Questions: Find the mode of the following number of times each machine in a shoe factory needed to be fixed within the last year.
12, 10, 3, 10, 10, 8, 12, 4, 4, 4, 4
Provide your answer below:
mode = repairs
Transcript text: Due Saturday by 11:59pm
Points
10
Submitting an external tool
Question
Find the mode of the following number of times each machine in a shoe factory needed to be fixed within the last year.
\[
12,10,3,10,10,8,12,4,4,4,4
\]
Provide your answer below:
mode $=$ $\square$ repairs
FEEDBACK
MORE INSTRUCTION
SUBMIT
Content attribution
Solution
Solution Steps
To find the mode of a list of numbers, we need to identify the number that appears most frequently in the list.
Step 1: List the number of times each machine needed to be fixed
Given the list of the number of times each machine in a shoe factory needed to be fixed within the last year:
\[
12, 10, 3, 10, 10, 8, 12, 4, 4, 4, 4
\]
Step 2: Count the frequency of each number
We count the frequency of each number in the list:
\[
\begin{align_}
12 & : 2 \\
10 & : 3 \\
3 & : 1 \\
8 & : 1 \\
4 & : 4 \\
\end{align_}
\]
Step 3: Identify the mode
The mode is the number that appears most frequently. From the frequency count, we see that the number \(4\) appears \(4\) times, which is the highest frequency.