Question

The table below shows the results of a random sample of 160 teenagers. Based on the information given which of the following statement are true? Select all that apply

Answer 1

I would say that it is all of them besides the 35% of the participants do not like to surf.

Answer 2

The correct statements are:

• 66% of the participants were boys.

• 80/105 of the boys like to surf.

• 10/35 of the participants who do not like to surf were girls.

Explanation:

A)

The total number of students who were studied= 160

Number of boys= 105

Hence, Percentage of boys is calculated as:

`Percent\ Boys=(105)/(160)* 100\\\\i.e.\\\\Percent\ Boys=(1050)/(16)\\\\\\Percent\ Boys=65.625\\\\which\ is\ approximately\ equal\ to:\\\\Percent\ Boys=66\%`

B)

Number of students who like to surf=125

Hence,

Percent who like to surf is calculated as:

`=(125)/(160)* 100\\\\\\=(1250)/(16)\\\\=78.125\%`

C)

Number of boys=105

and number of boys who like to surf=80

Hence, the proportion of boys who like to surf is:

80/105

D)

Number of people who do not like to surf=35

Number of girls who do not like to surf=10

Hence,the proportion of girls who do not like to surf is:

10/35

E)

Proportion of boys who like to surf=80/105=0.76190

and proportion of boys who like to surf= 45/55=0.8181

Hence, the proportion of girls who like to surf are more than those of boys who like to surf.

( Since, 0.8181 < 0.76190 )