Questions: The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. 613, 491, 358, 345, 626, 350, 347, 546, 470, 482. A. 453.7 B. 472.2 C. 476.0 D. 462.8

The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. 613, 491, 358, 345, 626, 350, 347, 546, 470, 482. A. 453.7 B. 472.2 C. 476.0 D. 462.8
Transcript text: The students in Hugh Logan's math class took the Scholastic Aptitude Test. Their math scores are shown below. Find the mean score. \begin{tabular}{llllll} 613 & 491 & 358 & 345 & 626 \\ 350 & 347 & 546 & 470 & 482 \end{tabular} A. 453.7 B. 472.2 C. 476.0 D. 462.8
failed

Solution

failed
failed

Solution Steps

Step 1: Calculate the Sum of Scores

To find the mean score, we first calculate the sum of all the math scores:

\[ \sum_{i=1}^{N} x_i = 613 + 491 + 358 + 345 + 626 + 350 + 347 + 546 + 470 + 482 = 4628 \]

Step 2: Count the Number of Scores

Next, we determine the total number of scores, \( N \):

\[ N = 10 \]

Step 3: Calculate the Mean Score

The mean score \( \mu \) is calculated using the formula:

\[ \mu = \frac{\sum_{i=1}^{N} x_i}{N} = \frac{4628}{10} = 462.8 \]

Final Answer

The calculated mean score is \\(\boxed{462.8}\\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful