The mean of a dataset if the average of the dataset.
The new mean mass of the remaining boxes is 44 kg
From the question, we have:
[tex]\mathbf{\bar x = 45}[/tex] --- mean of 6 boxes
The mean of a dataset is:
[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]
So, we have:
[tex]\mathbf{45 = \frac{\sum x}{6}}[/tex]
Multiply by 6
[tex]\mathbf{45 \times 6= \sum x}[/tex]
[tex]\mathbf{\sum x = 270}[/tex]
One of the boxes is 50 kg.
So, the mass of the remaining boxes is:
[tex]\mathbf{Mass = 270 - 50}[/tex]
[tex]\mathbf{Mass = 220}[/tex]
The mean of the remaining boxes is:
[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]
[tex]\mathbf{\bar x = \frac{220}{5}}[/tex]
[tex]\mathbf{\bar x = 44}[/tex]
Hence, the new mean mass of the remaining boxes is 44 kg
Read more about mean at:
https://brainly.com/question/2018505
