Question
Look at this set of 7 numbers: \[ \begin{array}{lllllll}8 & 8 & 8 & 4 & 2 & 9 & 8\end{array} \] By how much would the mode decrease if the number 6 were added to the set? Submit
Ask by Horton Burgess. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The mode does not decrease when 6 is added.
Solution
Let's analyze the set of numbers and determine how the mode changes when the number 6 is added.
**Original Set:**
\[ 8, 8, 8, 4, 2, 9, 8 \]
- **Mode:** The mode is the number that appears most frequently. Here, **8** appears **four times**, which is more frequent than any other number. So, the mode is **8**.
**After Adding 6:**
\[ 8, 8, 8, 4, 2, 9, 8, 6 \]
- **Mode:** Now, let's recount the frequency:
- **8** appears **four times**
- **4, 2, 9, 6** each appear **once**
The mode remains **8** since it still appears the most frequently.
**Conclusion:**
The mode does **not** decrease when the number 6 is added to the set.
**Answer:**
0
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution The Deep Dive
In the given set of numbers \(8, 8, 8, 4, 2, 9, 8\), the mode is 8 since it occurs the most frequently (four times). If we add the number 6 to the set, the new set becomes \(8, 8, 8, 4, 2, 9, 8, 6\). The mode remains 8 because it still appears the most frequently (four times) compared to the other numbers. Therefore, the mode does not decrease at all when 6 is added to the set. The mode would decrease by \(0\).
