Question: Consider the data set below. 3.4 5.0 2.6 3.9 2.4 4.4 3.5 4.0 4.1 4.6 2.6 2.3 3.1 3.6 3.7 2.9 3.6 4.2 4.0 4.1
Consider the data set below.
| 3.4 | 5.0 | 2.6 | 3.9 | 2.4 | 4.4 | 3.5 | 4.0 | 4.1 | 4.6 |
| 2.6 | 2.3 | 3.1 | 3.6 | 3.7 | 2.9 | 3.6 | 4.2 | 4.0 | 4.1 |
| 3.6 | 6.1 | 2.3 | 3.0 | 2.8 | 5.2 | 1.7 | 5.9 | 2.1 | 3.4 |
| 2.2 | 3.7 | 5.5 | 4.6 | 1.6 | 3.9 | 6.3 | 4.7 | 3.7 | 4.0 |
| 4.2 | 5.9 | 3.7 | 5.0 | 3.9 | 5.8 | 4.9 | 4.2 | 3.4 | 3.9 |
Construct a relative frequency histogram for these 50 measurements using classes starting at 1.6 with a class width of 0.5.
A relative frequency histogram has a horizontal axis with values from 1.1 to 7.0 and a vertical axis labeled "Relative Frequency" with values from 0.00 to 0.40. The relative frequency histogram has 10 bars of equal width. Each bar is associated with an interval and a value as listed below.
- 1.6 to 2.1: 0.04
- 2.1 to 2.6: 0.10
- 2.6 to 3.1: 0.04
- 3.1 to 3.6: 0.10
- 3.6 to 4.1: 0.28
- 4.1 to 4.6: 0.06
- 4.6 to 5.1: 0.10
- 5.1 to 5.6: 0.04
- 5.6 to 6.1: 0.12
- 6.1 to 6.6: 0.12
How would you describe the shape of the distribution?
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