The given distribution shows the number of ru | vedclass

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Question

(D) From the given data,the maximum class frequency is $18$,which corresponds to the class interval $4000-5000$.Therefore,the modal class is $4000-500

Vedclass · Accepted Answer

$4608.7$

Vedclass · Answer

(D) From the given data,the maximum class frequency is $18$,which corresponds to the class interval $4000-5000$.Therefore,the modal class is $4000-5000$.Lower limit $(l)$ of the modal class $= 4000$.Frequency $(f_1)$ of the modal class $= 18$.Frequency $(f_0)$ of the class preceding the modal class $= 4$.Frequency $(f_2)$ of the class succeeding the modal class $= 9$.Class size $(h) = 1000$.The formula for mode is:$	ext{Mode} = l + \left( \frac{f_1 - f_0}{2f_1 - f_0 - f_2} ight) 	imes h$Substituting the values:$	ext{Mode} = 4000 + \left( \frac{18 - 4}{2(18) - 4 - 9} ight) 	imes 1000$$	ext{Mode} = 4000 + \left( \frac{14}{36 - 13} ight) 	imes 1000$$	ext{Mode} = 4000 + \left( \frac{14}{23} ight) 	imes 1000$$	ext{Mode} = 4000 + \frac{14000}{23}$$	ext{Mode} = 4000 + 608.695...$$	ext{Mode} \approx 4608.7$Therefore,the mode of the given data is $4608.7$ runs.

Runs scored	Number of batsmen
$3000-4000$	$4$
$4000-5000$	$18$
$5000-6000$	$9$
$6000-7000$	$7$
$7000-8000$	$6$
$8000-9000$	$3$
$9000-10000$	$1$
$10000-11000$	$1$

Production yield (in kg/ha)	Number of farms
$50-55$	$2$
$55-60$	$8$
$60-65$	$12$
$65-70$	$24$
$70-75$	$38$
$75-80$	$16$

Daily pocket allowance (in $Rs.$)	$11-13$	$13-15$	$15-17$	$17-19$	$19-21$	$21-23$	$23-25$
Number of children	$7$	$6$	$9$	$13$	$f$	$5$	$4$

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

Number of mangoes	$50$-$52$	$53$-$55$	$56$-$58$	$59$-$61$	$62$-$64$
Number of boxes	$15$	$110$	$135$	$115$	$25$

Similar Questions

The following table gives the production yield per hectare of wheat of $100$ farms of a village.
Production yield (in kg/ha) Number of farms
$50-55$ $2$
$55-60$ $8$
$60-65$ $12$
$65-70$ $24$
$70-75$ $38$
$75-80$ $16$

Change the distribution to a 'more than type' distribution,and draw its ogive.

The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is $Rs. 18$. Find the missing frequency $f$.
Daily pocket allowance (in $Rs.$) $11-13$ $13-15$ $15-17$ $17-19$ $19-21$ $21-23$ $23-25$
Number of children $7$ $6$ $9$ $13$ $f$ $5$ $4$

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.

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Concentration of $SO_{2}$ (in $ppm$)	Frequency
$0.00-0.04$	$4$
$0.04-0.08$	$9$
$0.08-0.12$	$9$
$0.12-0.16$	$2$
$0.16-0.20$	$4$
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The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.Runs scoredNumber of batsmen$3000-4000$$4$$4000-5000$$18$$5000-6000$$9$$6000-7000$$7$$7000-8000$$6$$8000-9000$$3$$9000-10000$$1$$10000-11000$$1$Find the mode of the data.