Agroup of 11 students participated in a quiz competition. their scores are shown below: scores 7 8 3 6 3 14 4 3 2 3 5 part a: would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. explain your answer. (4 points) part b: provide a step-by-step description of how you would create the graph named in part a. (6 points)

Part A.

The Scores of the students are: 7 8 3 6 3 14 4 3 2 3 5

For finding the quartiles, box plot would be the best to represent the range of scores of the students.

Part B.

Our first step is to order the data: 2 3 3 3 3 4 5 6 7 8 14

Next, we will find the median. This set has 11 values, so the 6th value is the median and the median is 4.

So, second quartile(Q₂) = 4

The median splits the remaining data into two sets. The first set is 2 3 3 3 3 and the median of this set is 3

So, first quartile(Q₁) = 3

The second set is 5 6 7 8 14 and the median of this set is 7

Thus, third quartile (Q₃) = 7

The data set has to be represented as a box plot, because we want to represents quartiles, and a box plot is made of quartiles.

The given data set is: 7, 8, 3, 6, 3, 14, 4, 3, 2, 3, 5.

To draw a box plot we need to find the first quartile, the median, the third quartile, the maximum value and the minimum value.

According to the problem, the minimum value is 2.

The maximum vale is 14.

Then, we order the data set: 2, 3, 3, 3, 3, 4, 5, 6, 7, 8, 14.

The middle value is the median.

The median of the data at the left of the median is the first quartile:

2, 3, 3, 3, 3.

The median of the number a the right of the median is the third quartile:

5, 6, 7, 8, 14

Therefore,

With these results, we can draw the box plot.

In the image attached you can observe all these values, which create the box plot.

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step-by-step explanation:

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