Question

I was doing this math question and I got super confused I have answers but I don't think they're right could you help me?

Answer 1

We are given a symmetric dot plot. The mean in a symmetric dot plot is the value in the middle of the dot plot, therefore:

$Mean=4$

The median in a symmetrical distribution is the same as the mean:

$median\text{ = 4}$

if the analysis is done using the data and not the graph we would use the relationship:

$median=\frac{4+4}{2}=\frac{8}{2}=4$

The mode is the value that is repeated the most. From the graph we notice that the value that is most repeated is:

$mode=4$

In a symmetrical distribution the mean is always equal to the median and the mode.