Draw a histogram for the frequency distribution table given in Example 13 and statement of Example 13 is given by as-
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
Which class interval has the maximum number of workers?

Answer

To solve the problem, we will follow these steps:

### Step 1: Organize the Data
First, we need to list the weekly wages of the 30 workers provided in the question:
- 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 Class Intervals
Next, we will create the class intervals as specified:
- 800 - 810
- 810 - 820
- 820 - 830
- 830 - 840
- 840 - 850
- 850 - 860
- 860 - 870
- 870 - 880
- 880 - 890
- 890 - 900

### Step 3: Tally the Frequencies
Now, we will tally the number of workers in each class interval based on the wages:
- **800 - 810**: 4 (804, 808, 810, 806)
- **810 - 820**: 3 (812, 820, 818)
- **820 - 830**: 3 (830, 832, 833)
- **830 - 840**: 7 (830, 835, 835, 835, 835, 836, 836)
- **840 - 850**: 6 (840, 840, 845, 845, 848)
- **850 - 860**: 4 (855, 860, 855)
- **860 - 870**: 2 (868, 869)
- **870 - 880**: 1 (878)
- **880 - 890**: 5 (885, 890, 890, 890)
- **890 - 900**: 1 (898)

### Step 4: Create the Frequency Distribution Table
We can now create a frequency distribution table:

| Class Interval | Frequency |
|----------------|-----------|
| 800 - 810 | 4 |
| 810 - 820 | 3 |
| 820 - 830 | 3 |
| 830 - 840 | 7 |
| 840 - 850 | 6 |
| 850 - 860 | 4 |
| 860 - 870 | 2 |
| 870 - 880 | 1 |
| 880 - 890 | 5 |
| 890 - 900 | 1 |

### Step 5: Draw the Histogram
To draw the histogram:
1. On the x-axis, represent the class intervals.
2. On the y-axis, represent the frequency.
3. For each class interval, draw a bar whose height corresponds to the frequency of that interval.

### Step 6: Identify the Class Interval with Maximum Workers
From the frequency distribution table, we can see that the class interval with the maximum number of workers is **830 - 840**, which has a frequency of 7.

### Final Answer
The class interval that has the maximum number of workers is **830 - 840**.

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