The output of a gas furnace has large quantities of carbon dioxide, which must be monitored carefully. This table gives the percentage of CO2 in the output, with samples taken every 9 seconds.
53.8 | 56 | 48.4 | 48.3 | 51.5 | 54.4 | 57.7 |
53.6 | 56.8 | 47.9 | 47 | 51.6 | 56 | 57 |
53.5 | 56.8 | 47.6 | 45.8 | 51.2 | 56.9 | 56 |
53.5 | 56.4 | 47.5 | 45.6 | 50.5 | 57.5 | 54.7 |
53.4 | 55.7 | 47.5 | 46 | 50.1 | 57.3 | 53.2 |
53.1 | 55 | 47.6 | 46.9 | 49.8 | 56.6 | 52.1 |
52.7 | 54.3 | 48.1 | 47.8 | 49.6 | 56 | 51.6 |
52.4 | 53.2 | 49 | 48.2 | 49.4 | 55.4 | 51 |
52.2 | 52.3 | 50 | 48.3 | 49.3 | 55.4 | 50.5 |
52 | 51.6 | 51.1 | 47.9 | 49.2 | 56.4 | 50.4 |
52 | 51.2 | 51.8 | 47.2 | 49.3 | 57.2 |
|
52.4 | 50.8 | 51.9 | 47.2 | 49.7 | 58 |
|
53 | 50.5 | 51.7 | 48.1 | 50.3 | 58.4 |
|
54 | 50 | 51.2 | 49.4 | 51.3 | 58.4 |
|
54.9 | 49.2 | 50 | 50.6 | 52.8 | 58.1 |
|
Source: Time Series Data Library
(a) Group these measurements into equal classes, and construct a frequency distribution table for the data. (Use a spreadsheet to help solve this problem.)
(b) Compute the mean, median, and mode of the data.
(c) Compute the standard deviation of the data.
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