Mathematics
Mathematics
Problem
Find the missing frequency 'f' in the following table, if the mean of the given data is 18. Hence find the mode.| Daily Allowance | Number of Children |
|---|---|
| 11 – 13 | 7 |
| 13 – 15 | 6 |
| 15 – 17 | 9 |
| 17 – 19 | 13 |
| 19 – 21 | f |
| 21 – 23 | 5 |
| 23 – 25 | 4 |
Intuitive explanation
The mean of grouped data depends on the sum of all frequencies and the weighted sum of class midpoints. Since you know the mean is 18, you can set up an equation using the formula , where is each class midpoint and is frequency. Solve for the unknown frequency, then identify the mode as the class with the highest frequency.
Intuitive explanation
The mean of grouped data depends on the sum of all frequencies and the weighted sum of class midpoints. Since you know the mean is 18, you can set up an equation using the formula , where is each class midpoint and is frequency. Solve for the unknown frequency, then identify the mode as the class with the highest frequency.