Answer :

Final answer:

Thus The mean, median, and mode for the given data set are calculated as approximately 95.11, 97, and 94 respectively; where the mean is the average, the median is the middle value after arranging data in order, and the mode is the most frequently occurring value.

Explanation:

Finding the Mean, Median, and Mode

When calculating the mean, median, and mode of the set of data values 94, 102, 52, 97, 89, 130, 104, 94, 108, we need to follow these steps:

  1. To find the mean, add all the numbers together and divide by the total number of values.
  2. To find the median, organize the data in ascending order and identify the middle value. If there's an even number of values, the median is the average of the two middle numbers.
  3. To find the mode, identify the number that appears most frequently. If no number repeats, the set does not have a mode.

For the data provided:

  1. The mean is (94 + 102 + 52 + 97 + 89 + 130 + 104 + 94 + 108) / 9 = 856 / 9 ≈ 95.11.
  2. After organizing the data (52, 89, 94, 94, 97, 102, 104, 108, 130), the median is 97, which is the middle value.
  3. The mode is 94 because it is the only value that appears more than once.

Thus, the mean, median, and mode are approximately 95.11, 97, and 94, respectively.

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