The following tables gives the distribution of total household expenditure (in rupees) of manual workers in a city.

Expenditure
(in rupees) (x_i) Frequency
(f_i) Expenditure
(in rupees) (x_i) Frequency
(f_i)

100-150
150-200
200-250
250-300 24
40
33
28 300-350
350-400
400-450
450-500 30
22
16
7

Find the average expenditure (in rupees) per household

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Solution

Given:

Let the assumed mean be A = 275 and h = 50.

We know that mean,

Now, we have.

Putting the values in the above formula, we get

Hence, the average expenditureper household is 266.25.

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Similar questions

Q. The following table gives the distribution of total household expenditure (in rupees) of manual workers in a city:

Expenditure (in rupees ) ( $x$ )	Frequency ( $f$ )	Expenditure (in rupees) ( $x_{i})$	Frequency ( $f_{i}$ )
$100 - 150$	$24$	$300 - 350$	$30$
$150 - 200$	$40$	$350 - 400$	$22$
$200 - 250$	$33$	$400 - 450$	$16$
$250 - 300$	$28$	$450 - 500$	$7$

Find the average expenditure (in rupees) per household.

The following table gives the distribution of total household expenditure (in rupees) of manual workers in a city.
$\begin{matrix} Expenditure & Frequency & Expenditure & Frequency (in rupees) (x_{i}) & (f_{i}) & (in rupees) (x_{i}) & (f_{i}) 100 - 150 & 24 & 300 - 350 & 30 150 - 200 & 40 & 350 - 400 & 22 200 - 250 & 33 & 400 - 450 & 16 250 - 300 & 28 & 450 - 500 & 7 \end{matrix}$
Find the average expenditure (in rupees) per household.

Q. The following is the distribution of total household expenditure (in Rs.) of manual worker in a city:

Expenditure (in Rs):	100-150	150-200	200-250	250-300	300-350	350-400	400-450	450-500
No. of manual workers:	25	40	33	28	30	22	16	8

Draw a histogram and a frequency polygon representing the above data.

Q. The table below shows the daily expenditure of food of 30 households in a locality:

Daily expenditure (in Rs)	Number of households
100-150	6
150-200	7
200-250	12
250-300	3
300-350	2

Find the mean and median daily expenditare on food.

Q. The table given below shows the daily expenditure on food of 30 households in a locality:

Daily expenditure (in Rs)	Number of households
100-150	6
150-200	7
20-250	12
250-300	3
300-350	2

Find the mean and median of daily expenditure on food.

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Expenditure (in rupees) (x_i)	Frequency (f_i)	Expenditure (in rupees) (x_i)	Frequency (f_i)
100-150 150-200 200-250 250-300	24 40 33 28	300-350 350-400 400-450 450-500	30 22 16 7

Given: Let the assumed mean be A = 275 and h = 50. We know that mean, Now, we have. Putting the values in the above formula, we get Hence, the average expenditureper household is 266.25.

Given:

Let the assumed mean be A = 275 and h = 50.

We know that mean,

Now, we have.

Putting the values in the above formula, we get

Hence, the average expenditureper household is 266.25.