Answer:
y = 4
Explanation:
Defining the mean:
- The mean is the average of a set of values.
- We calculate it by dividing the sum of the values by the total number of values.
Mean of 13, 17, and y:
Since there are 3 values, the mean of the values is given by:
Mean 1 = (13 + 17 + y) / 3
Mean of 8, 14, and 3y:
Since there are 3 values, the mean of the values is given by:
Mean 2 = (8 + 14 + 3y) / 3
Now we can set the two means equal to each other and solve for y using the following steps:
Step 1: Combine like terms:
(30 + y) / 3 = (22 + 3y) / 3
Step 2: Multiply both sides by 3:
((30 + y) / 3 = (22 + 3y) / 3) * 3
30 + y = 22 + 3y
Step 3: Subtract 22 from both sides:
(30 + y = 22 + 3y) - 22
8 + y = 3y
Step 4: Subtract y from both sides:
(8 + y = 3y) - y
8 = 2y
Step 5: Divide both sides by 2 to solve for y:
(8 = 2y) / 2
4 = y
Thus, y = 4.