In the food processing industry, quality control is essential to ensure that sugar packets are packed with the standard weight of \(1\) kilogram (\(1000\) g)).But, due to minor variations during the packaging process, the actual weights of the sugar packets may vary slightly from the intended weight.
The following table indicates the frequency distribution of the weights (in grams) of \(50\) randomly selected sugar packets:
The following table indicates the frequency distribution of the weights (in grams) of \(50\) randomly selected sugar packets:
| Weight Range in \(g\) | \(950 - 970\) | \(970 - 990\) | \(990 - 1010\) | \(1010 - 1030\) | \(1030 - 1050\) |
| Number of Packets | \(4\) | \(6\) | \(20\) | \(12\) | \(8\) |
1. Which weight category contains the largest number of packets?
2. If there are \(50\) packets in total, what percentage of packets are below \(1010\) \(g\)?
3. What is the ratio of the number of packets in the weight category \(1010 - 1030\) \(g\) to the total number of packets?
4. Compare the number of packets in the intervals \(970 – 990\) \(g\) and \(1030 – 1050\) \(g\). Which one is greater and by how many packets?