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

U2A
or
What is the range?
2103052

1 answer

It seems like you've provided a string of numbers: 2103052. I'll interpret this string as individual digits and calculate the mean, median, mode, and range based on those numbers.

Step 1: Extract the digits

From the string "2103052", the individual digits are:

  • 2, 1, 0, 3, 0, 5, 2

Step 2: Calculate Mean

Mean is the average of the numbers.

\[ \text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} = \frac{2 + 1 + 0 + 3 + 0 + 5 + 2}{7} = \frac{13}{7} \approx 1.86 \]

Step 3: Calculate Median

To find the median, we need to sort the digits:

Sorted digits: 0, 0, 1, 2, 2, 3, 5

Since there are 7 values (an odd number), the median is the middle number:

  • Median = 2

Step 4: Calculate Mode

The mode is the value that appears most frequently:

  • The digit 0 appears 2 times
  • The digit 2 also appears 2 times

Since both 0 and 2 appear the most frequently (2 times), there are two modes:

  • Modes = 0 and 2

Step 5: Calculate Range

The range is the difference between the highest and lowest values.

  • Highest value = 5
  • Lowest value = 0

\[ \text{Range} = \text{Highest} - \text{Lowest} = 5 - 0 = 5 \]

Summary of Results

  • Mean: Approximately 1.86
  • Median: 2
  • Mode: 0 and 2
  • Range: 5

If you meant something else or if "2103052" represents something different, please clarify!

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