Question

The
mean of 100 observation is 50. If one
of the observation, which was 50 is replaced
by 150.find the resulting mean


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Answer 1

Answer:

If one of the observations which was 50 is replaced by 150 the resulting mean will be. (A) 51. Then we substitute the values of number of observations and mean in it and find the sum of observations. ... Then we subtract the value 50 and add 150 to it as 50 is replaced by 150.

Step-by-step explanation:

jay shree Krishna^_^

Answer 2

Answer:

We are given that mean of 100 observations is 50.

We are also given that an observation which was 50 is replaced by 150.

We need to find the mean of new observations.

Now let us consider the formula for mean.

Mean=Sum of observations

Total number of observations

Using this formula, and substituting the value of mean and number of observations we get,

⇒50=Sum of observations100⇒Sum of observations=50×100⇒Sum of observations=5000

We are given that an observation 50 is replaced by 150.

First let us subtract the value 50 from the sum of observations. Then we get,

⇒Sum of observations=5000−50⇒Sum of observations=4950

As the observation 50 is subtracted, the number of observations is 99.

Now, let us add the observation 150 to the above sum.

⇒Sum of observations=4950+150⇒Sum of observations=5100

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.

Mean=Sum of observationsTotal number of observations

Now, substituting the new sum of observations and total number of observations in it we get the new mean as,

⇒New Mean=5100100⇒New Mean=51

Hence the value of resulting mean is 51.

Step-by-step explanation:

Hope it helps u