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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.

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$109$

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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 $109.92$.

Area of land (in hectares)	$1-3$	$3-5$	$5-7$	$7-9$	$9-11$	$11-13$
Number of families	$20$	$45$	$80$	$55$	$40$	$12$

Weight (in $g$)	Number of packets
$200-201$	$12$
$201-202$	$26$
$202-203$	$20$
$203-204$	$9$
$204-205$	$2$
$205-206$	$1$

Class	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$
Frequency	$6$	$f_1$	$20$	$15$	$f_2$	$4$

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 $.92$)

Similar Questions

The frequency distribution table of agricultural holdings in a village is given below:

Area of land (in hectares) $1-3$ $3-5$ $5-7$ $7-9$ $9-11$ $11-13$

Number of families $20$ $45$ $80$ $55$ $40$ $12$

Find the modal agricultural holdings of the village (in hectares).

The weight of coffee in $70$ packets is shown in the following table:

Weight (in $g$) Number of packets

$200-201$ $12$

$201-202$ $26$

$202-203$ $20$

$203-204$ $9$

$204-205$ $2$

$205-206$ $1$

Determine the modal weight (in $g$).

$\frac{Z-M}{M-\bar{x}}=\ldots \ldots \ldots \ldots$

The mean of the following frequency distribution is $28.5$ and the total frequency is $60$. Find the missing frequencies $f_{1}$ and $f_{2}$.

Class $0-10$ $10-20$ $20-30$ $30-40$ $40-50$ $50-60$

Frequency $6$ $f_1$ $20$ $15$ $f_2$ $4$

The formula $\ldots \ldots$ represents the empirical relationship between the measures of central tendency.

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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 $.92$)