Find the value of P, if the mean of the following distribution i

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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

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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

6 


xi

fi

fixi

13

8

104

15

2

30

17

3

51

19

4

76

20 + p

5p

5p (20 + p)

23

6

138

 

Σfi = 23 + 5p

Σfixi = 399 + 5p2 + 100p

 

Here, we have                    top enclose straight x equals 18 comma space space sum from blank to blank of straight f space equals space 23 space plus space 5 straight p space and space sum from blank to blank of straight f subscript straight i straight x subscript straight i space equals 399 plus 5 straight p squared plus 100 straight p

Now,                                 top enclose straight x space equals space fraction numerator begin display style sum from blank to blank of end style f subscript i x subscript i over denominator begin display style sum from blank to blank of end style f subscript i end fraction equals fraction numerator 5 p squared plus 100 p plus 399 over denominator 5 p plus 23 end fraction

rightwards double arrow                                     18 equals fraction numerator 5 straight p squared plus 10 straight p plus 399 over denominator 5 straight p plus 23 end fraction
rightwards double arrow                      18(5p + 23) = 5p2 + 100p + 399
rightwards double arrow                      90p + 414 = 5p2 + 100p + 399
rightwards double arrow                      5p2 + 10p - 15 = 0
rightwards double arrow                      p2 + 2p - 3 = 0
rightwards double arrow                      p2 + 3p - p - 3 = 0
rightwards double arrow                     p(p + 3) - 1 (p + 3) = 0
rightwards double arrow                     (p - 1) (p + 3) = 0
rightwards double arrow                      p - 1 = 0 or p + 3 = 0
Since                   p =  1 or  p = - 3 neglected
Therefore,            p = 1 


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 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

1145 Views

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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