Finding the Mode and Range

\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Number of Schools in Each County } \\
\hline & Number of Schools \\
\hline County A & 8 \\
\hline County B & 4 \\
\hline County C & 2 \\
\hline County D & 5 \\
\hline County E & 4 \\
\hline County F & 4 \\
\hline County G & 11 \\
\hline
\end{tabular}

The mode is the number of schools that appears most frequently in the data set. The mode in this set of data is [tex]$\square$[/tex].

To determine the range, subtract the number of schools in the county with the fewest schools from the number of schools in County G. The range in this set of data is [tex]$\square$[/tex].



Answer :

Certainly, let's fill in the blanks step-by-step:

### Finding the Mode
1. List the number of schools in each county:
- County A: 8
- County B: 4
- County C: 2
- County D: 5
- County E: 4
- County F: 4
- County G: 11

2. Count how many times each number appears:
- 8 appears 1 time
- 4 appears 3 times
- 2 appears 1 time
- 5 appears 1 time
- 11 appears 1 time

3. Identify the number that appears the most frequently:
- The number 4 appears the most frequently, 3 times.

The mode is the number that appears the most frequently in the data set.

So, the mode in this set of data is 4.

### Finding the Range
1. Identify the smallest and largest numbers of schools in the list:
- Smallest number: 2 (County C)
- Largest number: 11 (County G)

2. Subtract the smallest number of schools from the largest number of schools:
- Range = 11 (County G) - 2 (County C) = 9

So, the range in this set of data is 9.

### Final Answer:
- The mode in this set of data is 4.
- The range in this set of data is 9.