66.2k views
2 votes
if two sets of data have the same range and same mean, then they have the same mode. determine whether this statement i sometimes, always. or never. provide evidence.

User Damirsehic
by
8.4k points

1 Answer

1 vote
Sometimes true. This deals with the definition of range, mean, and mode. Range = difference between the smallest and largest number Mean = average. Just add up all the numbers together and divide by the number of numbers in the list. Mode = The number that occurs the most frequently. Now for an example where two lists of numbers that have the same range and mean, but don't have the same mode list_1 = {1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10} range = 9 mean = 5.27 mode = 3 list_2 = {1, 2, 3, 4, 4, 4, 6, 7, 8, 9, 10} range = 9 mean = 5.27 mode = 4 So the above 2 lists show a case where the range and mean match exactly, but they don't have the same mode. Now for two different lists where their mode does match. list_1 = {1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10} Range = 9 Mean = 5.27 Mode = 3 list_2 = {1, 2, 3, 3, 3, 4, 5, 8, 9, 10, 10} Range = 9 Mean = 5.27 Mode = 3 So as you can see, a 2 sets of data may have the same same and same mean and will only sometimes have the same mode.
User ThomasK
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories