Question

One set of 100 observations has the mean 15 and another set of 150 observations has the mean
16. Find the mean of 250 observations by combining the two sets of given observations.​

Answer 1

Answer:

/

Total of 100 observation: 15x100 =

1500

Total of 150 obser.....l6x150 =

24oo

mean of (loo+150-250) obser......

1500+2400/250=15.6

Answer 2

The mean of 250 observations is 15.6

Step-by-step explanation:

$Average = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

One set of 100 observations has the mean 15

$15 = \frac{\text{Sum of 100 observations}}{100}$

$1500=\text{Sum of 100 observations}$

Another set of 150 observations has the mean  16.

$16=\frac{\text{Sum of 150 observations}}{150}$

$16 \times 150 =\text{Sum of 150 observations}$

$2400=\text{Sum of 150 observations}$

Sum of 250 observations = 1500+2400=3900

Mean of 250 observations =$\frac{3900}{250}=15.6$

Hence The mean of 250 observations is 15.6

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