Identify any outliers in each of the following data sets:
Identify the outlier(s) in the following data sets:
The marks achieved by students in a class on a particular math exam were:
66, \,74, \,62, \,64, \,60, \,13, \,68, \,67, \,70, \,61, \,58, \,57, \,73, \,71, \,75, \,63Rochelle recorded the heights (in centimetres) of all the students in her class:
148, \,153, \,137, \,142, \,140, \,146, \,136, \,143, \,135, \,144, \,189, \,138, \,149, \,139, \,145, \,150
Frank has just finished a successful cricket season. Over the course of the season, he managed to make the following number of runs in each of his innings:
50, \,53, \,54, \,8, \,51, \,46, \,48, \,61, \,56, \,49, \,55, \,59, \,44, \,104
The following graphs show the annual net profit (in millions) of a company over a several year period. For each graph, state the year in which the annual net profit is an outlier:
For each of the following stem and leaf plots, identify the outlier(s):
| Number of hours | |
|---|---|
| 1 | 2 |
| 2 | 7\ 7\ 9\ 9 |
| 3 | 1\ 3\ 3\ 3\ 3\ 5\ 8 |
| 4 | 4\ 4\ 5 |
| Hours per week | |
|---|---|
| 1 | 1 |
| 2 | 6\ 7\ 9 |
| 3 | 1\ 2\ 2\ 4\ 4\ 5\ 6\ 7\ 8\ 9 |
| 4 | 1 |
Key: 5\vert 2 = 52 hours
| Leaf | |
|---|---|
| 2 | 3 |
| 3 | |
| 4 | |
| 5 | |
| 6 | |
| 7 | 1\ 3\ 5\ 8 |
| 8 | 1\ 3\ 3\ 4\ 5 |
| 9 | 3\ 4 |
Key: 1|2=12
| Leaf | |
|---|---|
| 5 | 1 |
| 6 | 5 |
| 7 | 1\ 5\ 7\ 9 |
| 8 | 1\ 1\ 2\ 2\ 3 |
| 9 | 8 |
Key: 1|2 = 12
| Leaf | |
|---|---|
| 5 | 2 |
| 6 | 5\ 8\ 8\ 8 |
| 7 | 3\ 3\ 8\ 8 |
| 8 | 9 |
Key: 1\vert 2 = 12
| Leaf | |
|---|---|
| 3 | 4\ 4\ 9 |
| 4 | 6\ 6\ 8\ 9 |
| 5 | 1\ 4 |
| 6 | |
| 7 | |
| 8 | 4 |
Key: 1\vert 2 = 12
For each of the following dot plots, identify the outlier(s):
The table shows the average temperature (\degree \text{C}) in a particular city over several years:
| \text{Year} | 2 002 | 2 003 | 2 004 | 2 005 | 2 006 | 2 007 | 2 008 |
|---|---|---|---|---|---|---|---|
| \text{Temperature } (\degree \text{C}) | 32.7 | 26.5 | 22.6 | 22.5 | 24.2 | 23.0 | 24.1 |
State the year in which the temperature is an outlier.
Identify the outlier in the following frequency tables:
| Score | Frequency |
|---|---|
| 12 | 2 |
| 13 | 5 |
| 14 | 1 |
| 15 | 2 |
| 16 | 0 |
| 17 | 0 |
| 18 | 0 |
| 19 | 1 |
| Score | Frequency |
|---|---|
| 14 | 1 |
| 15 | 0 |
| 16 | 0 |
| 17 | 3 |
| 18 | 6 |
| 19 | 4 |
| 20 | 2 |
The selling price of recently sold houses in a particular suburb are:
\$467\,000,\, \$413\,000,\, \$410\,000,\, \$456\,000,\, \$487\,000,\, \$929\,000
Which of the selling prices is an outlier?
Describe why this house might have such a different selling price from the others.