Question

explain what the correlation coefficient suggests in the context of this problem. 12. student scores on a recent test are shown in the table below. on the number line below, create a dot plot to model the data. state the median test score for the data set.

Explanation:

Step1: Arrange data in ascending order

82, 82, 85, 85, 85, 85, 87, 87, 88, 88, 90, 90, 90, 92, 92, 92, 95, 96, 96, 96

Step2: Determine the number of data - points

There are \(n = 20\) data - points.

Step3: Calculate the median position

For a set of \(n\) data - points (where \(n\) is even), the median is the average of the values at positions \(\frac{n}{2}\) and \(\frac{n}{2}+1\). Here, \(\frac{n}{2}=10\) and \(\frac{n}{2}+1 = 11\).

Step4: Find the median

The 10th value is 88 and the 11th value is 90. The median is \(\frac{88 + 90}{2}=89\).

Answer:

The median test score is 89. To create a dot - plot:

• Place a dot above 82 for 2 times.
• Place a dot above 85 for 4 times.
• Place a dot above 87 for 2 times.
• Place a dot above 88 for 2 times.
• Place a dot above 90 for 3 times.
• Place a dot above 92 for 3 times.
• Place a dot above 95 for 1 time.
• Place a dot above 96 for 3 times.