Answer:
53.5 sec
Step-by-step explanation:
Given
Number of times Lucia ran the race=n=3
Slowest time= x_1=56.3 sec
Fastest Time= x_2=52.2 sec
Average time=54.0 sec
Since, we know the average time and two of the three race times, we can use the average formula to calculate the third race’s time.
Let
x_3=the third race^' s time
So,
Average=(Sum of values)/(Number of values)
Average = (x_1+ x_2+ x_3)/n
Putting the values
54.0= (56.3+ 52.2+ x_3)/3
Multiplying 3 with 54.0 and adding 56.3 and 52.2
162= 56.3+52.2+ x_3
162= 108.5+ x_3
x_(3 )=162-108.5
x_(3 )=53.5 sec
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