Questions: The scores of 50 students are given below. 78, 54, 79, 69, 59, 83, 77, 78, 74, epsilon, 62, 74, 79, 81, 58, 78, 75, 59, 76, 5, 55, 80, 66, 52, 83, 64, 71, 64, 54, epsilon, 83, 80, 64, 59, 74, 80, 78, 78, 57, epsilon, 50, 54, 68, 61, 73, 78, 82, 72, 54, 7. (a) Construct a frequency distribution for the data. Use 50-54 for the first class and use 5 for the class width for each subsequent class. Class Frequency 50-54 2 square . square . square square . square square square . square square square square square square (b) Which of the following is the correct histogram for this data?

The scores of 50 students are given below. 78, 54, 79, 69, 59, 83, 77, 78, 74, epsilon, 62, 74, 79, 81, 58, 78, 75, 59, 76, 5, 55, 80, 66, 52, 83, 64, 71, 64, 54, epsilon, 83, 80, 64, 59, 74, 80, 78, 78, 57, epsilon, 50, 54, 68, 61, 73, 78, 82, 72, 54, 7.

(a) Construct a frequency distribution for the data. Use 50-54 for the first class and use 5 for the class width for each subsequent class. Class Frequency 50-54 2 square . square . square square . square square square . square square square square square square

(b) Which of the following is the correct histogram for this data?

Transcript text: The scores of 50 students are given below. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline 78 & 54 & 79 & 69 & 59 & 83 & 77 & 78 & 74 & $\epsilon$ \\ \hline 62 & 74 & 79 & 81 & 58 & 78 & 75 & 59 & 76 & 5 \\ \hline 55 & 80 & 66 & 52 & 83 & 64 & 71 & 64 & 54 & $\epsilon$ \\ \hline 83 & 80 & 64 & 59 & 74 & 80 & 78 & 78 & 57 & $\varepsilon$ \\ \hline 50 & 54 & 68 & 61 & 73 & 78 & 82 & 72 & 54 & 7 \\ \hline \end{tabular} (a) Construct a frequency distribution for the data. Use 50-54 for the first class and use 5 for the class width for each subsequent class. \begin{tabular}{|l|l|} \hline Class & Frequency \\ \hline $50-54$ & 2 \\ \hline$\square \cdot \square \cdot \square$ \\ \hline$\square \cdot \square$ & $\square$ \\ \hline$\square \cdot \square$ \\ \hline$\square$ & $\square$ \\ \hline$\square$ & $\square$ \\ \hline$\square$ \\ \hline \end{tabular} (b) Which of the following is the correct histogram for this data?

Solution

Solution Steps

Step 1: Create the frequency distribution table.

The problem states that the first class is 50-54, and the class width is 5. This means the classes will be 50-54, 55-59, 60-64, 65-69, 70-74, 75-79, 80-84. Count how many data points fall into each class.

| Class | Frequency | |---|---| | 50-54 | 2 | | 55-59 | 5 | | 60-64 | 6 | | 65-69 | 4 | | 70-74 | 5 | | 75-79 | 10 | | 80-84 | 8 |

Step 2: Analyze the Histograms

The correct histogram must reflect the frequency distribution table calculated in the previous step. Compare the heights of the bars to the frequencies in the table.

Step 3: Select the correct Histogram.

The first histogram matches the frequency distribution.