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Table 1. Number of years of reign for English monarchs
The possible outliers are 56, 59 and 64. However, this data is based on fact, so the numbers exist because each of these monarchs came to the throne early in their youth and enjoyed long lives. This reasoning suggests that there are no outliers. Return to question 1b
The number of peaks that appear at the beginning of the distribution is one.
The general shape of the distribution is skewed to the right.
The approximate value at the centre of the distribution is 18 years.
The outlier in this exercise is 21. One reason could be that there were only 21 fries in the bag on that day because they were the only fries left in the batch. Another reason could be that the number recorded was incorrect (i.e., 21 instead of 41). Return to question 2b
The graph is unimodal, meaning it has only one peak in this distribution.
If the outlier is removed, the general shape of the distribution is roughly symmetric.
The approximate value at the center of distribution is between 43 and 44 or 43.5 fries.
Note: If you have a class interval that is empty, you should always use the endpoint as the upper value. For instance, in the above example, there is one bag in the 20–24 interval, but no bags in the 25–29 interval. To determine the upper value for the 25–29 interval, use the endpoint of 29. Return to question 2d
Table 6. Commuter time of Statistics Canada employees, Ottawa
Stem
Leaf
0
1
2
2
2 5 9
3
1 3 7 8
4
0 1 3 4 5 5 9
5
0 1 2 2 5 6 6 8 8 9
6
0 0 1 2 3 3 4 4 5 5 6 7 8 9 9
7
1 3 5 6 7
8
0 3 7 9
9
8
A possible outlier could be 98. The reason for this outlier might be that the person had difficulty in getting to work, or simply lives further away than most employees. Return to question 4d
The graph is unimodal, meaning it only has one peak in the distribution.
The general shape at the centre of distribution is quite symmetric.
The approximate value at the centre of distribution is between 59 and 60 or 59.5 minutes.