Questions: The Range (Statistics).
No of goals Tally Frequency
0 11 2
1 111 3
2 111 3
3 +11+1 6
4 111 3
5 1 1
6 1 1
7 1 1
The frequency table shows the numbers of goals the Lakers scored in their last twenty matches.
What was the range?
A. 4
B 5
C 6
D 7
Transcript text: The Range (Statistics).
\begin{tabular}{|c|l|c|}
\hline \begin{tabular}{c}
No \\
of \\
goals
\end{tabular} & Tally & Frequency \\
\hline 0 & 11 & 2 \\
\hline 1 & 111 & 3 \\
\hline 2 & 111 & 3 \\
\hline 3 & $+11+1$ & 6 \\
\hline 4 & 111 & 3 \\
\hline 5 & 1 & 1 \\
\hline 6 & 1 & 1 \\
\hline 7 & 1 & 1 \\
\hline
\end{tabular}
The frequency table shows the numbers of goals the Lakers scored in their last twenty matches.
What was the range?
A. 4
B 5
C 6
D 7
Usingpen and paper helps you learn
Solution
Solution Steps
To find the range in a set of data, you need to subtract the smallest value from the largest value. In this case, the smallest number of goals is 0 and the largest number of goals is 7. Therefore, the range is 7 - 0.
Step 1: Identify the Smallest and Largest Values
From the frequency table, the smallest number of goals scored is \(0\) and the largest number of goals scored is \(7\).
Step 2: Calculate the Range
The range \(R\) is calculated using the formula:
\[
R = \text{Largest Value} - \text{Smallest Value}
\]
Substituting the identified values:
\[
R = 7 - 0 = 7
\]