Answer:
The number of apples in the 12th bag is 9
Step-by-step explanation:
The Mean Value of a Data Set
The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:
[tex]\displaystyle \bar x=\frac{\sum{x_i}}{n}[/tex]
Where xi is the value of each data and n is the total number of values.
We are given the value of n=12 and the mean number of apples in each bag (8), thus:
[tex]\displaystyle 8=\frac{\sum{x_i}}{12}[/tex]
Multiply by 12
[tex]\sum{x_i}=96[/tex]
This means the sum of all the values is 96. If we add the existing values from the table, considering their frequency, we have:
[tex]6*1+7*4+8*2+9*3+10*1=87[/tex]
Note the sum should be 96, so the 12th bag must have 96-87=9 apples
The number of apples in the 12th bag is 9