Walmart supermarket recorded the length of time, to the nearest hour, that a sample of $100$ cars was parked in their lot. Estimate the average hour using direct method.

20

hours

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31

hours

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25

hours

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27

hours

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Solution

The correct option is B $31$ hours
Answer:-
Representing the data into frequency distribution table.

Daily Pocket allowance No. of workers $x_{i}$ $f_{i} x_{i}$
5-15 20 10 200
15-25 30 20 600
25-35 15 30 450
35-45 12 40 480
45-55 6 50 300
55-65 17 60 1020

$Σ f_{i} = 100$ $Σ f_{i} x_{i} = 3050$
$∴ M e a n = \frac{Σ f_{i} x_{i}}{Σ f_{i}} = \frac{3050}{100} = 30.5 ≃ 31$
The average hours are 31.

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$\begin{matrix} 4 h o u r s & R s . 60 8 h o u r s & R s .100 12 h o u r s & R s .140 24 h o u r s & R s .180 \end{matrix}$

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Daily Pocket allowance	No. of workers	$x_{i}$	$f_{i} x_{i}$
5-15	20	10	200
15-25	30	20	600
25-35	15	30	450
35-45	12	40	480
45-55	6	50	300
55-65	17	60	1020

	$Σ f_{i} = 100$		$Σ f_{i} x_{i} = 3050$

Walmart supermarket recorded the length of time, to the nearest hour, that a sample of 100 cars was parked in their lot. Estimate the average hour using direct method.

Walmart supermarket recorded the length of time, to the nearest hour, that a sample of $100$ cars was parked in their lot. Estimate the average hour using direct method.