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

170 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 32 0.1882 32 1 0.2294 71 2 37 0.2176 108 3 29 137 4 33 0.1941 complete the table and determine what percent of the people have exactly zero sibling(s)?

170 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 32 0.1882 32 1 0.2294 71 2 37 0.2176 108 3 29 137 4 33 0.1941 complete the table and determine what percent of the people have exactly zero sibling(s)?

Answer

Explanation:

Step1: Find frequency of 1 sibling

We know that cumulative frequency of 1 sibling is 71 and cumulative frequency of 0 sibling is 32. So the frequency of 1 sibling is $71 - 32=39$.

Step2: Find relative frequency of 3 siblings

Relative frequency = $\frac{\text{Frequency}}{\text{Total number of people}}$. Total number of people is 170. Frequency of 3 siblings is 29. So relative frequency of 3 siblings is $\frac{29}{170}\approx0.1706$.

Step3: Find cumulative frequency of 4 siblings

Cumulative frequency of 4 siblings is the sum of all frequencies up to 4 siblings. Since cumulative frequency of 3 siblings is 137 and frequency of 4 siblings is 33, the cumulative frequency of 4 siblings is $137 + 33 = 170$.

Step4: Find percentage of people with 0 siblings

Relative frequency of people with 0 siblings is 0.1882. To convert to percentage, we multiply by 100. So the percentage is $0.1882\times100 = 18.82%$.

Answer:

# of Siblings Frequency Relative Frequency Cumulative Frequency
0 32 0.1882 32
1 39 0.2294 71
2 37 0.2176 108
3 29 0.1706 137
4 33 0.1941 170

The percentage of people with exactly 0 siblings is 18.82%