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Solve for [tex]\( x \)[/tex].
[tex]\[ 3x = 6x - 2 \][/tex]

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What are the median and the range of the scores in this chart?

\begin{tabular}{|c|}
\hline
\textbf{Janisa's Scores} \\
\hline
10 \\
\hline
10 \\
\hline
8 \\
\hline
8 \\
\hline
3 \\
\hline
\end{tabular}

A. The median is 4, and the range is 5.
B. The median is 7, and the range is 8.
C. The median is 8, and the range is 7.



Answer :

Let's go through the solution step by step to find both the median and the range for Janisa's scores.

First, let's list out Janisa's scores as provided:
- 10
- 10
- 8
- 8
- 3

To find the median, we follow these steps:
1. Order the scores: We'll arrange the scores in ascending order:
[tex]\[ 3, 8, 8, 10, 10 \][/tex]
2. Determine the middle score: Since there are 5 scores (an odd number), the median is the middle score.
- The third score in the ordered list is 8.

Therefore, the median score is 8.

Next, let's find the range of the scores:
1. Identify the highest score: 10
2. Identify the lowest score: 3
3. Calculate the range: Subtract the lowest score from the highest score:
[tex]\[ 10 - 3 = 7 \][/tex]

Therefore, the range of the scores is 7.

Thus, the correct results for the median and the range of Janisa's scores are as follows:
- The median is 8.
- The range is 7.

So the correct option is:
- The median is 8, and the range is 7.

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