The mean of 16 items was found to be 30. On checking, it was found that two items were wrongly taken as 22 and 18 instead of 32 and 28 respectively. Find the correct mean
Question
The mean of 16 items was found to be 30. On checking, it was found that two items were wrongly taken as 22 and 18 instead of 32 and 28 respectively. Find the correct mean
Solution
Step 1: Calculate the total sum of the 16 items using the incorrect mean. The formula to calculate the sum is (mean * number of items). So, the total sum is 30 * 16 = 480.
Step 2: Calculate the sum of the two incorrect items, which is 22 + 18 = 40.
Step 3: Subtract the sum of the incorrect items from the total sum. So, 480 - 40 = 440. This is the sum of the remaining 14 correct items.
Step 4: Calculate the sum of the two correct items, which is 32 + 28 = 60.
Step 5: Add the sum of the correct items to the sum of the remaining items. So, 440 + 60 = 500. This is the correct total sum of all 16 items.
Step 6: Calculate the correct mean by dividing the correct total sum by the number of items. So, the correct mean is 500 / 16 = 31.25.
Similar Questions
The mean of 100 observations was found to be 40. Later on, it was discovered that two items werewrongly taken as 30 and 27 instead of 3 and 72. Find correct mean.
The average of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average is?Options29.52929.829.9
The mean of 20 observations is 6.21. Later on, it was discovered that the two items +5 and +3 were taken as-5 and -3. Find the correct mean.
Find the mean proportion to 36 and 16? Options : 24 36 18 26
The mean of 40 numbers is 37.5. If one of these numbers is taken as 53 instead of 35, then the correct mean is ________________
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.