The following table gives the literacy rate ( | vedclass

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(D) To find the class marks $(x_i)$,the following relation is used:$x_i = \frac{	ext{Upper class limit} + 	ext{Lower class limit}}{2}$Class size $(h

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$69.43$

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(D) To find the class marks $(x_i)$,the following relation is used:$x_i = \frac{	ext{Upper class limit} + 	ext{Lower class limit}}{2}$Class size $(h)$ for this data $= 10$.Taking $70$ as the assumed mean $(a)$,$d_i$,$u_i$,and $f_i u_i$ are calculated as follows:Literacy rate (in $\%$)Number of cities $(f_i)$$x_i$$d_i = x_i - 70$$u_i = \frac{d_i}{10}$$f_i u_i$$45-55$$3$$50$$-20$$-2$$-6$$55-65$$10$$60$$-10$$-1$$-10$$65-75$$11$$70$$0$$0$$0$$75-85$$8$$80$$10$$1$$8$$85-95$$3$$90$$20$$2$$6$Total$\sum f_i = 35$$\sum f_i u_i = -2$From the table,we obtain:$\sum f_i = 35$$\sum f_i u_i = -2$Mean,$\bar{x} = a + \left(\frac{\sum f_i u_i}{\sum f_i}ight) 	imes h$$= 70 + \left(\frac{-2}{35}ight) 	imes 10$$= 70 - \frac{20}{35}$$= 70 - \frac{4}{7}$$= 70 - 0.5714...$$\approx 69.43$Therefore,the mean literacy rate is $69.43 \%$.

Number of cars	$0-10$	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$7$	$14$	$13$	$12$	$20$	$11$	$15$	$8$

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

Number of heartbeats per minute	$65$-$68$	$68$-$71$	$71$-$74$	$74$-$77$	$77$-$80$	$80$-$83$	$83$-$86$
Number of women	$2$	$4$	$3$	$8$	$7$	$4$	$2$

Profit (Rs in lakhs)	Number of shops (frequency)
More than or equal to $5$	$30$
More than or equal to $10$	$28$
More than or equal to $15$	$16$
More than or equal to $20$	$14$
More than or equal to $25$	$10$
More than or equal to $30$	$7$
More than or equal to $35$	$3$

The following table gives the literacy rate (in percentage) of $35$ cities. Find the mean literacy rate.
Literacy rate (in $\%$) $45-55$ $55-65$ $65-75$ $75-85$ $85-95$
Number of cities $3$ $10$ $11$ $8$ $3$

Similar Questions

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.

The wickets taken by a bowler in $10$ cricket matches are as follows:
$2, 6, 4, 5, 0, 2, 1, 3, 2, 3$
Find the mode of the data.

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Literacy rate (in $\%$)	$45-55$	$55-65$	$65-75$	$75-85$	$85-95$
Number of cities	$3$	$10$	$11$	$8$	$3$

The following table gives the literacy rate (in percentage) of $35$ cities. Find the mean literacy rate.Literacy rate (in $\%$)$45-55$$55-65$$65-75$$75-85$$85-95$Number of cities$3$$10$$11$$8$$3$