The mean of 200 values of a data was 50. It was later found that two values were wrongly readas 92 and 8 instead of 192 and 88 respectively. The correct mean is:
Question
The mean of 200 values of a data was 50. It was later found that two values were wrongly readas 92 and 8 instead of 192 and 88 respectively. The correct mean is:
Solution
Step 1: Calculate the total sum of the original data set.
The mean is calculated by dividing the total sum of the data set by the number of data points. In this case, the mean is 50 and there are 200 data points. So, the total sum of the original data set is 50 * 200 = 10,000.
Step 2: Correct the errors in the data set.
The two values were read as 92 and 8 instead of 192 and 88. So, the total sum of the data set is actually 10,000 - 92 - 8 + 192 + 88 = 10,180.
Step 3: Calculate the correct mean.
The correct mean is the total sum of the corrected data set divided by the number of data points. So, the correct mean is 10,180 / 200 = 50.9.
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