Question

The mean of 8 observation of a data set is 25 if two more observation 45 and 35 added to the data set,find the mean of combined data set

Answer 1

Mean of 8 observations of a data set = 25

==> Mean = Sum of all observations / Number of observations

==> sum of all observations / 8 = 25

==> sum of all observations = 200

Now,

After adding 35 and 45 , number of observations = 10

And,

Sum of all observations, = 200 + 35 + 45

==> sum of all observations = 280

Now,

Mean = Sum of all observations / Number of observations

==> Mean = 280/10

==> Mean = 28

Hence, The new mean will be 28

Answer 2

Answer:

Mean of 8 observations of a data set = 25

==> Mean = Sum of all observations / Number of observations

==> sum of all observations / 8 = 25

==> sum of all observations = 200

Now,

After adding 35 and 45 , number of observations = 10

And,

Sum of all observations, = 200 + 35 + 45

==> sum of all observations = 280

Now,

Mean = Sum of all observations / Number of observations

==> Mean = 280/10

==> Mean = 28

Hence, The new mean will be 28

Step-by-step explanation: