Subjects statistics

Basic Statistics

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Basic Statistics


1. The problem is to understand basic statistics concepts typically covered in class 10, such as mean, median, mode, and range. 2. The mean (average) of a data set is calculated using the formula $$\text{Mean} = \frac{\text{Sum of all observations}}{\text{Number of observations}}$$. 3. The median is the middle value when the data is arranged in ascending order. If the number of observations is odd, the median is the middle number; if even, it is the average of the two middle numbers. 4. The mode is the value that appears most frequently in the data set. 5. The range is the difference between the maximum and minimum values in the data set, calculated as $$\text{Range} = \text{Maximum value} - \text{Minimum value}$$. 6. These measures help summarize and describe the characteristics of data. 7. For example, given data: 3, 7, 7, 2, 9 - Mean = $\frac{3+7+7+2+9}{5} = \frac{28}{5} = 5.6$ - Arrange data: 2, 3, 7, 7, 9 - Median = 7 (middle value) - Mode = 7 (appears twice) - Range = $9 - 2 = 7$ 8. Understanding these concepts is essential for analyzing data effectively.