The mean of 100 observations is 50. If one of the observation 50 was misread as 150, then
what will be the new mean?
Answers
Answer:
mean of 100 observation = 50
therefore, 100*50 = 5000
therefore, 5000-150 +50
=4900
therefore new mean = 4900/100
= 49
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Answer:
As the observation 150 is added, the number of observations is 100 again. So, we get the sum of observations equal to 5100. Now let us consider the formula for the mean. Hence the value of resulting mean is 51.
Step-by-step explanation:
The mean of 100 observations = 50
Number of observations = 100
Sum of observations = Mean × Number of observations = 50 × 100 = 5000
It is given that one observation 50 is replaced by 150
Sum of observations = 5000 - 50 + 150 = 5100
We Have, Mean= Sum of Observation/Number of Observation
=5100/100
= 51
After replacing 50 by 150 the resulting mean = 51