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(A) To find the mean number of seats occupied,we use the assumed mean method. First,we calculate the class mark $(x_i)$ for each class interval.

Vedclass · Accepted Answer

$109$

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(A) To find the mean number of seats occupied,we use the assumed mean method. First,we calculate the class mark $(x_i)$ for each class interval.						Number of seats			Class marks $(x_i)$			Frequency $(f_i)$			Deviation $d_i = x_i - a$			$f_i d_i$							$100-104$			$102$			$15$			$-8$			$-120$							$104-108$			$106$			$20$			$-4$			$-80$							$108-112$			$a=110$			$32$			$0$			$0$							$112-116$			$114$			$18$			$4$			$72$							$116-120$			$118$			$15$			$8$			$120$							Total			-			$\Sigma f_i = 100$			-			$\Sigma f_i d_i = -8$			Assumed mean $(a) = 110$.Using the formula for the mean by assumed mean method:$\bar{x} = a + \frac{\Sigma f_i d_i}{\Sigma f_i}$$\bar{x} = 110 + \left(\frac{-8}{100}\right)$$\bar{x} = 110 - 0.08 = 109.92$Thus,the mean number of seats occupied is $109.92$.

An aircraft has $120$ passenger seats. The number of seats occupied during $100$ flights is given in the following table:

Number of seats $100-104$ $104-108$ $108-112$ $112-116$ $116-120$

Frequency $15$ $20$ $32$ $18$ $15$

Determine the mean number of seats occupied over the flights. (in $.92$)

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Number of seats	$100-104$	$104-108$	$108-112$	$112-116$	$116-120$
Frequency	$15$	$20$	$32$	$18$	$15$

An aircraft has $120$ passenger seats. The number of seats occupied during $100$ flights is given in the following table: Number of seats $100-104$ $104-108$ $108-112$ $112-116$ $116-120$ Frequency $15$ $20$ $32$ $18$ $15$ Determine the mean number of seats occupied over the flights. (in $.92$)