Certainly! Let's break the data into the tally chart and complete the frequency column given the number of teas served each day in the café.
Here is the data for reference:
| 140 | 102 | 80 | 139 | 36 | 98 |
|-----|-----|----|-----|----|----|
| 112 | 73 | 116 | 90 | 40 | 88 |
We will classify these values into three ranges:
1. 1-50
2. 51-100
3. 101-150
We need to count how many values fall into each range.
### Step-by-Step Solution:
1. Counting the teas in the range 1-50:
- 36
- 40
Thus, there are 2 teas in the range of 1-50.
2. Counting the teas in the range 51-100:
- 80
- 98
- 73
- 90
- 88
Thus, there are 5 teas in the range of 51-100.
3. Counting the teas in the range 101-150:
- 140
- 102
- 139
- 112
- 116
Thus, there are 5 teas in the range of 101-150.
Now, we fill in the frequency column in the tally chart accordingly:
[tex]\[
\begin{array}{|c|c|c|}
\hline \text{No. of Teas} & \text{Tally} & \text{Frequency} \\
\hline 1-50 & \text{II} & 2 \\
\hline 51-100 & \text{IIIII} & 5 \\
\hline 101-150 & \text{IIIII} & 5 \\
\hline
\end{array}
\][/tex]
So the completed tally chart would be:
[tex]\[
\begin{array}{|c|c|c|}
\hline \text{No. of Teas (Range)} & \text{Tally} & \text{Frequency} \\
\hline 1-50 & II & 2 \\
\hline 51-100 & IIIII & 5 \\
\hline 101-150 & IIIII & 5 \\
\hline
\end{array}
\][/tex]
