Question

the table shows the results of a survey about the number of family members per student.
number of family members
8 3 7 6 2 2
6 2 5 2 5 3
find the median number of family members per student.
__ family members

Explanation:

Step1: Count total survey responses

Add all the frequencies: $6+2+5+2+5+3 = 23$

Step2: Find median position

Calculate position: $\frac{23+1}{2} = 12$

Step3: Cumulate frequencies to find 12th value

• Cumulate for 2 members: $3$
• Cumulate for 3 members: $3+2=5$
• Cumulate for 5 members: $5+5=10$
• Cumulate for 6 members: $10+2=12$

The 12th value falls in the 6 family members group.

Answer:

6 family members