Question

ok so i know the answer is 96 but it won’t give me a mark because i haven’t wrote it properly?? someone tell me how i should write it out

Answer 1

The number of apples in the 12th bag is 9

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:

`\displaystyle \bar x=\frac{\sum{x_i}}{n}`

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:

`\displaystyle 8=\frac{\sum{x_i}}{12}`

Multiply by 12

`\sum{x_i}=96`

This means the sum of all the values is 96. If we add the existing values from the table, considering their frequency, we have:

`6*1+7*4+8*2+9*3+10*1=87`

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