Question

The average of 45 numbers is 150. Later it is found that a number 46 is wrongly written as 91, then find the correct average. A)151 B)147 C)149 D)153

Answer 1

Let's start solving the problem step by step.

Step 1: We know that the average of 45 numbers is 150. The average is calculated by summing all the numbers together and then dividing by the count of numbers. In our case, the total sum of all 45 numbers would result in a total of 45 * 150 = 6750.

Step 2: We were given that a mistake was made; instead of 46, the number 91 was recorded. To correct this, we need to compensate for this difference in our total sum. We have to subtract the wrongly noted number and add the correct number to our total sum. This would give us the correct total sum: 6750 - 91 + 46 = 6705.

Step 3: With this newly calculated correct total sum, we can now calculate the correct average. As earlier, we divide the total by the count of numbers. So, the correct average would be 6705 ÷ 45 = 149.

By these calculations, the correct average of the numbers, accounting for the correction of the mistake, is 149.

Answer: C)149