1. **Problem Statement:** Construct a frequency distribution with suitable class intervals for the given tomato weights data and draw a histogram and ogive curve. 2. **Understanding the problem:** We have raw data of tomato weights and need to organize it into a frequency distribution table. Then, we will use this table to draw a histogram and an ogive. 3. **Step 1: Find the range of data** - Minimum value = 52 - Maximum value = 120 - Range = $120 - 52 = 68$ 4. **Step 2: Decide class intervals** - Choose class width, say 10 (a common choice for this range) - Classes: 50-59, 60-69, 70-79, 80-89, 90-99, 100-109, 110-119, 120-129 5. **Step 3: Tally frequencies for each class** - 50-59: Count values between 50 and 59 - 60-69: Count values between 60 and 69 - 70-79: Count values between 70 and 79 - 80-89: Count values between 80 and 89 - 90-99: Count values between 90 and 99 - 100-109: Count values between 100 and 109 - 110-119: Count values between 110 and 119 - 120-129: Count values between 120 and 129 6. **Step 4: Construct frequency distribution table** | Class Interval | Frequency | |----------------|-----------| | 50 - 59 | 5 | | 60 - 69 | 7 | | 70 - 79 | 8 | | 80 - 89 | 10 | | 90 - 99 | 9 | | 100 - 109 | 7 | | 110 - 119 | 4 | | 120 - 129 | 1 | 7. **Step 5: Draw histogram** - Plot class intervals on x-axis and frequencies on y-axis - Draw bars with heights equal to frequencies for each class 8. **Step 6: Draw ogive (cumulative frequency curve)** - Calculate cumulative frequencies: | Class Interval | Cumulative Frequency | |----------------|----------------------| | 50 - 59 | 5 | | 60 - 69 | 12 | | 70 - 79 | 20 | | 80 - 89 | 30 | | 90 - 99 | 39 | | 100 - 109 | 46 | | 110 - 119 | 50 | | 120 - 129 | 51 | - Plot cumulative frequency against upper class boundaries - Connect points with a smooth curve **Final answer:** Frequency distribution table constructed with class intervals and frequencies as above. Histogram and ogive can be drawn using this data.