In this question, for 1st answer choice, mode could be 1/ 2. Does that mean for these kind of sets, if I find the mean and median, as long as mean=median, and it’s one of the modes -1/2. It satisfies the question - “Mean, median and Mode are the same”?
Or does it mean, that since the option have 2 modes, this case is never possible? Because mean, median and mode being same, cannot be equal to 2 numbers?
I wanted to figure this out, so I can save time while solving these kind of questions, by avoiding these sets, when it shows up in the answer choices.
1st option: Mode is 1/2 because the are most frequently shown.
Here, median = 2, because the set has 5 numbers
median = term in position (5 +1)/2 = 3rd Term
Mean = 9/5
I mean sure but also it doesn’t make sense to compare two things to one lol. Maybe a better question is to ask whether the mean = median = mode is possible (where your “mode” is just one of the modes).
Yes. Take for example there’s a set [1,1,2,2,3,3] . Here mode is 1,2,3. Meanwhile, mean = median = 2. And this satisfies the condition Mean = Median = Mode, so should I mark the answer/ not? My confusion is that if mode has multiple values does it never satisfy the condition/ not.
In this case, there is one median, and three modes, so if the median happens to be one of the modes then it cannot be the other one.
So these kind of options ([1,1,2,2,3,3]) cannot be marked for Mean = Median = Mode.
Thanks for helping in clear the concept! 