75.0k views
1 vote
The mean of a set of six numbers is 2 and the mean of another set of ten numbers is m. If the mean of the combined set of sixteen numbers is 7, find the value of m.

1 Answer

2 votes

Final answer:

m= 10. To find the value of m, we can set up an equation based on the given means and solve for m.

Step-by-step explanation:

We can use the mean formula to determine the value of m:

(Total amount of numbers) / (amount of numbers) = Mean

The total of all six digits is 6*2 = 12, since the mean of the first set of six numbers is 2.

In the same way, 10*m is the total of the second set of ten numbers.

The total of all sixteen numbers is 16*7 = 112, since the mean of the sixteen digits added together is 7.

We can now construct an equation to find m: 12 + 10 m equals 112.

Make the equation simpler: 10m = 100.

Compute m: m = 10.

User WonderCsabo
by
7.9k points