Question

data was collected for a sample of lemonade brands. the amount of sugar (in mg) recorded is summarized in the histogram below. (where necessary, round results to 2 decimal places.) a. what is the sample size for this data set? n = b. what is the relative frequency of the class that contains the data value 165? (give result as a decimal, rounded to at least 2 decimal places.) relative frequency = question help: video

Explanation:

Step1: Calculate sample size

The sample size $n$ is the sum of all frequencies. From the histogram, the frequencies are 4, 3, 5, 7, 8, 2, 2. So $n=4 + 3+5 + 7+8+2+2$.
$n=31$

Step2: Determine class for 165

The data - value 165 is in the class 160 - 170 with a frequency of 8.

Step3: Calculate relative frequency

The relative frequency of a class is given by $\text{Relative Frequency}=\frac{\text{Frequency of the class}}{\text{Total frequency}}$.
The total frequency $n = 31$ and the frequency of the class containing 165 is 8. So the relative frequency $=\frac{8}{31}\approx0.26$

Answer:

a. $n = 31$
b. relative frequency $\approx0.26$