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).
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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.
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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! 