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30. a. represent jasons first nine test scores are shown below. find th…

Question

  1. a. represent jasons first nine test scores are shown below. find the median and mode of the scores. 85, 80, 90, 75, 85, 100, 90, 80, 90 b. sketch a graph of jasons scores. the heights of the bars should indicate the scores. title the graph and label the two axes.

Explanation:

Step1: Sort the data

Sort the scores in ascending order: \(75,80,80,85,85,90,90,90,100\)

Step2: Find the median

The median is the middle value. Since there are \(n = 9\) values, the median is the \(\frac{n + 1}{2}=\frac{9+1}{2}=5^{th}\) value.
So the median is \(85\)

Step3: Find the mode

The mode is the value that appears most frequently. The score \(90\) appears \(3\) times, which is more than any other score.

Answer:

Median: \(85\), Mode: \(90\)