Question

1. the mean weight of six schoolbags is 9 pounds. the weights of five schoolbags are 8 pounds, 10 pounds, 8.6 pounds, 8.8 pounds and 9.5 pounds. find the weight of the last schoolbag. weight of the last schoolbag = show your work

Explanation:

Step1: Calculate the total weight of six schoolbags

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Given $n = 6$ and $\bar{x}=9$, then the total weight $\sum_{i=1}^{6}x_{i}=n\times\bar{x}=6\times9 = 54$ pounds.

Step2: Calculate the sum of the weights of five schoolbags

Sum of five - schoolbag weights: $8 + 10+8.6 + 8.8+9.5=(8 + 10)+(8.6 + 8.8)+9.5=18+17.4 + 9.5=44.9$ pounds.

Step3: Find the weight of the last schoolbag

Let the weight of the last schoolbag be $x$. Then $x=\sum_{i = 1}^{6}x_{i}-\sum_{i = 1}^{5}x_{i}$. Substitute the values: $x = 54-44.9=9.1$ pounds.

Answer:

$9.1$