Answered

4. A group of 22 students participated in a race. Their scores are below:

\begin{tabular}{|l|l|l|l|l|l|}
\hline
Score (points) & [tex]$4-5$[/tex] & [tex]$6-7$[/tex] & [tex]$8-9$[/tex] & [tex]$10-11$[/tex] & [tex]$12-13$[/tex] \\
\hline
Number of Students & 3 & 5 & 8 & 4 & 2 \\
\hline
\end{tabular}

Would a dot plot or a histogram best represent the data presented here? Why?

A. Dot plot, because a large number of scores are reported as ranges
B. Dot plot, because a small number of scores are reported individually
C. Histogram, because a large number of scores are reported as ranges
D. Histogram, because a small number of scores are reported individually



Answer :

GinnyAnswer
A histogram would best represent the data because a large number of scores are reported as ranges.

Given the scores of the students and the distribution counts in ranges (4-5, 6-7, 8-9, 10-11, 12-13), a histogram is a suitable choice. In a histogram, we can effectively visualize the frequency distribution of the data across these score ranges. Each bar in the histogram would cover one of these score intervals and the height of the bar would represent the number of students who achieved scores in that specific range. This provides a clear visual representation of data distributed in intervals, demonstrating the concentration of scores within each range and making it easy to compare the number of students across different score ranges.

Therefore, the answer is:
Histogram, because a large number of scores are reported as ranges.