Question

Please Help

(08.03)A group of 12 students participated in a dance competition. Their scores are below:


Score (points) 1 2 3 4 5 Number of Students 1 2 4 3 2

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


Histogram, because a large number of scores are reported as ranges


Histogram, because a small number of scores are reported individually


Dot plot, because a large number of scores are reported as ranges


Dot plot, because a small number of scores are reported individually

Answer 1

Dot plot, because a small number of scores are reported individually

Explanation:

dot plots are used for small amounts of data while histograms are used for large amounts of similar data.

In this problem, the points are very low and in their own category so they can be used in a dot plot, make one yourself and see how convent and easy it is.

Answer 2

Histograms are useful when we have data which can be divided into several classes or groups. The histogram shows the trend of each class and the trend among the different classes. For example when we have about 50 different values ranging from 1 to 20, it will be a better approach to draw a histogram in this case by dividing the data into small ranges e.g 1 to 4, 5 to 9 and so on and counting the frequency for each class.

Dot plot is useful when we have a small number of individual values. In this case we can visualize how many times each individual value occurred in the data. This is useful when the number of values in the data is less.

In the given scenario, we have 12 values in total ranging from 1 to 5. So making a dot plot would be the best choice. A histogram would not be useful in this case.

Therefore, the correct answer is option D. Dot plot, because a small number of scores are reported individually