Find the mean of each of the following distributions : (i) xi

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 Multiple Choice QuestionsShort Answer Type

401.

The front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown in figure. Eight such spheres are used for this purpose, and are to be painted silver. Each support is a cylinder of radius 1.5 cm and height 7 cm and is to be painted black. Find the cost of paint required if silver paint costs 25 paise per cm2 and black paint costs 5 paise per cm2.

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402. The diameter of a sphere is decreased by 25%. By what per cent does its curved surface area decrease?
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403. Find the mean of the following marks of 20 students on a screening test, (out of 100) 76, 44, 45, 87, 71, 72, 82, 83, 41, 32, 75, 32, 46, 78, 17, 70, 84, 12, 77, 74
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404. The mean of 10, 12, 16, 20, p and 26 is 17. Find the value of p.
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 Multiple Choice QuestionsLong Answer Type

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405.

Find the mean of each of the following distributions :

(i)

xi

10

15

20

25

30

35

40

Total

fi

4

6

8

18

6

5

3

50

(ii)

xi

12

13

14

15

16

17

18

Total

fi

1

3

4

8

10

3

1

30

(iii)

xi

50

75

100

125

150

175

200

Total

fi

12

18

50

70

25

15

10

200


(i)

xi

fi

fixi

10

4

40

15

6

90

20

8

160

25

it

450

30

6

180

35

5

175

40

3

120

Total

50

1215


Mean space equals space fraction numerator sum straight f subscript straight i straight x subscript straight i over denominator sum straight f subscript straight i straight x subscript straight i end fraction equals 1215 over 50 equals 24.3

xi

fi

fixi

12

1

12

13

3

39

14

4

56

15

8

120

16

10

160

17

3

51

18

1

18

Total

30

456


Mean equals fraction numerator sum straight f subscript straight i straight x subscript straight i over denominator sum straight f subscript straight i end fraction equals 456 over 30 equals 15.2

(iii)

xi

fi

fixi

50

12

600

75

18

1350

100

50

5000

125

70

8750

150

25

3750

175

15

2625

200

10

2000

Total

200

24075


Mean equals fraction numerator sum straight f subscript straight i straight x subscript straight i over denominator sum straight f subscript straight i end fraction equals 24075 over 200 equals 120.375
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 Multiple Choice QuestionsShort Answer Type

406.

The following data have been overanged in ascending order. If the median of these data is 63, then find the value of x : 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

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407.

Find the median of the following data:

95, 65, 75, 70, 75, 100, 50, 40.

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408. The mean of 40 observations was 160. It was detected on rechecking that the value 165 was wrongly copied as 125. Find the correct mean.
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409. 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.
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410. A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner curved surface area of the vessel.
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