Question

Arithmetic mean of 98 values is 50. Two values 60 and 70 were left out at the time of calculations. Find the mean of 100 values

Answer 1

Answer:

50.30

Step-by-step explanation:

Arithmetic mean = $\frac{\textrm{ sum of the observation}}{\textrm{number of the observation}}$

Now, number of observation = 98 and mean is 50

putting in the above formula , we get

Mean of 98 values = $\frac{\textrm{ sum of 98 values}}{\textrm{98}}$

or, 50 = $\frac{\textrm {sum of 98 observations}}{98}$

or, sum of 98 ob. = 98 x 50 = 4900

Now, two left out values are 60 and 70.

So, sum of 100 observations = sum of 98 observation + 60 + 70

= 4900 + 60 + 70 = 5030

So, mean of 100 observation = $\frac{5030}{100}$

= 50.30