Frequency Distribution Wages Ac5Dcd
1. **Problem Statement:** Prepare a frequency distribution for the monthly wages of 30 employees using the given class intervals:
- More than 260 but not exceed 270
- More than 270 but not exceed 280
- ...
- More than 340 but not exceed 350
2. **Step 1: Understand the class intervals and data**
The class intervals are given as ranges where the lower limit is exclusive and the upper limit is inclusive, e.g., (260, 270]. The wages data are:
291, 339, 319, 326, 300, 287, 265, 277, 299, 295, 308, 327, 348, 286, 316, 276, 288, 269, 312, 300, 289, 316, 297, 305, 295, 280, 306, 293, 335, 286
3. **Step 2: Define all class intervals**
- (260, 270]
- (270, 280]
- (280, 290]
- (290, 300]
- (300, 310]
- (310, 320]
- (320, 330]
- (330, 340]
- (340, 350]
4. **Step 3: Count frequencies for each class interval**
- (260, 270]: 265, 269 → 2
- (270, 280]: 277, 276, 280, 276, 280 → 3 (Note: 280 is included here)
- (280, 290]: 287, 286, 286, 287, 288, 289 → 6
- (290, 300]: 291, 295, 295, 293, 299, 297, 295, 299 → 8
- (300, 310]: 300, 300, 305, 306, 308, 312 → 6
- (310, 320]: 316, 316, 319, 312, 316 → 5
- (320, 330]: 326, 327, 326, 327 → 2
- (330, 340]: 335, 339 → 2
- (340, 350]: 348 → 1
5. **Step 4: Present the frequency distribution table**
| Class Interval | Frequency |
|----------------|-----------|
| (260, 270] | 2 |
| (270, 280] | 3 |
| (280, 290] | 6 |
| (290, 300] | 8 |
| (300, 310] | 6 |
| (310, 320] | 5 |
| (320, 330] | 2 |
| (330, 340] | 2 |
| (340, 350] | 1 |
This frequency distribution summarizes the monthly wages data into the specified class intervals.
Final answer: Frequency distribution table as above.