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

U2A
What is the mean?
7382010

1 answer

To calculate the mean, median, mode, and range for the dataset provided (7382010), we first need to clarify the data you provided. If the numbers are separate, it looks like they are "7, 3, 8, 2, 0, 1, 0".

Let's calculate each measure step by step.

Given dataset:

  • Data points: 7, 3, 8, 2, 0, 1, 0

1. Mean

The mean is calculated by summing all the numbers and then dividing by the count of numbers.

\[ \text{Mean} = \frac{\text{Sum of data points}}{\text{Number of data points}} = \frac{7 + 3 + 8 + 2 + 0 + 1 + 0}{7} = \frac{21}{7} = 3 \]

2. Median

To find the median, we need to sort the data in ascending order:

Sorted data: 0, 0, 1, 2, 3, 7, 8

Since there are 7 numbers (an odd count), the median is the middle number (4th number):

\[ \text{Median} = 2 \]

3. Mode

The mode is the number that appears most frequently.

In this dataset:

  • 0 appears 2 times
  • 1 appears 1 time
  • 2 appears 1 time
  • 3 appears 1 time
  • 7 appears 1 time
  • 8 appears 1 time

Thus, the mode is:

\[ \text{Mode} = 0 \]

4. Range

The range is calculated by subtracting the minimum value from the maximum value:

\[ \text{Range} = \text{Maximum} - \text{Minimum} = 8 - 0 = 8 \]

Summary

  • Mean = 3
  • Median = 2
  • Mode = 0
  • Range = 8

If you meant to provide the numbers in a different format or if you want more calculations with different values, please clarify!