Question

use the frequency distribution shown below to construct an expanded frequency distribution. high temperatures (°f) class 18 - 28 29 - 39 40 - 50 51 - 61 62 - 72 73 - 83 84 - 94 frequency, f 18 41 68 69 78 68 23 complete the table below. high temperatures (°f) (round to the nearest hundredth as needed.) class frequency, f midpoint relative frequency cumulative frequency 18 - 28 18

Explanation:

Step1: Calculate mid - point

The formula for the mid - point of a class interval $a - b$ is $\frac{a + b}{2}$. For the class $18-28$, the mid - point is $\frac{18 + 28}{2}=\frac{46}{2}=23$.

Step2: Calculate total frequency

The total frequency $n=18 + 41+68 + 69+78+68+23=365$.

Step3: Calculate relative frequency

The relative frequency of a class is $\frac{f}{n}$. For the class $18 - 28$ with $f = 18$, the relative frequency is $\frac{18}{365}\approx0.05$.

Step4: Calculate cumulative frequency

The cumulative frequency of the first class is equal to its own frequency. For the class $18 - 28$, the cumulative frequency is $18$.

Answer:

Class	Frequency, f	Midpoint	Relative frequency	Cumulative frequency