Question

A collection of 8 geodes has a mean weight of 14 ounces. A different collection of 12 geodes has a mean weight of 9 ounces. What is the mean weight of the 20 geodes? The mean weight is ounces.

Answer 1

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.

$\textrm{Mean weight}=\frac{\textrm{Total weight}}{\textrm{Total number of objects}}$

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

$=\frac{220}{20}$

=11 ounce.

The mean weight of the 20 geodes is 11 ounce.