Question

d.i.ys:
name:
1-1: there are 65 grade 12 students. of these students, 23 play volleyball and 26 play basketball. there are 31 students who do not play either sport. create a venn diagram to represent this situation.

Explanation:

Step1: Find students playing at least one sport

Total students: $65$, non-players: $31$
Expression: $65 - 31 = 34$

Step2: Calculate overlap of both sports

Volleyball: $23$, Basketball: $26$, total players: $34$
Expression: $23 + 26 - 34 = 15$

Step3: Find volleyball-only players

Volleyball total minus overlap
Expression: $23 - 15 = 8$

Step4: Find basketball-only players

Basketball total minus overlap
Expression: $26 - 15 = 11$

Answer:

The Venn diagram will have:

• A left circle (Volleyball) with two sections: 8 (volleyball only) and 15 (both sports)
• A right circle (Basketball) with two sections: 11 (basketball only) and 15 (both sports)
• A region outside both circles labeled 31 (students who play neither sport)
• The total number of students across all regions is 65.