Every year, the students at a school are given a musical aptitude test that rates them from $0$ (no musical aptitude) to $5$ (high musical aptitude). This year's results were: $\newline$ \begin{tabular}{|c|l|l|l|l|l|l|} $\newline$ \hline Aptitude Score & $0$ & $1$ & $2$ & $3$ & $4$ & $5$ \\ $\newline$ \hline Frequency & $5$ & $1$ & $4$ & $3$ & $1$ & $1$ \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ The average (mean) aptitude score: $\newline$ Enter an integer or dacimal number [more..]. $\newline$ The median aptitude score:

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Q. Every year, the students at a school are given a musical aptitude test that rates them from

0

(no musical aptitude) to

5

(high musical aptitude). This year's results were:

\newline

\begin{tabular}{|c|l|l|l|l|l|l|}

\newline

\hline Aptitude Score &

0

1

2

3

4

5

\newline

\hline Frequency &

5

1

4

3

1

1

\newline

\hline

\newline

\end{tabular}

\newline

The average (mean) aptitude score:

\newline

Enter an integer or dacimal number [more..].

\newline

The median aptitude score:

Calculate Sum of Products: To find the average (mean) aptitude score, we need to multiply each aptitude score by its frequency, sum these products, and then divide by the total number of students.
Calculate Total Students: First, calculate the sum of the products of the aptitude scores and their frequencies: $\newline$ $(0 \times 5) + (1 \times 1) + (2 \times 4) + (3 \times 3) + (4 \times 1) + (5 \times 1) = 0 + 1 + 8 + 9 + 4 + 5 = 27$
Find Average: Next, calculate the total number of students by summing the frequencies: $5 + 1 + 4 + 3 + 1 + 1 = 15$
List Scores in Order: Now, divide the sum of the products by the total number of students to find the average: $\newline$ Average (mean) = $\frac{27}{15} = 1.8$
Identify Median: To find the median aptitude score, we need to list all the scores in ascending order and find the middle value. Since there are $15$ scores, the median will be the $8$ th score when listed in order.
Identify Median: To find the median aptitude score, we need to list all the scores in ascending order and find the middle value. Since there are $15$ scores, the median will be the $8$ th score when listed in order.List out the scores based on their frequencies: $\newline$ $0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5$
Identify Median: To find the median aptitude score, we need to list all the scores in ascending order and find the middle value. Since there are $15$ scores, the median will be the $8$ th score when listed in order.List out the scores based on their frequencies: $\newline$ $0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5$ Identify the $8$ th score in the list, which is the median: $\newline$ The $8$ th score is $2$ .