# SSC

Explore popular questions from Average for SSC. This collection covers Average previous year SSC questions hand picked by experienced teachers.

## Statistics

Average

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Q 1. A student was asked to find the arithmetic mean of the following 12 numbers :
{tex} 3, 11, 7,9,15,13,8,19,17, 21, 14{/tex} and {tex} \mathrm x {/tex}
He found the mean to be {tex} 12 . {/tex} The value of {tex} \mathrm { x } {/tex} will be:

A

3

7

C

17

D

31

##### Explanation

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Q 2. The average of the marks obtained in an examination by 8 students was 51 and by 9 other students was {tex} 68 . {/tex} The average marks of all 17 students was :

A

59

B

59.5

60

D

60.5

##### Explanation

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Q 3. If the average marks of three batches of 55,60 and 45 students respectively is 50,55 and 60, then the average marks of all the students is

54.68

B

53.33

C

55

D

None of these

##### Explanation

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Q 4. The average of 30 results is 20 and the average of other 20 results is 30 . What is the average of all the results?

24

B

48

C

25

D

50

##### Explanation

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Q 5. If the average weight of 6 students is {tex} 50 \mathrm { kg } {/tex}; that of 2 students is {tex} 51 \mathrm { kg } {/tex}; and that of other 2 students is {tex} 55 \mathrm { kg } {/tex}; then the average weight of all students is

A

{tex} 61\ \mathrm { kg } {/tex}

B

{tex} 51.5\ \mathrm { kg } {/tex}

C

{tex} 52\ \mathrm { kg } {/tex}

{tex} 51.2\ \mathrm { kg } {/tex}

##### Explanation

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Q 6. The average of 10 numbers is 7. If each number is multiplied by {tex} 12 , {/tex} then the average of the new set of numbers will be

A

7

B

19

C

82

84

##### Explanation

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Q 7. The average income of 40 persons is Rs. 4200 and that of another 35 persons is Rs. 4000. The average income of the whole group is :

A

Rs. 4100

B

Rs. {tex} 4106 \frac { 1 } { 3 } {/tex}

Rs. {tex} 4106 \frac { 2 } { 3 } {/tex}

D

Rs. {tex} 4108 \frac { 1 } { 3 } {/tex}

##### Explanation

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Q 8. The average weight of five persons sitting in a boat is {tex} 38 \mathrm { kg } {/tex}. The average weight of the boat and the persons sitting in the boat is {tex} 52 \mathrm { kg } {/tex}. What is the weight of the boat?

A

{tex} 228 \mathrm { kg } {/tex}

{tex} 122 \mathrm { kg } {/tex}

C

{tex} 232 \mathrm { kg } {/tex}

D

{tex} 242 \mathrm { kg } {/tex}

##### Explanation

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Q 9. The average marks of 32 boys of section A of class {tex} X {/tex} is 60 whereas the average marks of 40 boys of section {tex} B {/tex} of class {tex} X {/tex} is {tex} 33 . {/tex} The average marks for both the sections combined together is

A

44

45

C

{tex} 46 \frac { 1 } { 2 } {/tex}

D

{tex} 45 \frac { 1 } { 2 } {/tex}

##### Explanation

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Q 10. Total weekly emoluments of the workers of a factory is Rs {tex} 1534 . {/tex} Average weekly emolument of a worker is Rs {tex} 118 {/tex}. The number of a workers in the factory is :

A

16

B

14

13

D

12

##### Explanation

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Q 11. 12 kg of rice costing Rs. 30 per kg is mixed with 8 kg of rice costing Rs. 40 per kg. The average per kg price of mixed rice is

A

Rs. 38

B

Rs. 37

C

Rs. 35

Rs. 34

##### Explanation

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Q 12. If average of 20 observations {tex} x _ { 1 } {/tex}, {tex} x _ { 2 } , \ldots . , x _ { 20 } {/tex} is {tex} y , {/tex} then the average of {tex} x _ { 1 } - 101 , x _ { 2 } - 101 , x _ { 3 } - {/tex} {tex} 101 , \ldots . . , x _ { 20 } - 101 {/tex} is

A

{tex} y - 20 {/tex}

{tex} y - 101 {/tex}

C

{tex} 20 y {/tex}

D

{tex} 101 y {/tex}

##### Explanation

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Q 13. The average of {tex} x {/tex} numbers is {tex} y {/tex} and average of {tex} y {/tex} numbers is {tex} x {/tex}. Then the average of all the numbers taken together is

