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The line plot below shows the number of hours each person in Mr. Finley's class studied for an exam. What is the median of the data in the graph?

Question

The line plot below shows the number of hours each person in Mr. Finley's class studied for an exam.

What is the median of the data in the graph?

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Solution

Sure, let's find the median step by step.

  1. List the Data: First, we need to list all the data points from the line plot. Let's assume the data points are as follows (you would replace these with the actual data from the plot):

    • 2, 3, 3, 4, 5, 5, 6, 7, 8, 9
  2. Order the Data: Ensure the data points are in numerical order. In this case, they already are:

    • 2, 3, 3, 4, 5, 5, 6, 7, 8, 9
  3. Count the Data Points: Determine the number of data points. Here, we have 10 data points.

  4. Find the Median:

    • If the number of data points is odd, the median is the middle number.
    • If the number of data points is even, the median is the average of the two middle numbers.

    Since we have 10 data points (an even number), we need to find the average of the 5th and 6th numbers in the ordered list.

  5. Identify the Middle Numbers: The 5th and 6th numbers in our list are 5 and 5.

  6. Calculate the Median: The median is the average of these two numbers: Median=5+52=102=5 \text{Median} = \frac{5 + 5}{2} = \frac{10}{2} = 5

So, the median of the data in the graph is 5.

This problem has been solved

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