The average of 35 observations is 15 and the average of other 15 observations is 35. Find the average of all the observations.
Answers
Answer:
The average of 35 observations is 15 and the average of other 15 observations is 35. The average of all the observations is 21
Step-by-step explanation:
Average of 35 observations is 15
The equation for finding average = Total sum of observations ÷ Number
of observations
In the first case,
Let 'x' be the total sum of observations and the number of observations is 35,
∴ 15 = x ÷ 35,
x = 35 × 15 = 525
In the second case
Let 'y' be the total sum of observations and the number of observations is 15,
∴ 35 = y ÷ 15
y = 15×35 = 525
Average of all the observations = Total sum ÷ Total number
= ( x + y) ÷ (35 +15)
= 1050 ÷ 50
= 21
Therefore the average of all the observations is 21