Question

If the mean weight of 4 backfield members on the football team is 234 lb and the mean weight of the 7 other players is 192 ​lb, what is the mean weight of the 11​-person​ team?

The mean weight of the team is approximately ___ pounds.
(Round to the nearest​ tenth.)

Answer 1

Answer: The mean weight of the 11-person team is 207.3 pounds

Explanation:

According to the question,

The mean weight of 4 backfield members = 234 lb
Therefore, the total weight of 4 backfield members = 4 × 234 = 936 lb

Similarly,
The mean weight of the 7 players = 192 lb
And the total weight of 7 players = 7 × 192 = 1344 lb

∴ Total weight of 11 players = (936 + 1344) lb = 2280 lb

We know that,

Mean =
`(Total Sum)/(Total number of variables)`

∴ To find the mean weight of the 11 players we need to divide the total weight by 11 :

Mean =
`(2280)/(11) = 207.27`

Rounding off to the nearest tenth we get,
Mean = 207.3

Hence, the mean weight of the team is approximately 207.3 pounds