HH.1 Calculate mean, median, mode, and range

U2A

1 answer

To calculate the mean, median, mode, and range, you typically need a set of data. Since you haven't provided any specific numbers, I'll explain how to calculate each of these statistical measures using an example dataset.

Example Dataset:
Let's consider the following numbers: 5, 7, 3, 9, 5, 8, 3.

  1. Mean: The average of all numbers. \[ \text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} = \frac{5 + 7 + 3 + 9 + 5 + 8 + 3}{7} = \frac{40}{7} \approx 5.71 \]

  2. Median: The middle number when the numbers are arranged in order.

    • First, organize the data: 3, 3, 5, 5, 7, 8, 9.
    • Since there are 7 values (an odd number), the median is the middle value, which is the 4th number: \[ \text{Median} = 5 \]
  3. Mode: The number that appears most frequently in the dataset.

    • In this case, both 3 and 5 appear twice, while all other numbers appear once. Thus: \[ \text{Mode} = 3 \text{ and } 5 \text{ (bimodal)} \]
  4. Range: The difference between the highest and lowest values. \[ \text{Range} = \text{Maximum} - \text{Minimum} = 9 - 3 = 6 \]

Summary:

  • Mean: 5.71 (approximately)
  • Median: 5
  • Mode: 3 and 5 (bimodal)
  • Range: 6

If you provide a different set of data, I can help with those specific calculations!