Questions: Use the display of data to find the mean, median, mode, and midrange. The mean of the data is 12.4. (Round to the nearest tenth as needed.) The median of the data is (Round to the nearest tenth as needed.)

Use the display of data to find the mean, median, mode, and midrange. The mean of the data is 12.4. (Round to the nearest tenth as needed.) The median of the data is (Round to the nearest tenth as needed.)
Transcript text: Use the display of data to find the mean, median, mode, and midrange. The mean of the data is 12.4 . (Round to the nearest tenth as needed.) The median of the data is $\square$ (Round to the nearest tenth as needed.)
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Solution

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Solution Steps

Step 1: Find the total number of data points

Add the frequencies for each score: 0 + 2 + 3 + 4 + 5 + 3 + 1 = 18 data points

Step 2: Locate the position of the median

Since there are 18 data points, the median is the average of the 9th and 10th values.

Step 3: Identify the 9th and 10th values

From the graph:

  • Score 10 has a frequency of 2 (1st and 2nd values).
  • Score 11 has a frequency of 3 (3rd, 4th and 5th values).
  • Score 12 has a frequency of 4 (6th, 7th, 8th and 9th values).
  • Score 13 has a frequency of 5 (10th, 11th, 12th, 13th, and 14th values). The 9th value is 12 and the 10th value is 13.

Final Answer

The median is (12+13)/2 = 12.5.

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