how to compute for the mode?

Question

The data is given in this text:

Classes____________frequency
85<91 ____________10
91<97 ____________ 8
97<103 ____________3
103<109____________8
109<115 ____________0
115<121____________7

*please help me answer this.
*the same serves as our online assignment, which needs to be solved and passed ASAP.

Answer 1

The mode is the value that occurs with the greatest frequency. You don't have exact values, though, just ranges, and that's not enough data for you to find the mode. You can't say, for example, that the mode falls between 85 and 91 just because the most values fall in that range. Suppose the 10 values in that range are 85, 85, 86, 86, 87, 87, 88, 88, 89, 90. That's 10 values, and the most that there are of any one value is 2. And suppose the values between 97 and 103 are 98, 98, 98. All 3 values are 98, so this could be the mode. But then suppose the values between 91 and 97 are 93, 93, 93, 93, 93, 93, 93, 93. There are 8 values equal to 93, so that's the mode. But the values could be 92, 92, 93, 93, 94, 95, 96, 97 instead, and now there is no more than 2 of any one value, and 98 would still be the mode. So with the given information, you can't determine the mode.

Answer 2

Davidk93's answer is correct. If you are being asked for the "modal interval" though, it is 85<91.