Raj recorded the scores of six of his classmates in the table.

\begin{tabular}{|c|}
\hline Math Scores \\
\hline 98 \\
\hline 76 \\
\hline 100 \\
\hline 88 \\
\hline 82 \\
\hline 70 \\
\hline
\end{tabular}

What is the range of their test scores?

A. 28
B. 30
C. 85
D. 86



Answer :

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.