Question

180 people are asked how many siblings they have?
the (incomplete) results are shown below (please use 4 decimal places when apply):

of siblings | frequency | relative frequency | cumulative frequency

0 | 100 | 0.2278 | 41
1 | 37 | 0.2056 | 78
2 | 31 | 0.1722 | 109
3 | 42 | 0.2333 | 151
4 | 29 | |
complete the table and determine what percent of the people have exactly three sibling(s)? %
hint

Explanation:

For the Relative Frequency of 4 siblings:

Step1: Recall relative frequency formula

Relative Frequency = $\frac{\text{Frequency}}{\text{Total Number of Observations}}$
Total number of people is 180, frequency for 4 siblings is 29.

Step2: Calculate relative frequency

Relative Frequency = $\frac{29}{180} \approx 0.1611$

For the Cumulative Frequency of 4 siblings:

Step1: Recall cumulative frequency definition

Cumulative Frequency is the sum of frequencies up to that point.
Previous cumulative frequency (for 3 siblings) is 151, frequency for 4 siblings is 29.

Step2: Calculate cumulative frequency

Cumulative Frequency = $151 + 29 = 180$

For the percentage of people with exactly three siblings:

Step1: Recall percentage from relative frequency

Percentage = Relative Frequency $\times 100\%$
Relative frequency for 3 siblings is 0.2333.

Step2: Calculate percentage

Percentage = $0.2333 \times 100\% = 23.33\%$ (or using frequency: $\frac{42}{180} \times 100\% = 23.33\%$)

Answer:

s:

• Relative Frequency for 4 siblings: $0.1611$
• Cumulative Frequency for 4 siblings: $180$
• Percentage of people with exactly three siblings: $23.33\%$