gonzalezgia446
Answered

Myra polled twenty-five students in her class to determine the number of movies the students attended at the theater this year. The results are in the table. She decided to find the mean of a sample using Row 1 and Row 5.

\begin{tabular}{|l|l|l|l|l|l|}
\hline \multicolumn{6}{|c|}{ Number of Movies Attended } \\
\hline Row 1 & 6 & 5 & 2 & 8 & 6 \\
\hline Row 2 & 2 & 0 & 4 & 5 & 2 \\
\hline Row 3 & 3 & 4 & 3 & 0 & 1 \\
\hline Row 4 & 5 & 2 & 6 & 3 & 3 \\
\hline Row 5 & 2 & 3 & 2 & 2 & 4 \\
\hline
\end{tabular}

What is the mean of her sample?

A. 2
B. 4
C. 6
D. 8



Answer :

GinnyAnswer
To find the mean (average) of the sample using Row 1 and Row 5, follow the given steps:

1. Collect the data from the specified rows:
- Row 1 values: 6, 5, 2, 8, 6
- Row 5 values: 2, 3, 2, 2, 4

2. Combine the data from both rows to form a single dataset:
- Combined dataset: 6, 5, 2, 8, 6, 2, 3, 2, 2, 4

3. Sum the values of the combined dataset:
- Sum: [tex]\(6 + 5 + 2 + 8 + 6 + 2 + 3 + 2 + 2 + 4 = 40\)[/tex]

4. Count the total number of data points in the combined dataset:
- Number of data points: [tex]\(5\)[/tex] (from Row 1) + [tex]\(5\)[/tex] (from Row 5) = [tex]\(10\)[/tex]

5. Calculate the mean by dividing the sum of the values by the number of data points:
- Mean: [tex]\(\frac{40}{10} = 4.0\)[/tex]

Thus, the mean number of movies attended by the sample of students from Row 1 and Row 5 is 4.0.

Other Questions