Question

The average income of 100 persons is calculated 21, while the average income of all the 150 persons is Rs. 25. calculate the average income of 50 persone's.​

Answer 1

The average income of 50 persons is 33 rupees.

Step-by-step explanation:

• The average income of 100 persons = 21 Rupees

• The average income of 150 persons = 25 Rupees

We can understand, if we add 100 + 50, we get 150. So, we can apply the formula of combined average.

• We apply the combined average formula as,

• Combined average income = $\dfrac{N_1\bar X_1 + N_2\bar X_2}{N_1 + N_2}$

Now, we can put the value of variables.

• 25 = $\dfrac{100\times 21 + 50 \times \bar X_2}{100 + 50}$

       25 = $\dfrac{2100 + 50 \times \bar X_2}{150}$

       1650 = $50 \times \bar X_2$

$\bar X_2$ = 33 rupees

This is the average income of 50 persons.

Answer 2

Answer:

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