A mean and standard deviation of 200 observations were found to be 60 and 20. It was later found that 2 observations were wrongly recorded as 3 and 67 instead of 13 and 17 respectively. Find the correct mean and standard deviation.
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Answer:
59.9
Step-by-step explanation:
Mean = 60
No. of observations = 200
Let the sum of the observations be x
therefore, 60 = x/200
60 X 200 = x
12000 = x
hence the wrong observation should be subtracted from this and correct observations should be added.
12000 - 3- 67 = 11930
therefore, 11930 + 13 + 17 = 11960
therefore mean = 11960/200
= 59.9
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