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Walmart supermarket recorded the length of time, to the nearest hour, that a sample of $100$ cars was parked in their lot. What is the average time a car is parked?

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20

hours

31

hours

25

hours

27

hours

answer is B.

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Detailed Solution

It is given a sample of

100

cars were parked in their lot.

We convert the data in terms of the following expression.

x_{i} = \frac{lower limit + upper limit}{2}

Class Interval	$x_{i}$	$(f_{i})$	${(x}_{i}) \times (f_{i}) = (x_{i} f_{i})$
5 - 15	10	20	200
15 - 25	20	30	600
25 - 35	30	15	450
35 - 45	40	12	480
45 - 55	50	6	300
55 - 65	60	17	1020
		$Σ f_{i} = 100$	$Σ f_{i} x_{i} = 3050$

From the table, we get

Σ f_{i} = 100

Σ f_{i} x_{i} = 3050

We know that,
Average =

\frac{Σ f_{i} x_{i}}{Σ f_{i}}

\Rightarrow Average = \frac{3050}{100}

\Rightarrow Average = 30.5 \approx 31

Thus, the average of the data is 31.
Hence, the correct option is 2.

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Walmart supermarket recorded the length of time, to the nearest hour, that a sample of 100 cars was parked in their lot. What is the average time a car is parked?

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Walmart supermarket recorded the length of time, to the nearest hour, that a sample of $100$ cars was parked in their lot. What is the average time a car is parked?