The following table shows the monthly income of 20 families-Find the mean monthly income of those families- Monthly income Number of families f i X i X i f i - 2 40000- 4 200000- 5 500000- 6 450000- 3 180000 - 20000500001000007500060000A- Rs 68725B- Rs 68500C- Rs 68000D- Rs 69000

The correct option is B Rs 68500∑f_i = nbsp; 2 + 4 + 5 + 6 + 3 = 20 ∑f_ix_i = 40000 + 200000 + 500000 + 450000 + 180000 nbsp; = 1370000 Mean= nbsp; ∑f_ix ...

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Question

The following table shows the monthly income of 20 families.Find the mean monthly income of those families.

Monthly income
( $x_{i}$ ) Number of families
( $f_{i}$ ) $f_{i} x_{i}$

20000 2 40000

50000 4 200000

100000 5 500000

75000 6 450000

60000 3 180000

Rs 68000

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Rs 68725

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Rs 68500

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Rs 69000

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Solution

The correct option is C Rs 68500
$\sum f_{i} = 2 + 4 + 5 + 6 + 3 = 20$
$\sum f_{i} x_{i} = 40000 + 200000 + 500000 + 450000 + 180000$
$= 1370000$
Mean= $\frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{1370000}{20}$
= Rs. 68500

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Q. The following table shows the monthly income of 20 families. How many families have Rs 50000 as their monthly income.

Monthly income(Rs)	Number of families(frequency)
20,000	2
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1,00,000	5
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Q. The following table shows the monthly income of 20 families.Find the mean monthly income of those families.

Monthly income ( $x_{i}$ )	Number of families ( $f_{i}$ )	$f_{i} x_{i}$
20000	2	40000
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100000	5	500000
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Q. Answer the following questions in detail−

The following are the monthly income of 10 families in a village.

Calculate mean average income per family.
Rs 550, Rs 650, Rs 700, Rs 400, Rs 550,
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Q. In the following distribution :

Monthly income range (in Rs.)	Number of families
Income more than Rs. $10000$	$100$
Income more than Rs. $13000$	$85$
Income more than Rs. $16000$	$69$
Income more than Rs. $19000$	$50$
Income more than Rs. $22000$	$33$
Income more than Rs. $25000$	$15$

The numbers of families having income range (in Rs)

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is:

Q. The ratio of the monthly income to the saving of a family is

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The following table shows the monthly income of 20 families.Find the mean monthly income of those families. Monthly income (xi) Number of families (fi) fixi 20000 2 40000 50000 4 200000 100000 5 500000 75000 6 450000 60000 3 180000

The correct option is C Rs 68500∑fi=2+4+5+6+3=20 ∑fixi=40000+200000+500000+450000+180000 =1370000 Mean= ∑fixi∑fi=137000020 = Rs. 68500

The following table shows the monthly income of 20 families.Find the mean monthly income of those families.

Monthly income
( $x_{i}$ ) Number of families
( $f_{i}$ ) $f_{i} x_{i}$

20000 2 40000

50000 4 200000

100000 5 500000

75000 6 450000

60000 3 180000

The correct option is C Rs 68500
$\sum f_{i} = 2 + 4 + 5 + 6 + 3 = 20$
$\sum f_{i} x_{i} = 40000 + 200000 + 500000 + 450000 + 180000$
$= 1370000$
Mean= $\frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{1370000}{20}$
= Rs. 68500