The problem seems to be lacking a question. But looking for the same problem from another source, we're looking for the new mode after adding the 6 numbers into the data set.
Mode, in its most basic definition, is the number or data that is most repeated in a data set. For example, in {1, 1, 1, 2, 2, 3}, the most repeated number is 1. Hence, the mode is 1.
Now, going back to Lucia's problem. Prior to adding the 6 numbers, the mode of the set of 87 numbers is already 31. That means 31 is the most repeated number in the set. Checking the numbers that were added, since another count for 31 is to be added, even if the number of 23, 26, 28, and 40 are increased by 1. 31 will still be the most repeated number in the set. Hence, the mode is still 31.
One of the missing angles is 45degrees 64+71=135 then subtract from 180 since it is a triangle. Then 64 are vertical angles with the one across from it which stays the same. The last angle would be 64+56=120 and 180-120=60 which would be the last angle. Hope this Helps... Juan
