(7x + 5*846)/(7+5) = 1000
Now just find x.
Now just find x.
Number of workers = 7 + 5 = 12
We know that
Mean = Sum of 7observations/Number of observations
So sum of workers monthly ages = Mean * Number of workers = 1000 * 12 = $ 12000
Mean of mothly wage of 5 inexperienced workers = $ 846
Number of inexperienced workers = 5
So sum of inexperienced workers monthly wages = Mean * Number of inexperienced workers = 846 * 5 = $ 4230
Sum of 7 experienced workers = sum of workers monthly ages - sum of 5 inexperienced workers monthly ages = 12000 - 4230 = $ 7770
Number of experienced workers = 7
Mean monthly wage of 7 experienced workers = Sum of 7 experienced workers monthly ages/ Number of experienced workers
= 7770/7
= $ 1110
Therefore mean mothly wage of 7 experienced workers is $ 1110
First, let's find the total wages of the 5 inexperienced workers. Since their mean monthly wage is 846, we multiply that by 5:
5 * 846 = 4,230
Now, we know that the mean monthly wage of all 12 workers (7 experienced + 5 inexperienced) is 1000. So, we can find the total wages for all 12 workers by multiplying the mean by 12:
1000 * 12 = 12,000
To find the mean monthly wage of the 7 experienced workers, we subtract the total wages of the 5 inexperienced workers from the total wages for all 12 workers:
12,000 - 4,230 = 7,770
Now, we just need to divide this total by the number of experienced workers:
7,770 / 7 = 1,110
So, the mean monthly wage of the 7 experienced workers is 1,110. Those clowns sure know how to make some money!
Mean = Sum of all values / Number of values
We are given that the mean monthly wage of the 7 experienced workers and 5 inexperienced workers combined is 1000. So, the sum of all the wages is 1000 multiplied by the total number of workers, which is 12 (7 experienced + 5 inexperienced). Therefore, the sum of all the wages is 12,000 (1000 x 12).
We are also given that the mean monthly wage of the 5 inexperienced workers is 846. Since we know the total number of inexperienced workers is 5, the sum of their wages is 846 multiplied by 5, which is 4,230 (846 x 5).
To find the sum of the wages of the 7 experienced workers, we subtract the sum of the wages of the 5 inexperienced workers from the sum of all the wages:
Sum of wages of 7 experienced workers = Sum of all wages - Sum of wages of 5 inexperienced workers
Sum of wages of 7 experienced workers = 12,000 - 4,230
Sum of wages of 7 experienced workers = 7,770
Finally, to find the mean monthly wage of the 7 experienced workers, we divide the sum of their wages by the number of experienced workers (7):
Mean monthly wage of 7 experienced workers = Sum of wages of 7 experienced workers / Number of experienced workers
Mean monthly wage of 7 experienced workers = 7,770 / 7
Mean monthly wage of 7 experienced workers ≈ 1,110