15. एउटा कागज कारखानाको कामदारहरूको दैनिक ज्याला तलको तालिकामा दिइएको छ। (The daily wage of workers of a paper factory is given in the table below.)

\begin{tabular}{|l|c|c|c|c|c|c|}
\hline
\begin{tabular}{l}
ज्याला रु. मा \\
(Wages in Rs.)
\end{tabular} & [tex]$500-600$[/tex] & [tex]$600-700$[/tex] & [tex]$700-800$[/tex] & [tex]$800-900$[/tex] & [tex]$900-1000$[/tex] & [tex]$1000-1100$[/tex] \\
\hline
\begin{tabular}{l}
कामदारहरूको संख्या \\
(Number of workers)
\end{tabular} & 3 & 5 & 6 & 2 & 3 & 1 \\
\hline
\end{tabular}

a) दिइएको तथ्याङ्कको रीत पर्ने श्रेणी कति हुन्छ? लेलुहोस्।
What is the modal class of the given data? Write it.



Answer :

To determine the modal class of the given data, we follow these steps:

1. Identify the Classes and Frequencies:
- The classes (wage ranges) given are:
- 500-600
- 600-700
- 700-800
- 800-900
- 900-1000
- 1000-1100
- The frequencies (number of workers corresponding to each class) are:
- 3 workers (500-600)
- 5 workers (600-700)
- 6 workers (700-800)
- 2 workers (800-900)
- 3 workers (900-1000)
- 1 worker (1000-1100)

2. Find the Class with the Maximum Frequency:
- We need to locate the class that has the highest number of workers.
- Looking at the frequencies, we see:
- 3, 5, 6, 2, 3, 1
- Among these, the maximum frequency is 6.

3. Determine the Modal Class:
- The modal class is the class interval corresponding to the highest frequency.
- The highest frequency 6 corresponds to the class 700-800.

Hence, the modal class of the given data is 700-800.