Following marks were obtained by 12 students in a mathematics test:
[tex]\[ 21, 20, 25, 5, 10, 15, 30, 12, 7, 16, 9, 22. \][/tex]

The range of the marks is:



Answer :

To find the range of a set of data, we need to determine the difference between the highest and lowest values in the set. Here are the steps to calculate the range of the given marks:

1. Identify the Maximum Mark:
- From the list of marks \(\{21, 20, 25, 5, 10, 15, 30, 12, 7, 16, 9, 22\}\), the highest mark is \(30\).

2. Identify the Minimum Mark:
- From the same list, the lowest mark is \(5\).

3. Calculate the Range:
- The range is found by subtracting the minimum mark from the maximum mark:
[tex]\[ \text{Range} = \text{Maximum Mark} - \text{Minimum Mark} \][/tex]
- Substituting in the given values:
[tex]\[ \text{Range} = 30 - 5 = 25 \][/tex]

Therefore, the range of the marks obtained by the students is [tex]\(25\)[/tex].