Q.1. Find the mean of the 32 numbers, such that if the mean of 10 of them is 15 and the mean of 20 of them is 11 . The last two numbers are 10.

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Calculate Mean Total: Calculate the total sum of the first 10 numbers using their mean. The mean of 10 numbers is 15, so the total sum of these 10 numbers is 10 * 15. Calculation: 10 * 15 = 150Calculate Next 20 Total: Calculate the total sum of the next 20 numbers using their mean. The mean of 20 numbers is 11, so the total sum of these 20 numbers is 20 * 11. Calculation: 20 * 11 = 220Add Last Two Numbers: Add the last two numbers to the total sum. The last two numbers are both 10, so their total sum is 10 + 10. Calculation: 10 + 10 = 20Calculate Combined Total: Calculate the combined total sum of all 32 numbers. Add the sums from Step 1, Step 2, and Step 3. Calculation: 150 + 220 + 20 = 390Calculate Overall Mean: Calculate the mean of all 32 numbers. Divide the combined total sum by the number of numbers, which is 32. Calculation: 390 / 32Perform Division: Perform the division to find the mean. Calculation: 390 / 32 = 12.1875

Find the mean of the $32$ numbers, such that if the mean of $10$ of them is $15$ and the mean of $20$ of them is $11$ . The last two numbers are $10$ .

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Find the mean of the $32$ numbers, such that if the mean of $10$ of them is $15$ and the mean of $20$ of them is $11$ . The last two numbers are $10$ .