A

{tex} \frac { x + y } { 2 x y } {/tex}

{tex} \frac { 2 x y } { x + y } {/tex}

C

{tex} \frac { x ^ { 2 } + y ^ { 2 } } { x + y } {/tex}

D

{tex} \frac { x y } { x + y } {/tex}

##### Explanation

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Q 14. The average of {tex} x {/tex} numbers is {tex} y ^ { 2 } {/tex} and the average of {tex} y {/tex} numbers is {tex} x ^ { 2 } . {/tex} So the average of all the numbers taken together is

A

{tex} \frac { x ^ { 3 } + y ^ { 3 } } { x + y } {/tex}

{tex} x y {/tex}

C

{tex} \frac { x ^ { 2 } + y ^ { 2 } } { x + y } {/tex}

D

{tex} x y ^ { 2 } + y x ^ { 2 } {/tex}

##### Explanation

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Q 15. The average of {tex} n {/tex} numbers {tex} x _ { 1 } , x _ { 2 } , {/tex} {tex} \ldots x _ { n } {/tex} is {tex} \bar { x } {/tex}. Then the value of {tex}\displaystyle \sum _ { i = 1 } ^ { n } \left( x _ { i } - \bar { x } \right) {/tex} is equal to

A

{tex} n {/tex}

0

C

{tex} n \bar { x } {/tex}

D

{tex} \bar { x } {/tex}

##### Explanation

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Q 16. A man bought 13 articles at {tex} Rs. 70 {/tex} each, 15 at {tex} Rs. 60 {/tex} each and 12 at {tex} Rs. 65 {/tex} each. The average price per article is

A

Rs. 60.25

Rs. 64.75

C

Rs. 65.75

D

Rs. 62.25

##### Explanation

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Q 17. A library has an average number of 510 visitors on Sunday and 240 on other days. The average number of visitors per day in a month of 30 days beginning with Sunday is:

285

B

295

C

300

D

290

##### Explanation

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Q 18. The average of 30 numbers is 40 and that of other 40 numbers is 30. The average of all the numbers is

{tex} 34 \frac { 2 } { 7 } {/tex}

B

35

C

34

D

34.5

##### Explanation

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Q 19. The average of 20 numbers is 15 and the average of first five is {tex} 12 . {/tex} The average of the rest is

16

B

15

C

14

D

13

##### Explanation

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Q 20. The average monthly expenditure of a family is {tex} Rs. 2,200 {/tex} during first three months, {tex} Rs. 2,550 {/tex} during next four months and {tex} Rs. 3,120 {/tex} during last five months of the year. If the total savings during the year was {tex} Rs. 1,260 , {/tex} what is the average monthly income?

A

{tex} Rs. 1,260 {/tex}

B

{tex} Rs. 1,280 {/tex}

{tex}Rs. 2,805 {/tex}

D

{tex}Rs. 2,850{/tex}

##### Explanation

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Q 21. Find the average of {tex} 1.11,0.01 , {/tex} {tex} 0.101,0.001,0.11 {/tex}

0.2664

B

0.2554

C

0.1264

D

0.1164

##### Explanation

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Q 22. 4 boys and 3 girls spent Rs. 120 on the average, of which boys spent Rs. 150 on the average. Then the average amount spent by the girls is

Rs. 80

B

Rs. 60

C

Rs. 90

D

Rs. 100

##### Explanation

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Q 23. Six tables and twelve chairs were bought for {tex} Rs. 7,800 {/tex}. If the average price of a table is {tex} Rs. 750 , {/tex} then the average price of a chair would be

A

Rs. 250

Rs. 275

C

Rs. 150

D

Rs. 175

##### Explanation

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Q 24. Out of 20 boys, 6 are each of {tex}1\ \mathrm { m }\ 15\ \mathrm { cm } {/tex} height, 8 are of {tex}1\ \mathrm { m }\ 10\ \mathrm { cm } {/tex} and rest of {tex}1\ \mathrm { m }\ 12\ \mathrm { cm } {/tex}. The average height of all of them is

{tex} 1\ \mathrm { m }\ 12.1\ \mathrm { cm } {/tex}

B

{tex} 1\ \mathrm { m }\ 21.1\ \mathrm { cm } {/tex}

C

{tex} 1\ \mathrm { m }\ 21\ \mathrm { cm } {/tex}

D

{tex} 1\ \mathrm { m }\ 12\ \mathrm { cm } {/tex}

##### Explanation

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Q 25. There are two groups A and B of a class, consisting of 42 and 28 students respectively. If the average weight of group A is {tex} 25 \mathrm { kg } {/tex} and that of group {tex} \mathrm { B } {/tex} is {tex} 40 \mathrm { kg } {/tex}, find the average weight of the whole class.

A

{tex} 69\ \mathrm { kg } {/tex}

{tex} 31\ \mathrm { kg } {/tex}

C

{tex} 70\ \mathrm { kg } {/tex}

D

{tex} 30\ \mathrm { kg } {/tex}