QUESTION IMAGE
Question
190 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 40 0.2105 40
1 41 0.2158 81
2 0.1526 110
3 41 0.2158
4 39 190
complete the table and determine what percent of the people have exactly four sibling(s)?
hint
Step1: Find Frequency for 2 siblings
Cumulative Frequency for 2 is 110, and for 1 is 81. So Frequency = 110 - 81 = 29.
Step2: Find Cumulative Frequency for 3 siblings
Cumulative Frequency for 2 is 110, Frequency for 3 is 41. So Cumulative Frequency = 110 + 41 = 151.
Step3: Find Relative Frequency for 4 siblings
Total people is 190, Frequency for 4 is 39. Relative Frequency = $\frac{39}{190}$ ≈ 0.2053.
Step4: Find percentage for 4 siblings
Multiply relative frequency by 100: 0.2053 * 100 = 20.53%.
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The percentage of people with exactly four siblings is 20.53% (or using the relative frequency calculation: $\frac{39}{190} \times 100 \approx 20.5263\%$ which rounds to 20.53% when using four decimal places for the relative frequency calculation). If we use the more precise relative frequency of $\frac{39}{190} \approx 0.205263$, then the percentage is approximately 20.53%.