Probability and Data Interpretation

The video tutorial explains how to use two-way tables to organize data into overlapping categories, such as gender and sports participation among Year 10 students. It covers calculating total numbers of students, females, and those playing sports. The tutorial then introduces basic probability concepts, including calculating the probability of selecting male students, those who play sports, and conditional probabilities based on given conditions. The video emphasizes understanding and applying these concepts using two-way tables.

What is the primary purpose of using two-way tables?

• To display data in a linear format

• To calculate the mean of a dataset

• To visually represent data in overlapping categories

• To organize data into non-overlapping categories

In the survey, how are Year 10 students categorized?

• By age and height

• By gender and sports participation

• By academic performance

• By attendance and grades

How many students are there in Year 10 according to the survey?

• 150

• 100

• 200

• 117

What is the total number of female students in the survey?

• 21

• 54

• 45

• 33

How many students play sports outside of school?

• 56

• 45

• 50

• 60

How many male students do not play sports?

• 33

• 28

• 35

• 21

What is the probability of randomly selecting a male student?

• 63/117

• 1/2

• 7/30

• 5/9

What is the probability of selecting a male student who plays sports?

• 5/18

• 1/3

• 7/30

• 35/117

What is the probability of selecting a student who is either female or plays sports?

• 89/117

• 1/2

• 7/9

• 3/4

What is the probability of selecting a student who plays sports given they are female?

• 21/54

• 5/9

• 7/18

• 1/3