170 people are asked how many siblings they have?
# of Siblings | Frequency | Relative Frequency | Cumulative Frequency |
0 | 37 | 0.2176 | 37 |
1 | 25 | 0.1471 | |
2 | 0.2 | 96 | |
3 | 31 | 127 | |
4 | 43 | 0.2529 | 170 |
a. Complete the table (Use 4 decimal places when applicable)
b. What percent of the people have exactly four siblings? %
Hint: Frequency Tables
Answer a)
Following is the completed table:
Explanation:
Relative Frequency = Frequency/Total Participants
So we can calculate frequency for 1 sibling as follows:
0.2 = Frequency/170
Frequency = 170*0.2 = 34
So we can calculate relative frequency for 3 siblings as follows:
Relative Frequency = 31/170 = 0.1824
Cumulative Frequency for 1 sibling = Frequency for 0 sibling + Frequency for 1 sibling
Cumulative Frequency for 1 sibling = 37+25 = 62
Answer b)
Out of 170 people, 43 people have 4 siblings.
Percentage of people have exactly four siblings = (43/170)*100 = 25.29%
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