To fill in the missing height classes for the given table of students' heights in Grade 10, we need to determine a consistent pattern in the height intervals.
Initially, we get the provided interval:
- The first height class is from 150.5 cm to under 155.5 cm with a frequency of 20.
Next, we recognize that the interval width (class width) can be identified from the given class:
- The interval from 150.5 cm to 155.5 cm spans a width of 5 cm.
Now, we apply this interval width to determine the rest of the height classes:
1. The first class is from 150.5 cm to under 155.5 cm.
2. Adding the class width (5 cm) to the upper boundary of the first class (155.5 cm) gives us the next class:
- The second class starts from 155.5 cm and goes to under 160.5 cm, with a frequency of 19.
3. Similarly, adding another class width to the previous upper boundary (160.5 cm):
- The third class starts from 160.5 cm and goes to under 165.5 cm, with a frequency of 17.
4. Adding another class width to the previous upper boundary (165.5 cm):
- The fourth class starts from 165.5 cm and goes to under 170.5 cm, with a frequency of 2.
Therefore, the complete table with all height classes filled in is:
\begin{tabular}{|c|c|}
\hline
Heights [tex]$(cm)$[/tex] & Frequency \\
\hline
150.5 - under 155.5 & 20 \\
155.5 - under 160.5 & 19 \\
160.5 - under 165.5 & 17 \\
165.5 - under 170.5 & 2 \\
\hline
\end{tabular}
