Question

3) 5, 10, 15, 20 are items of data. Explain how these could become information and what knowledge

could be gained from them.​

Answer 1

Data can be converted into information by analyzing and interpreting the relationships or patterns within the data. The numbers 5, 10, 15, and 20 form an arithmetic sequence with a common difference of 5. This information can be used to make predictions, calculate averages, and solve problems involving arithmetic sequences.

Step-by-step explanation:

In mathematics, data refers to a collection of numbers or information. In this case, the numbers 5, 10, 15, and 20 are items of data. To convert these data points into information, we can analyze and interpret their relationships or patterns. For example, we can notice that each number is a multiple of 5 and they are all increasing by 5. From this, we can gain the knowledge that the numbers form an arithmetic sequence with a common difference of 5.

This information can be further used to make predictions or generalizations. For instance, if the pattern continues, we can predict that the next number in the sequence would be 25. Additionally, the knowledge gained from the data can be used in various mathematical applications, such as calculating averages, determining trends, or solving problems involving arithmetic sequences.

Answer 2

For example when there is research on how many people shoplift in a shopping centre per week. These numbers could show a increase in the number of shoplifters per week.