The birth weights (to the nearest pound) of a sample of 29 newborn babies at a certain hospital are given in the following table, along with the number of babies at each birth weight.Number of babies Birth weight (in pounds)babies-2 5babies-11 6babies-16 7Find the mean birth weight of these 29 babies. Round your answer to at least one decimal place.

Question

26-10-2022
Mathematics

Answered

The birth weights (to the nearest pound) of a sample of 29 newborn babies at a certain hospital are given in the following table, along with the number of babies at each birth weight.Number of babies Birth weight (in pounds)babies-2 5babies-11 6babies-16 7Find the mean birth weight of these 29 babies. Round your answer to at least one decimal place.

Answer :

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EevieW228328 EevieW228328 · Answer 1 · 2022-10-26T00:02:55-04:00

Given: The birth weights (to the nearest pound) of a sample of 29 newborn babies at a certain hospital are given in the following table, along with the number of babies at each birth weight.

Number of babies Birth weight (in pounds)

babies-2 5

babies-11 6

babies-16 7

Required: The mean birth weight of these 29 babies.

Explanation:

The total babies are 29.

Mean weight of babies is Total weight of 29 babies divided by total number of babies.

Now,

weight of 2 babies = 5

weight of 11 babies = 6

weight of 16 babies = 7

So total weight (in pounds) =

[tex]\begin{gathered} (2\times5)+(11\times6)+(16\times7) \\ =10+66+112=188 \end{gathered}[/tex]

Hence Mean weight(in pounds) is:

[tex]Mean\text{ weight = }\frac{188}{29}=6.48[/tex]

Final Answer: Mean weight of babies is 6.48 pounds.