Questions: The numbers of regular season wins for 10 football teams in a given sea
2,6,15,2,12,9,12,10,2,8
The range is
(Simplify your answer.)
Transcript text: The numbers of regular season wins for 10 football teams in a given sea
\[
2,6,15,2,12,9,12,10,2,8
\]
The range is $\square$
(Simplify your answer.)
Solution
Solution Steps
To find the range of a set of numbers, we need to identify the maximum and minimum values in the set and then subtract the minimum value from the maximum value. This will give us the range, which represents the spread of the data.
Step 1: Identify the Data
The numbers of regular season wins for the 10 football teams are given as:
\[
2, 6, 15, 2, 12, 9, 12, 10, 2, 8
\]
Step 2: Determine the Maximum and Minimum Values
From the data, we find:
Maximum value \( \max = 15 \)
Minimum value \( \min = 2 \)
Step 3: Calculate the Range
The range \( R \) is calculated using the formula:
\[
R = \max - \min
\]
Substituting the values:
\[
R = 15 - 2 = 13
\]
Final Answer
The range of the regular season wins is \\(\boxed{13}\\).