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The following data give the commuting time (in minutes) from home to school for 30 high school students.
22 16 11 12 23 51 42 6 31 10
19 8 21 28 15 43 5 19 7 14
36 27 8 23 37 18 13 29 17 9
a. Order the data.
b. Prepare an ordered stem-and-leaf display. Make sure to use a key.
c. Is the data set symmetric, skewed to the right or skewed to the left?
A. 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 21, 22, 23, 23, 27, 28, 29, 31, 36, 37, 42, 43, 51.
B. Key: 1|2 : 12
0|567889
1|01234567899
2|1233789
3|167
4|23
5|1
C. The data isn’t symmetrical, it is slightly skewed right.
It looks to the left. How did you figure to the right?
This is my solution
In your solution you did write “left”. I am still trying to figure out how does one see “left” or “right”.
The way to think of skewing is to begin with a symmetric data set and then pull on an existing tail or create one if need be. The direction of the pull is the skewing. This data set has absolutely no left tail, just a right tail, so the skewing is by default to the right.
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