Question

1j: calculate relative frequencies and cumulative frequencies using a frequency distribution table
a total of 130 seventh and eighth grade girls were asked whether they preferred to read fiction or poetry. the results of the survey are shown in the table below.
what is the relative frequency of girls who prefer poetry?

	fiction	poetry	total
eighth grade girls	33	32	65
total	79	51	130

a. $\frac{19}{51}$
b. $\frac{51}{130}$
c. $\frac{65}{130}$
d. $\frac{32}{51}$

Explanation:

Step1: Recall relative - frequency formula

Relative frequency = $\frac{\text{Frequency of the category}}{\text{Total frequency}}$

Step2: Identify relevant values

The frequency of girls who prefer poetry is 51, and the total number of girls surveyed is 130.

Step3: Calculate relative frequency

Relative frequency = $\frac{51}{130}$

Answer:

B. $\frac{51}{130}$