The purpose/question that needs to be answered is why is the lamp not working.
A reasonable hypothesis would be that the light bulb is burned out.
The experiment would be to change the light bulb (with a new one) and turn on the lamp to see if the lamp turns on.
For data, one would just observe if the light comes on or not. This type of problem does not lend itself to being graphed. There are no measurements that need to be taken. The data can be observed by turning on and off the lamp to see if the problem has been fixed. The dependent variable is the lamp (whether it lights up or not when changing the bulb). The independent variable is the new light bulb.
If the light does come on, the conclusion would be that the burned out light bulb caused the lamp not to work. If the lamp did not come on, the conclusion would be that there is something else wrong with the lamp or the outlet that is causing the lamp to remain off. Other things to test if the lamp did not light up when the bulb was changed was to see if there was a fuse blown. If you flip the breaker and the light comes on, then the reason the lamp didn’t turn on was the fuse, and the other light bulb could still be used. Finally, the lamp could have a short in the wires. If the neither the new bulb or the fuse do not get the lamp to work the problem may be the lamp itself. It is possible the outlet is defective or damaged. The best thing to do in that case would be to try the lamp in a different outlet.