The table below shows the daily expenditure o | vedclass

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(A) To find the class mark $(x_{i})$ for each interval,the following relation is used:$x_{i} = \frac{	ext{Upper class limit} + 	ext{Lower class limi

Vedclass · Accepted Answer

$211$

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(A) To find the class mark $(x_{i})$ for each interval,the following relation is used:$x_{i} = \frac{	ext{Upper class limit} + 	ext{Lower class limit}}{2}$Class size $(h) = 50$.Taking $225$ as the assumed mean $(a)$,we calculate $d_i$,$u_i$,and $f_iu_i$ as follows:Daily expenditure (in $Rs.$)$f_{i}$$x_{i}$$d_{i} = x_{i} - 225$$u_{i} = \frac{d_{i}}{50}$$f_{i}u_{i}$$100-150$$4$$125$$-100$$-2$$-8$$150-200$$5$$175$$-50$$-1$$-5$$200-250$$12$$225$$0$$0$$0$$250-300$$2$$275$$50$$1$$2$$300-350$$2$$325$$100$$2$$4$Total$\Sigma f_{i} = 25$$\Sigma f_{i}u_{i} = -7$Using the step-deviation method:Mean $(\bar{x}) = a + \left(\frac{\Sigma f_{i}u_{i}}{\Sigma f_{i}}ight) 	imes h$$\bar{x} = 225 + \left(\frac{-7}{25}ight) 	imes 50$$\bar{x} = 225 + (-7 	imes 2)$$\bar{x} = 225 - 14 = 211$Therefore,the mean daily expenditure on food is $Rs. 211$.

Class	$1-3$	$3-5$	$5-7$	$7-10$
Frequency	$9$	$22$	$27$	$17$

The table below shows the daily expenditure on food of $25$ households in a locality.
Daily expenditure (in $Rs.$) $100-150$ $150-200$ $200-250$ $250-300$ $300-350$
Number of households $4$ $5$ $12$ $2$ $2$

Find the mean daily expenditure on food by a suitable method.

Similar Questions

In the formula $\bar{x} = A + \frac{\Sigma f_{i} u_{i}}{\Sigma f_{i}} \times c$,$u_{i} =$ .........

The mean of $15$ observations is $16$. If $2$ is added to each observation and then each result is divided by $3$,the new mean is:

In a maths test taken by $35$ students,the average score of $15$ girls is $10$ and that of $20$ boys is also $10$. Which of the following can be calculated based on the data we have?

Find the mean of the distribution:

Class $1-3$ $3-5$ $5-7$ $7-10$

Frequency $9$ $22$ $27$ $17$

Calculate the mean of the following frequency distribution:

Class $80-90$ $90-100$ $100-110$ $110-120$ $120-130$ $130-140$ $140-150$ $150-160$ $160-170$

Frequency $6$ $18$ $78$ $80$ $100$ $72$ $0$ $40$ $6$
(in $.55$)

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Daily expenditure (in $Rs.$)	$100-150$	$150-200$	$200-250$	$250-300$	$300-350$
Number of households	$4$	$5$	$12$	$2$	$2$

The table below shows the daily expenditure on food of $25$ households in a locality.Daily expenditure (in $Rs.$)$100-150$$150-200$$200-250$$250-300$$300-350$Number of households$4$$5$$12$$2$$2$Find the mean daily expenditure on food by a suitable method.