What is the range of this distribution of 10 scores (12, 48, 2, 77, 33, 53, 12, 26, 36, 61)? 34.5 23.94 12 75

Break Down the Problem

1. Identify the minimum and maximum values in the distribution of scores.
2. Calculate the range by subtracting the minimum value from the maximum value.

Relevant Concepts

• The range of a distribution is calculated using the formula: $\text{Range} = \text{Maximum} - \text{Minimum}$

Analysis and Detail

1. Identify the maximum and minimum:

   • Given scores: 12, 48, 2, 77, 33, 53, 12, 26, 36, 61
   • Minimum score: 2
   • Maximum score: 77

2. Calculate the range: $\text{Range} = 77 - 2$

Verify and Summarize

• The calculation yields: $\text{Range} = 75$
• The minimum score is 2 and the maximum score is 77, confirming our findings.

Final Answer

The range of the distribution is $75$.