Practice: Visualizing Data

What can be said about the distribution of the ordered data set $$(170, 177, 184, 202, 212, 223, 225, 225, 225, 246, 264, 281, 297, 330, 348, 369, 376)$$ given the following R code?

> mean(c(170, 177, 184, 202, 212, 223, 225, 225, 225, 
>        246, 264, 281, 297, 330, 348, 369, 376))
256.117647058824

Answer:

The distribution is skewed left.

The distribution is skewed right.

The distribution is symmetric.

On quizzes and exams, you will need to justify your answer with an explanation.

Solution.

Computing by hand, we find the median of this data set to be $225$ which is somewhat less than $256.117647058824$ so we suspect the distribution of the dataset to be moderately skewed to the right. In fact, further computation shows that the median is much closer to Q1 than to Q3 which confirms our suspicion.

TODO.

Answer:

Solution.

TODO