Given below is the distribution of total household expenditure of 200 manual workers in a city.
$\begin{matrix} Expenditure (in Rs.) & No. of manual workers 1000 - 1500 & 24 1500 - 2000 & 40 2000 - 2500 & 31 2500 - 3000 & 28 3000 - 3500 & 32 3500 - 4000 & 23 4000 - 4500 & 17 4500 - 5000 & 5 \end{matrix}$
Find the expenditure done by maximum number of manual workers.

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Solution

As the class 1500 – 2000 has the maximum frequency, so it is the modal class:

Therefore,
l=1500, h=500, f=40 and f1=24 and f2=31

Mode
Mode = l +[h×(f−f1)/(2f−f1−f2)]

=1500+[500×{(40−24)/(2×40−24−31)}]

= 1500 + (500 x 16/25)

= (1500+320) = Rs 1820

Hence, the average expenditure done by maximum number of workers = Rs. 1820

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Similar questions

Q. Given below is the distribution of total household expenditure of 200 manual workers in a city:

Expenditure (in Rs)	No. of manual workers
1000-1500	24
1500-2000	40
2000-2500	31
2500-3000	28
3000-3500	32
3500-4000	23
4000-4500	17
4500-5000	5

Find the expenditure done by maximum number of manual workers.

Q. The following data gives the distribution of total monthly household expenditure of 200 families of a villages. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:

Expenditure (in Rs.)	Frequency	Expenditure (in Rs.)	Frequency
1000−1500 1500−2000 2000−2500 2500−3000	24 40 33 28	3000−3500 3500−4000 4000−4500 4500−5000	30 22 16 7

Q. The following data gives the distribution of total monthly household expenditure of

200

families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:

Expenditure (in C)	Number of families
$1000 - 1500$	$24$
$1500 - 2000$	$40$
$2000 - 2500$	$33$
$2500 - 3000$	$28$
$3000 - 3500$	$30$
$3500 - 4000$	$22$
$4000 - 4500$	$16$
$4500 - 5000$	$7$

Question 3
The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure.

$\begin{matrix} Expenditure (in Rs) & Number of families 1000 - 1500 & 24 1500 - 2000 & 40 2000 - 2500 & 33 2500 - 3000 & 28 3000 - 3500 & 30 3500 - 4000 & 22 4000 - 4500 & 16 4500 - 5000 & 7 \end{matrix}$

Q. The following data gives the distribution of total monthly household expenditure of

200

families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure.

Expenditure (in Rs.)	Frequency	Expenditure (in Rs.)	Frequency
1000-1500	$24$	3000-3500	$30$
1500-2000	$40$	3500-4000	$22$
2000-2500	$33$	4000-4500	$16$
2500-3000	$28$	4500-5000	$7$

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