Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A gardener measures the heights of sunflower seedlings. The table shows the result.
| Height (cm) | Seedlings |
|---|---|
| 10-15 | 2 |
| 15-20 | 5 |
| 20-25 | 9 |
| 25-30 | 8 |
| 30-35 | 6 |
Find the class mark of the class to , and the mean height by the direct method.
For grouped data, each class is replaced by its class mark . The mean is
For inclusive classes such as to , the class mark is still half the sum of the two ends.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. Five classes of width , with seedlings.
Plan. Find the class marks, then , then use .
Step 1. The class marks. For to the class mark is . The others are and .
Step 2. The products. is , then , then , then , then . The total is .
Step 3. The mean. .
Answer: the class mark is and the mean height is .
Check. The mean lies between the first and the last class marks, and near the middle one. It does.
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