The mean of the following frequency distribution is 132 and the

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 Multiple Choice QuestionsShort Answer Type

271.

Find the mean of the following frequency distribution.

Class-Interval

0-8

8-16

16-24

24-32

32-40

Frequency

8

10

15

9

8

 
111 Views

 Multiple Choice QuestionsLong Answer Type

272.

Find the value of P, if the mean of the following distribution is 18.

x:

13

15

17

19

20 + p

23

f:

8

2

3

4

5p

1602 Views

 Multiple Choice QuestionsShort Answer Type

273.

The following table shows markes scored by 140 students in a examinations.

Marks

0-10

10-20

20-30

30-40

40-50

No. of Sutdents

20

24

40

36

20

 

Calculate mean marks by using assumed mean method.
142 Views

274.

Find the mean of the following data

Class-lnterval

15-25

25-35

35-45

45-55

55-65

Frequency

60

35

22

18

15

139 Views

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275.

The following table represents the wages of 50 workers in a factory.

Wages (in Rs.)

1450

1475

1500

1525

1550

No. of workers

12

13

7

10

8


Find the average wage of a workers.
108 Views

 Multiple Choice QuestionsLong Answer Type

276.

The following table represents the expenditure on the usage of water by 70 families in a locality. Find the average expenditure per family.

Exp. water (in Rs.)

15-20

20-25

25-30

30-35

35-40

40-45

45-50

50-55

No. of families

7

8

7

8

10

15

7

8

 
101 Views

 Multiple Choice QuestionsShort Answer Type

277.

The following table shows marks scored by 140 students in an examination.

Marks

0-10

10-20

20-30

30-40

40-50

No. of students

20

24

40

36

20

Calculate mean marks by Step Deviation Method.

332 Views

 Multiple Choice QuestionsLong Answer Type

278.

The mean of the following frequency distribution is 62.8 and the sum of all frequencies is 50. Compute the missing frequency f1 and f2.

C.I.

0-20

20-40

40-60

60-80

80-100

100-120

Total

f

5

f1

10

f2

7

8

50

2780 Views

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279.

The mean of the following frequency distribution is 132 and the sum of observations is 50. Find the missing frequency f1 and f2.

Class

0-40

40-80

80-120

120-160

160-200

200-240

Freq.

4

7

f1

12

f2

9



Here, we have                      A (assumed mean) = 100

Here, we have                     sum from blank to blank of f subscript i space equals space 50 comma space sum from blank to blank of f subscript i u subscript i space equals space 2 f subscript 2 space plus space 24 comma space A (assumed mean) = 100
                                          
                                          top enclose straight x space equals space 132 space a n d space h space equals space 40

It is given that                      sum from blank to blank of f subscript i space equals space 50
rightwards double arrow                           f1 + f2 + 32 = 50
rightwards double arrow                              f+ f = 18

Now,                       top enclose straight x space equals space A plus fraction numerator begin display style sum from blank to blank of end style f subscript i u subscript i over denominator begin display style sum from blank to blank of end style f subscript i end fraction cross times h

rightwards double arrow                       132 = 100 + fraction numerator 24 plus 2 straight f subscript 2 over denominator 50 end fraction cross times 40

rightwards double arrow                        132 = 100 + fraction numerator 4 left parenthesis 2 straight f subscript 2 plus 24 right parenthesis over denominator 5 end fraction

rightwards double arrow                       132 = fraction numerator 500 plus 8 straight f subscript 2 plus 96 over denominator 5 end fraction
rightwards double arrow                    132 x 5 = 8f+ 596
rightwards double arrow                     660 = 8f+ 596
rightwards double arrow                      8f = 64
rightwards double arrow                       f= 8
Putting this value in (i), we get

                     straight f subscript 1 plus 8 space equals space 18
rightwards double arrow                f = 10
Hence.           f= 10,  f2 = 8


1145 Views

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280.

The mean of the following frequency table is 53. But the frequencies f1 and f2 in the classes 20-40 and 60-80 arc missing. Find the missing frequencies.   

Age (in years)

0-20

20-40

40-60

60-80

80-100

Total

Number of people

15

f1

21

f2

17

100

3182 Views

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