Answer :
Sure! Let's take a detailed look at each part of the question.
### 1.1 Method of Data Collection
The method of data collection used in this investigation is a survey. Surveys involve asking people to provide answers to a set of questions, usually written on a form.
### 1.3.1 Type of Data for Gender
Gender is considered categorical data. This is because gender is a category that does not have a numerical value associated with it. In this survey, the categories are male and female.
### 3.2 Number of Males and Females
- Males: 20
- Females: 25
This tells us the number of males and females who participated in the survey.
### 3.3 Proportion Feeling High Pressure
The statement "Two out of every five teenagers feel either a lot or an unbearable amount of pressure to achieve at school" can be understood in the following way:
- Total teenagers surveyed: 100 (assumed)
- Teenagers feeling a lot or unbearable pressure: 40
To check this statement:
- Calculate the proportion:
[tex]\[
\text{Proportion} = \frac{\text{Teenagers feeling pressure}}{\text{Total teenagers}} = \frac{40}{100} = 0.4
\][/tex]
This proportion, 0.4, matches with the fraction [tex]\(\frac{2}{5}\)[/tex], which is equivalent to 0.4. Hence, the statement by the counselor is accurate.
### 3.4 Pressure Experienced by Boys and Girls
To determine if boys and girls experience pressure differently, we examine their proportions:
- Boys feeling a lot or unbearable pressure: 18
- Girls feeling a lot or unbearable pressure: 22
- Proportion of boys feeling pressure:
[tex]\[
\text{Boys proportion} = \frac{18}{20} = 0.9
\][/tex]
- Proportion of girls feeling pressure:
[tex]\[
\text{Girls proportion} = \frac{22}{25} = 0.88
\][/tex]
Comparing 0.9 (boys) and 0.88 (girls), we see that the proportions are slightly different. Thus, boys and girls do not experience the pressure equally. Boys, in this scenario, have a slightly higher proportion feeling a lot or unbearable pressure.
In conclusion, the survey shows that while both boys and girls experience significant academic pressure, the levels are slightly higher among boys according to this data.
### 1.1 Method of Data Collection
The method of data collection used in this investigation is a survey. Surveys involve asking people to provide answers to a set of questions, usually written on a form.
### 1.3.1 Type of Data for Gender
Gender is considered categorical data. This is because gender is a category that does not have a numerical value associated with it. In this survey, the categories are male and female.
### 3.2 Number of Males and Females
- Males: 20
- Females: 25
This tells us the number of males and females who participated in the survey.
### 3.3 Proportion Feeling High Pressure
The statement "Two out of every five teenagers feel either a lot or an unbearable amount of pressure to achieve at school" can be understood in the following way:
- Total teenagers surveyed: 100 (assumed)
- Teenagers feeling a lot or unbearable pressure: 40
To check this statement:
- Calculate the proportion:
[tex]\[
\text{Proportion} = \frac{\text{Teenagers feeling pressure}}{\text{Total teenagers}} = \frac{40}{100} = 0.4
\][/tex]
This proportion, 0.4, matches with the fraction [tex]\(\frac{2}{5}\)[/tex], which is equivalent to 0.4. Hence, the statement by the counselor is accurate.
### 3.4 Pressure Experienced by Boys and Girls
To determine if boys and girls experience pressure differently, we examine their proportions:
- Boys feeling a lot or unbearable pressure: 18
- Girls feeling a lot or unbearable pressure: 22
- Proportion of boys feeling pressure:
[tex]\[
\text{Boys proportion} = \frac{18}{20} = 0.9
\][/tex]
- Proportion of girls feeling pressure:
[tex]\[
\text{Girls proportion} = \frac{22}{25} = 0.88
\][/tex]
Comparing 0.9 (boys) and 0.88 (girls), we see that the proportions are slightly different. Thus, boys and girls do not experience the pressure equally. Boys, in this scenario, have a slightly higher proportion feeling a lot or unbearable pressure.
In conclusion, the survey shows that while both boys and girls experience significant academic pressure, the levels are slightly higher among boys according to this data.
