Khan Academy: Displaying And Comparing The Data

Question 1

How is the median calculated?

Answer 1

The median is calculated by arranging the scores in numerical order, dividing the total number of scores by two, then rounding that number up if using an odd number of scores to get the position of the median or, if using an even number of scores, by averaging the number in that position and the next position.

Question 2

What do the beginning and the end of a box plot show?

Answer 2

Min and Max values

Question 3

There have been 32 attempts on taking the southern route for coast to coast travel from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1300, and 1700 miles.
The median will likely be ____ mean (</>/=)

Answer 3

The two outliers cancel each other out when calculating both the median and the mean. Thus the median and the mean should be about equal - somewhere around 1500 miles, so mean = median

Question 4

What is meant by “center” and “variability” of a distribution?

Answer 4

Median and spread ( mostly used for estimates)

Question 5

Practice comparing distribution

Answer 5

Ref