the mean height of 25 male workers in a factory is 161 cm and the mean height of 35 female workers in the same factory is 158 cm. find the combined mean of 60 workers in the factory.
(25*161+35*158)/60
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To find the combined mean height of 60 workers in the factory, you need to calculate the total height of all the workers and divide it by the total number of workers.
First, let's find the total height of the male workers:
Mean height of male workers = 161 cm
Number of male workers = 25
Total height of male workers = Mean height * Number of male workers = 161 cm * 25 = 4025 cm
Next, let's find the total height of the female workers:
Mean height of female workers = 158 cm
Number of female workers = 35
Total height of female workers = Mean height * Number of female workers = 158 cm * 35 = 5530 cm
Now, add the total height of male workers and the total height of female workers to get the total height of all the workers:
Total height of all workers = Total height of male workers + Total height of female workers = 4025 cm + 5530 cm = 9555 cm
Finally, divide the total height of all workers by the total number of workers to get the combined mean height:
Combined mean height = Total height of all workers / Total number of workers = 9555 cm / 60 workers = 159.25 cm
Therefore, the combined mean height of the 60 workers in the factory is 159.25 cm.