Question

1. the table represents the heights (in cm) of a group of students, with the following relative frequencies: height (cm) relative frequency 140 - 150 0.10 150 - 160 0.20 160 - 170 0.40 170 - 180 0.20 180 - 190 0.10 construct a histogram with the relative frequency and the heights of students. question: what is the probability that a randomly selected student is taller than 160 cm?

Explanation:

Step1: Identify relevant relative frequencies

The height intervals taller than \(160\) cm are \(160 - 170\), \(170 - 180\), and \(180 - 190\). Their relative frequencies are \(0.40\), \(0.20\), and \(0.10\) respectively.

Step2: Sum the relative frequencies

$$0.40+0.20 + 0.10=\frac{40}{100}+\frac{20}{100}+\frac{10}{100}=\frac{40 + 20+10}{100}=\frac{70}{100}=0.7$$

Answer:

\(0.7\)