Final answer:
The mean weekly wage of the seven men at the company is calculated to be approximately £440 by subtracting the total wages of the women from the overall total wages and then dividing by the number of men.
Step-by-step explanation:
To calculate the mean weekly wage of the seven men in the company, we first need to understand the overall wage distribution among the employees. The total weekly wages for the ten employees is 10 times the mean weekly wage, which would be £464 times 10, resulting in a total wage amount of £4640. We also know the mean weekly wage of the three women is £520; hence, the total wage for the women is £520 times 3, which equals £1560.
Subtracting the total wages of the women (£1560) from the overall total wages (£4640) leaves us with the total wages for the seven men. £4640 - £1560 = £3080. To find the mean wage for the seven men, we then divide this figure by the number of men, which is seven. Therefore, £3080 / 7 equals a mean wage of approximately £440 per week for each man.
So, the mean weekly wage of the seven men at the company is £440.