Sure! Let's start by understanding what the range of a set of numbers is. The range of a data set is the difference between the highest and lowest values.
In this case, Raj recorded the math scores of his classmates, and the scores are as follows:
- 98
- 76
- 100
- 88
- 82
- 70
Step-by-step solution to find the range:
1. Identify the highest value in the data set:
- The highest score is 100.
2. Identify the lowest value in the data set:
- The lowest score is 70.
3. Calculate the range by subtracting the lowest value from the highest value:
[tex]\[
\text{Range} = \text{Highest Value} - \text{Lowest Value}
\][/tex]
[tex]\[
\text{Range} = 100 - 70 = 30
\][/tex]
Therefore, the range of their test scores is 30.
From the given options:
- 28
- 30
- 85
- 86
The correct answer is 30.
