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Important Formulas

(1) A trial is an action which results in one or several outcomes.
(2) An experiment in which the result of a trial cannot be predicted in advance is called a random experiment.
(3) An event associated to a random experiment is the collection of some outcomes of the experiment.
(4) An event associated with a random experiment is said to happen if any one of the outcomes satisfying the definition of the event is an outcome of the experiment when it is performed.
(5) The Empirical probability of happening of an event E is defined as
Important Formulas: Data Handling | Mathematics (Maths) Class 7

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FAQs on Important Formulas: Data Handling - Mathematics (Maths) Class 7

1. What are the important formulas for data handling in Class 7?
Ans. Some important formulas for data handling in Class 7 include: - Mean: Sum of all values divided by the total number of values. - Median: The middle value in a set of data when arranged in ascending or descending order. - Mode: The value that appears most frequently in a set of data. - Range: The difference between the largest and smallest values in a set of data. - Probability: The likelihood of an event occurring, calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
2. How do you calculate the mean of a set of data?
Ans. To calculate the mean of a set of data, you add up all the values in the data set and then divide the sum by the total number of values. For example, if you have the data set {5, 7, 3, 9, 4}, you would add up all the values (5+7+3+9+4=28) and then divide by the total number of values (5). So the mean would be 28/5 = 5.6.
3. What is the median and how do you find it?
Ans. The median is the middle value in a set of data when arranged in ascending or descending order. To find the median, you first arrange the data set in order from least to greatest or greatest to least. If the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values. For example, in the data set {2, 5, 8, 10, 12}, the median would be 8.
4. How do you find the mode of a set of data?
Ans. The mode is the value that appears most frequently in a set of data. To find the mode, you look for the value that occurs most often. It is possible to have more than one mode in a data set, or there may be no mode if all values occur with the same frequency. For example, in the data set {3, 5, 2, 5, 7, 5, 9}, the mode would be 5 as it appears three times, more than any other value.
5. What is the range of a data set and how is it calculated?
Ans. The range of a data set is the difference between the largest and smallest values in the set. To calculate the range, you subtract the smallest value from the largest value. For example, in the data set {2, 5, 8, 10, 12}, the smallest value is 2 and the largest value is 12. So the range would be 12-2=10.
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