Question

luna is a lifeguard and works for three aquatic centers and private pool parties for family friends as well. the following represents the hours worked and pay given by each employers.

employer	hours worked	pay per hour	total pay
sea n sun	20	$15	300
sunsations	16	$14	224
givens family	5	$22	110
tan family	4	$56	4mmt?

bimodal? _____________

Explanation:

Step1: Calculate Total Pay for Aquatica

Total Pay = Hours worked × Pay per hour = $25\times12 = 300$

Step2: Calculate Total Pay for Sea n Sun

Total Pay = $20\times15 = 300$

Step3: Calculate Total Pay for Sunsations

Total Pay = $16\times14 = 224$

Step4: Calculate Total Pay for Givens Family

Total Pay = $5\times22 = 110$

Step5: Calculate Total Pay for Tan Family

Total Pay = $4\times56 = 224$

Step6: Analyze Frequencies of Total Pay

• 300 appears 2 times.
• 224 appears 2 times.
• 110 appears 1 time.

A bimodal distribution has two modes (most frequently occurring values). Here, 300 and 224 both occur with the highest frequency (2 times), so the distribution of total pay is bimodal.

Answer:

Yes (because two values, 300 and 224, each occur twice, which are the highest frequencies)