Question
A survey explored the relationship between gender and band class. Identify a reasonable conclusion among the following.
- There are more band members than non-band members
- There are more boys in the class than girls
- There are more boys in band than not in band
- More than half of the band's members in the class are girls
Hint:
Data is a collection of information, which can be presented in many forms. One of them is tabular form in which data can be analysed and it helps to understand the data. Here, we have to find the percentage/ relative frequency using the data given in the table.
The correct answer is: More than half of the band's members in the class are girls
In the question a table is given using which we have to identify a reasonable conclusion.
In option a it is given that there are more band members than non- band members.
According to the table, the number of students in band= 12
Number of students not in band= 14
Here, the option is incorrect.
In option b it is given that there are more boys in the class than girls.
According to the given table,
Number of girl students= 13
Number of boy students= 13
Here, option b is incorrect.
In option c it is given that there are more boys in the band than not in band.
According to the given table,
Number of boys in band= 4
Number of boys not in band= 9
Here, the option is incorrect.
In option d it is given that more than half of the band's members are girls.
According to the given table,
Total number of students in band= 12
Number of boys in the band= 4
Number of girls in the band= 8
From the above data we can say that the more than half of the band's members are girls.
Therefore the correct option is d, i.e., more than half of the band's members are girls.
Conclusion of the data given in the table can be derived from the information provided in the table.
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