In: Statistics and Probability
A study was conducted on a sample randomly selected from city A. The results are presented in
the table. Based on the information in the table answer the below questions:
Age groups Number of participants Proportion of female Relative frequency of
participants
15 years or younger 10 0.4
16-25 years 25 0.6
26-30 years 10 1.0
31 years or older 2 1.0
Are the age groups mutually exclusive?
Based on the number of participants, can you argue for or against this sample being
representative of the age groups in city A?
How many males and females were included in the study?
Calculate the relative frequencies in the first right column.
Age group |
Number of Participants |
Proportion of female |
Relative frequency |
15 years or younger |
10 |
0.4 |
0.213 |
16-25 years |
25 |
0.6 |
0.532 |
26-30 years |
10 |
1.0 |
0.213 |
31 years or older |
2 |
1.0 |
0.042 |
The relative frequency can be calculated as Relative frequency=number of participantstotal number of participants
Yes, the age groups are mutually exclusive.
The above sample is not the representative of the age groups in the city.