Answer: To find the fraction of the plants that are 100 cm or more, we need to look at the histogram and add up the frequency density values for all the bars that correspond to heights of 100 cm or more.
Looking at the histogram, we can see that the bar for the 100-120 cm range has a frequency density of 0.5, and the bar for the 120-140 cm range has a frequency density of 1.5. This means that there are:
0.5 + 1.5 = 2.0 frequency density units for plants that are 100 cm or more
To convert this to a fraction, we need to divide by the total frequency density for all the plants, which we can find by looking at the entire histogram.
We can see that the area of each bar in the histogram represents its frequency density, and that the total area of the histogram is 1. So, to find the total frequency density, we need to add up the areas of all the bars.
To estimate the area, we can multiply the height of each bar by its width. For example, the area of the first bar (for the 80-100 cm range) is approximately:
0.5 x 20 = 10
Doing this for all the bars, we get:
10 + 10 + 20 + 25 + 5 = 70
So the total frequency density for all the plants is 70.
Finally, we can find the fraction of the plants that are 100 cm or more by dividing the frequency density units for plants that are 100 cm or more by the total frequency density:
2.0 / 70 = 0.0286
So approximately 2.86% of the plants are 100 cm or more.
Explanation: