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The average of 18 observations is recorded as 124. Later it was found that two observations with values 64 and 28 were entered wrongly as 46 and 82. Find the correct average of the 18 observations?Options137122111.7777778123

Question

The average of 18 observations is recorded as 124. Later it was found that two observations with values 64 and 28 were entered wrongly as 46 and 82. Find the correct average of the 18 observations?Options137122111.7777778123

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Solution

Sure, here is the step by step solution:

  1. First, calculate the total sum of the 18 observations by multiplying the average by the number of observations. So, 124 * 18 = 2232.

  2. Then, subtract the incorrect observations from the total sum. So, 2232 - 46 - 82 = 2104.

  3. Add the correct observations to the total sum. So, 2104 + 64 + 28 = 2196.

  4. Finally, calculate the correct average by dividing the corrected total sum by the number of observations. So, 2196 / 18 = 122.

Therefore, the correct average of the 18 observations is 122.

This problem has been solved

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