Ap Stats Summer(part 6)

Question 1

When do we often use mode?

Answer 1

With categorical variables. For instance, to describe the average teenagers preference, we often speak of what “most” students chose, which is the mode. It is also tells the number of bumps in a histogram for quantitative data (unimodal, bimodal, etc…).

Question 2

Why don’t we always use the mean?

Answer 2

It is not RESILIENT, it is impacted by skewness and outliers

Question 3

When we say “the average teenager” are we talking about mean, median or mode?

Answer 3

It depends, if we are talking height, it might be the mean, if we are talking about parental income, we’d probably use the median, if we were talking about music preference, we’d probably use the mode to talk about the average teenager.

Question 4

what is a clear example of where the mean would change but median wouldn’t? (this would show its resilience)

Answer 4

Five people have gumballs {2,3,5,7,8}. The mean and median are both five. One person gets more gumballs {2,3,5,7,42}. Median is still 5 but the mean is now 25.4.

Question 5

How are mean, median and mode positioned in a skewed left histogram?

Answer 5

goes in that order from left to right. Mean-median-mode

Question 6

How are mean, median and mode positioned in a skewed right histogram?

Answer 6

goes in the opposite order.. Mode-median-mean

Question 7

Who chases the tail?

Answer 7

The mean chases the tail