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# Modelling the heights of saplings watch

1. The following data come from a random sample of 1000 saplings collected from a representative 0.25 km2 area in a forest. Your job is to find a way to use this random sample to develop a probability density function (pdf) to model the population of all such saplings in the area in which the sample was taken.

Heights (m)
Frequency
0.00–0.25
61
0.25–0.50
160
0.50–0.75
209
0.75–1.00
202
1.00–1.25
158
1.25–1.50
105
1.50–1.75
58
1.75–2.00
29
2.00–2.25
12
2.25–2.50
4
2.50–2.75
1
2.75–3.00
1

1. How do I graph this data? Using a histogram?

2. The question asks me to add 2 columns to the table entering the expected frequencies for the 1000 saplings for both a normal and Poisson distribution. What does normal distribution mean? The data also cannot be converted into Poisson distribution.

3. How can this model be converted into a probability distribution function (pdf)?

This problem has made me pull out my hair and drink my own blood.
2. you could use ms excel or any other graphing software to plot the histogram. all you have to do is enter the data plot the graph.
for the normal distribution, take 'x' as the mid values and 'f' as frequencies and then find out the mean and standard variance in order to get the probabilities and then find out the expected frequencies.
for the Poisson distribution you need to convert the data into discrete random variables.
and i do not know how this data can be converted into PDF...if any one knows how to do this please help..

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