Draw a histogram for the frequency distribution table given in Example 13 and statement of Example 13 is given by
The weekly wages (in Rs.) of 30 workers in a factory are 830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840. Using tally marks, make a frequency distribution table with class intervals 800 – 810, 810 – 820 and so on
Answer the following questions.
How many workers earn less than Rs. 850?

Answer

To solve the problem, we will first create a frequency distribution table based on the weekly wages of the 30 workers. Then, we will draw a histogram and answer the question regarding how many workers earn less than Rs. 850.

### Step 1: Organize the Data
We have the following wages of 30 workers:
830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840.

### Step 2: Create the Frequency Distribution Table
We will create a frequency distribution table with the specified class intervals: 800 – 810, 810 – 820, and so on.

| Class Interval | Tally Marks | Frequency |
|----------------|-------------|-----------|
| 800 – 810 | |||| | 4 |
| 810 – 820 | |||| | 3 |
| 820 – 830 | |||| | 3 |
| 830 – 840 | |||| | 6 |
| 840 – 850 | |||| | 5 |
| 850 – 860 | |||| | 4 |
| 860 – 870 | |||| | 2 |
| 870 – 880 | || | 1 |
| 880 – 890 | |||| | 4 |
| 890 – 900 | |||| | 3 |

### Step 3: Count the Frequencies
Now, we will count how many workers fall into each class interval:
- 800 – 810: 4 workers
- 810 – 820: 3 workers
- 820 – 830: 3 workers
- 830 – 840: 6 workers
- 840 – 850: 5 workers
- 850 – 860: 4 workers
- 860 – 870: 2 workers
- 870 – 880: 1 worker
- 880 – 890: 4 workers
- 890 – 900: 3 workers

### Step 4: Draw the Histogram
To draw the histogram:
1. On the x-axis, represent the class intervals.
2. On the y-axis, represent the frequency of workers.
3. For each class interval, draw a bar whose height corresponds to the frequency of workers in that interval.

### Step 5: Answer the Question
To find out how many workers earn less than Rs. 850, we will sum the frequencies of the class intervals that are below Rs. 850:
- 800 – 810: 4 workers
- 810 – 820: 3 workers
- 820 – 830: 3 workers
- 830 – 840: 6 workers
- 840 – 850: 5 workers

Total = 4 + 3 + 3 + 6 + 5 = 21 workers

### Final Answer
**21 workers earn less than Rs. 850.**

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