Question

A biologist takes a sample of 100 grass plants to measure stem length. How can I draw a histogram to represent the data? How can I calculate the probability that a stem selected at random was less than 28cm in length

Answer 1

ANSWERS

• Histogram:

• P(less than 28 cm) = 0.21

Step-by-step explanation

To draw a histogram of this data, we have to draw two axes. The vertical axis will be the frequency and the horizontal axis will be the length. For each length, we have to draw a bar with the height of its frequency. This way, the resulting histogram must have 8 columns,

Now, we have to find the probability that a stem selected at random, X, is less than 28 cm in length. To do so, we can either use the table or the histogram - which is a graphic way of showing the data in the table,

`P(X\lt28cm)=(2+9+10)/(100)=(21)/(100)=0.21`

Hence, the probability that a stem selected at random is less than 28 cm in length is 0.21.