Construct a L.C.F and G.C.F curve for the following data.

Marks obtained: 0 - 5, 5 - 10, 10 - 15, 15 - 20, 20 - 25
No. of Students: 10, 35, 22

To construct a Less Than Cumulative Frequency (L.C.F) curve and a Greater Than Cumulative Frequency (G.C.F) curve, you can start by calculating the cumulative frequencies for each class interval. The given data represents the marks obtained by students, and you also have the corresponding number of students for each interval.

Here's how you can calculate the cumulative frequencies:

L.C.F (Less Than Cumulative Frequency):

For the first interval (0 - 5), the cumulative frequency is 10.
For the second interval (5 - 10), add the frequency of the second interval to the cumulative frequency of the first interval: 10 + 35 = 45.
For the third interval (10 - 15), add the frequency of the third interval to the cumulative frequency of the second interval: 45 + 22 = 67.
For the fourth interval (15 - 20), add the frequency of the fourth interval to the cumulative frequency of the third interval: 67 + 15 = 82.
For the fifth interval (20 - 25), add the frequency of the fifth interval to the cumulative frequency of the fourth interval: 82 + 22 = 104.
G.C.F (Greater Than Cumulative Frequency):

For the first interval (0 - 5), the cumulative frequency is 104 (the total number of students).
For the second interval (5 - 10), subtract the frequency of the second interval from the total: 104 - 22 = 82.
For the third interval (10 - 15), subtract the frequency of the third interval from the cumulative frequency of the second interval: 82 - 15 = 67.
For the fourth interval (15 - 20), subtract the frequency of the fourth interval from the cumulative frequency of the third interval: 67 - 35 = 32.
For the fifth interval (20 - 25), subtract the frequency of the fifth interval from the cumulative frequency of the fourth interval: 32 - 10 = 22.