Question

1. one hundred people were asked about their favorite sports.

part a
complete the two - way frequency table.

	males	females	total
basketball	21		50
total			100

part b
select all the true statements about this two - way frequency table.

• more males were surveyed than females.
• more females like soccer.
• an equal number of people like soccer and basketball.
• twice as many females than males like basketball.

Explanation:

(Part A):

Step1: Calculate males who like soccer

$50 - 31 = 19$

Step2: Calculate females who like basketball

$50 - 21 = 29$

Step3: Calculate total males

$19 + 21 = 40$

Step4: Calculate total females

$31 + 29 = 60$

(Part B):

• "More males were surveyed than females": False (40 males < 60 females).
• "More females like soccer": True (31 females > 19 males for soccer).
• "An equal number of people like soccer and basketball": True (both totals are 50).
• "Twice as many females than males like basketball": False (29 females ≠ 2×21 males).

Answer:

(Part A):

	Males	Females	Total
Basketball	21	29	50
Total	40	60	100