As part of a study of email, a researcher counted the length of 34 emails. The lengths of the emails are shown below, rounded to the nearest thousand characters (so a length 0 means that the numbers of characters rounded to 0, not that the message was blank).
Calculate and find the mean, including units.
Can you figure out how to find the median using the frequency table? See if you can do it without listing all the data values.
Based on the mean and the median, would you expect the distribution to be symmetric, skewed left, or skewed right?
| Length of an email (Thousands of characters) | Frequency |
|---|---|
| 0 | 4 |
| 1 | 5 |
| 2 | 2 |
| 3 | 3 |
| 4 | 3 |
| 5 | 1 |
| 6 | 3 |
| 7 | 3 |
| 8 | 0 |
| 9 | 3 |
| 10 | 3 |
| 11 | 2 |
| 12 | 0 |
| 13 | 0 |
| 14 | 2 |
Lee et al., Math in Society, §3.3 Summary Statistics: Measures of Center, Exercise 6