160 people are asked how many siblings they have? the (incomplete) results are shown below (please use 4…

160 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 29 1 36 0.225 65 2 0.2 97 3 38 0.2375 135 4 25 0.1563 160 complete the table and determine what percent of the people have exactly three sibling(s)?

160 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 29 1 36 0.225 65 2 0.2 97 3 38 0.2375 135 4 25 0.1563 160 complete the table and determine what percent of the people have exactly three sibling(s)?

Answer

Explanation:

Step1: Calculate relative frequency for 0 siblings

Relative frequency = $\frac{\text{Frequency}}{\text{Total number of people}}$. Total number of people is 160. For 0 siblings, frequency is 29. So relative frequency = $\frac{29}{160}= 0.18125\approx0.1813$.

Step2: Calculate cumulative frequency for 0 siblings

Cumulative frequency for 0 siblings is just the frequency of 0 siblings, which is 29.

Step3: Calculate frequency for 2 siblings

Since relative - frequency for 2 siblings is 0.2 and total number of people is 160, frequency = $0.2\times160 = 32$.

Step4: Calculate percentage of people with 3 siblings

Relative frequency of people with 3 siblings is 0.2375. To convert to percentage, multiply by 100. So percentage = $0.2375\times100 = 23.75%$.

Answer:

# of Siblings Frequency Relative Frequency Cumulative Frequency
0 29 0.1813 29
1 36 0.2250 65
2 32 0.2000 97
3 38 0.2375 135
4 25 0.1563 160
The percent of people with exactly three siblings is 23.75%