The mean represents the typical value in a set of data for what type of distribution?
choose the correct answer below.
a.
for distributions that are bimodal
b.
for distributions that are skewed
c.
for all distributions
d.
for distributions that are roughly symmetric

For skewed distributions, the mean will be too small or too large depending on which tail is pulled out. This is why choice A is not the answer.

Choice B is not the answer because bimodal distributions will have the mean between the two modes, assuming the data is roughly symmetrical on either side. Though the majority of the data values is in the peaks, so its likely better to go with the mode in this case.

Choice C is wrong because A is not correct.

Choice D is the answer because the majority of the data values is either at or close to the peak point where the median and mode will also be close to as well. All three values are identical if the distribution is perfectly symmetric (eg: normal distribution).

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.