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Frequency Distribution Wages Ac5Dcd

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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.