Calculate the arithmetic mean, correct to one decimal place, for the following frequency distribution of marks obtained in a Geometry test. | Marks | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | | :--- | :---: | :---: | :---: | :---: | :---: | | No of students | 7 | 13 | 15 | 12 | 3 | Attempt any four questions from this Section
Explanation
To calculate the arithmetic mean, we need to first find the midpoint of each class interval and multiply it by the frequency of that interval. We can then add up these products and divide by the total frequency to find the mean. The midpoints of the class intervals are 5, 15, 25, 35, and 45. The frequencies are 7, 13, 15, 12, and 3. We can then calculate the products and add them up to find the mean.
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