Question

190 people are asked how many siblings they have?

of siblings frequency relative frequency cumulative frequency

0 33 0.1737 33
1 43 0.2263 76
38 0.2 114
3 39 0.2053 153
4 37 0.1947 190
a. complete the table (use 4 decimal places when applicable)
b. what percent of the people have exactly one sibling? %
hint: frequency tables

Explanation:

Step1: Recall relative - frequency formula

Relative frequency = $\frac{\text{Frequency}}{\text{Total number of data points}}$. The total number of people surveyed is 190.

Step2: Calculate the missing values

For the row with 2 siblings, the relative frequency is $\frac{38}{190}=0.2$. The cumulative frequency for 2 siblings is $33 + 43+38 = 114$.
For the row with 3 siblings, the frequency is 39, the relative frequency is $\frac{39}{190}\approx0.2053$, and the cumulative frequency is $114 + 39=153$.
For the row with 4 siblings, the frequency is 37, the relative frequency is $\frac{37}{190}\approx0.1947$, and the cumulative frequency is $153+37 = 190$.

Step3: Answer part b

The relative frequency of people with exactly one sibling is 0.2263. To convert to a percentage, multiply by 100.
$0.2263\times100 = 22.63\%$

Answer:

a. The table is already completed as shown in the problem - statement.
b. 22.63%