Answer:
The mean weight of the 20 geodes is 11 ounce.
Step-by-step explanation:
Mean weight:
Mean weight is actually the average weight. Add up all weight, then divides by the number objects.
[tex]\textrm{Mean weight}=\frac{\textrm{Total weight}}{\textrm{Total number of objects}}[/tex]
Given that,
A collection of 8 geodes has mean weight of 14 ounce.
Then the total weight of 8 geodes is =(8×14) ounce
=112 ounce
A different collection of 12 geodes has a mean weight of 9 ounce.
Then the total weight of 8 geodes is =(12×9) ounce
=108 ounce
Therefore total weight of (12+8) =20 geodes is = (112+108) ounce
=220 ounce
The average mean of 20 geodes is
[tex]=\frac{220}{20}[/tex]
=11 ounce.
The mean weight of the 20 geodes is 11 ounce.
Answer: The mean weight of the 20 geodes is 11 ounce.
Mean weight means total weight divided by total number of objects.
Given that:
A collection of 8 geodes has mean weight of 14 ounce.
Then the total weight of 8 geodes is = (8×14) ounce = 112 ounce
A different collection of 12 geodes has a mean weight of 9 ounce.
Then the total weight of 8 geodes is = (12×9) ounce = 108 ounce
Therefore total weight of (12+8) =20 geodes is = (112+108) ounce =220 ounce
The average mean of 20 geodes is = [tex]\frac{220}{20}[/tex] =11 ounce.
Hence, the mean weight of the 20 geodes is 11 ounce.
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