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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

[tex]\[
\begin{array}{|c|c|}
\hline
\text{Name} & \text{Score} \\
\hline
\text{Julia} & 650 \\
\hline
\text{Andrew} & 550 \\
\hline
\text{Jason} & 380 \\
\hline
\text{Cathy} & 720 \\
\hline
\text{Jessica} & 710 \\
\hline
\text{Robert} & 550 \\
\hline
\end{array}
\][/tex]

The table gives the scores of 6 students from a class of 25 in a competitive exam. The point estimate of the mean score for the students is _______ . (Round off your answer to the nearest tenth.)



Answer :

GinnyAnswer
To find the point estimate of the mean score for the students, follow these steps:

1. List the scores provided:
- Julia: 650
- Andrew: 550
- Jason: 380
- Cathy: 720
- Jessica: 710
- Robert: 550

2. Compute the total sum of these scores:
[tex]\(650 + 550 + 380 + 720 + 710 + 550 = 3560\)[/tex]

3. Determine the number of students:
There are 6 students.

4. Calculate the mean score (the point estimate of the mean score):
[tex]\[ \text{Mean score} = \frac{\text{Sum of all scores}}{\text{Number of students}} = \frac{3560}{6} \approx 593.3333 \][/tex]

5. Round off the mean score to the nearest tenth:
[tex]\[ 593.3333 \approx 593.3 \][/tex]

Therefore, the point estimate of the mean score for the students is [tex]\( 593.3 \)[/tex].

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