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Yes. And in any symmetric distribution, they will.
No.It is asymmetric.
yes it is
It can do. If you define a quarter of it as one part and the rest as another, the two WILL be different! But the distribution IS symmetric about its mean.
No, in general is not. It is only symmetric if the probability of success in each trial is 0.5
If it is a symmetric distribution, the median must be 130.
Yes, they can.Yes, they can. In a symmetric distribution they will be the same.
Mean
No. The mean and median are not necessarily the same. They will be the same if the distribution is symmetric but the converse is not necessarily true. That is to say, a distribution does not have to be symmetric for the mean and median to be the same. For example, the mean and median of {1, 1, 5, 6, 12} are both 5 but the distribution is NOT symmetric.
yes
That would provide some evidence that the distribution is symmetric about the mean (or median).
That would provide some evidence that the distribution is symmetric about the mean (or median).
Median.
Yes. And in any symmetric distribution, they will.
The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.
It means that the probability density function is symmetric about 0.
All equal.