 - 15. If a student scores 11 marks or 15 marks, he will be put in this class. For this class, 11 is the lower limit and 15 is the upper limit an..
The range for the above ungrouped data is 49 - 12 = 37. Normally it is desirable to divide the range into 6 to 10 classes. Consider the class 11 - 15. If a student scores 11 marks or 15 marks, he will be put in this class. For this class, 11 is the lower limit and 15 is the upper limit an..Frequency Distribution
Frequency Distribution - A teacher gave a test to a class of 26 students. The maximum mark is 5. The marks obtained by the pupils are: Such data as above is called ungrouped (or raw) data. We may arrange the marks in ascending or descending order. The data so represented is called an arra..
Frequency Distribution - A teacher gave a test to a class of 26 students. The maximum mark is 5. The marks obtained by the pupils are: Such data as above is called ungrouped (or raw) data. We may arrange the marks in ascending or descending order. The data so represented is called an arra..Poisson Distribution as a Limiting Form of the Binomial Distribution
>There are many daily life situations where n is very large and p is very small. In such situations, the Poisson distribution can be more conveniently used as an approximation to binomial distriburtion which may prove cumbersome for large values of n. This is called Poisson approximation ..
Cumulative Frequency Distribution
Cumulative frequency is obtained by adding the frequency of a class interval and the frequencies of the preceding intervals upto that class interval. This is explained by an example below. The following frequency distribution table gives the marks obtained by 40 students: T..
Class limits for Table (a):
The lowest values of various classes are 11, 16, 21,. These values are called lower limits. The greatest values of various classes are 15, 20, 25,. These values are called upper limits. Therefore, Lower limit of class 11 - 15 is 11 Upper limit of class 11 - 15 is 15 Now, class limits are not alway..
The lowest values of various classes are 11, 16, 21,. These values are called lower limits. The greatest values of various classes are 15, 20, 25,. These values are called upper limits. Therefore, Lower limit of class 11 - 15 is 11 Upper limit of class 11 - 15 is 15 Now, class limits are not alway..Conclusion
In this chapter we have studied the method of evaluating probabilities of events relating to independent events and conditional events. We have also studied about random variables and their probability distributions, namely binomial distribution and Poisson h..
Class
Inclusive type of frequency distribution can be converted into exclusive type as in Table (..
Inclusive type of frequency distribution can be converted into exclusive type as in Table (..Class mid-mark or Class mark
is the mid-point of each interval. Class mark for Class (11 - 15) is . Similarly, class marks for other intervals are 18, 23, 28 When the data is put in a frequency distribution table, the marks obtained by an individual has lost its meaning. Thus some details have been los..
is the mid-point of each interval. Class mark for Class (11 - 15) is . Similarly, class marks for other intervals are 18, 23, 28 When the data is put in a frequency distribution table, the marks obtained by an individual has lost its meaning. Thus some details have been los..Histogram
) The class intervals are made continuous and then the histogram is constructed. (ii) A kink or a zig-zag curve is shown near the origin. It indicates that the scale along the horizontal axis does not start at the origin. (iii) The horizontal scale and the vertical scale need not be same. Dist..
Frequency Polygon
Frequency Polygon - In a frequency distribution, the mid-value of each class is obtained. Then on the graph paper, the frequency is plotted against the corresponding mid-value. These points are joined by straight lines. These straight lines may be extended in both directions to meet the X..
Frequency Polygon - In a frequency distribution, the mid-value of each class is obtained. Then on the graph paper, the frequency is plotted against the corresponding mid-value. These points are joined by straight lines. These straight lines may be extended in both directions to meet the X.. Result
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