Sign In
Set the horizontal axis to be Amount of Money
and the vertical axis to be Frequency.
Which measures should we use when the distribution of the data is skewed?
What does it mean if the data are more concentrated on the left or the right of the histogram?
Histogram:
Distribution: Skewed right
The median to describe the center and the five-number summary to describe the variation.
See solution.
Consider the given frequency table.
| Amount | Frequency |
|---|---|
| 0-0.99 | 9 |
| 1-1.99 | 10 |
| 2-2.99 | 9 |
| 3-3.99 | 7 |
| 4-4.99 | 4 |
| 5-5.99 | 1 |
The given table shows the amounts (in dollars) of money the students in a class have in their pockets. Let's first display the data in a histogram. To do so, let's set the horizontal axis to be the Amount of Money
and the vertical axis to be the Frequency.
Finally, we will draw bars to represent the frequency of each interval. Let's do it!
Now, let's find the distribution of the histogram. We can see that most of the data are on the left of the distribution and the tail of the graph extends to the right. Then the distribution is skewed right.
Since the distribution is skewed, use the median to describe the center and the five-number summary to describe the variation.
We will begin by looking at the histogram that shows the amounts of money a group of adults have in their pockets.
The distribution of the above is skewed left and the median and five-number summary best represent the data. We are asked to compare it with the histogram we found in Part A. First, we can see that the adults typically have more money in their pockets. Additionally, their amounts vary more.