A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:
A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:
2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5 3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7 2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8 3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4 4.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6
Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the intervals 2 − 2.5.
1 Answers
A grouped frequency table of class size 0.5 has to be constructed, starting from class interval 2 − 2.5.
Therefore, the class intervals will be 2 − 2.5, 2.5 − 3, 3 − 3.5…
By observing the data given above, the required grouped frequency distribution table can be constructed as follows.
| Lives of batteries (in hours) | Number of batteries |
| 2 - 2.5 | 2 |
| 2.5 - 3.0 | 6 |
| 3.0 - 3.5 | 14 |
| 3.5 - 4.0 | 11 |
| 4.0 - 4.5 | 4 |
| 4.5 - 5.0 | 3 |
| Total | 40 |