Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The marks of students in a test are shown in the table. The classes are inclusive.
| Marks | Students |
|---|---|
| 31-40 | 3 |
| 41-50 | 6 |
| 51-60 | 12 |
| 61-70 | 10 |
| 71-80 | 6 |
| 81-90 | 3 |
Find the class mark of to and the mean mark.
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. Six inclusive classes of width , with .
Step 1. The class marks. For to the class mark is . The class marks are and .
Step 2. The products. is and . Their sum is .
Step 3. The mean. marks.
Answer: the class mark is and the mean mark is .
Watch out. With the wrong class marks , the mean would be . That is too small.
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