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Class X – Statistics (PYQs) – Solutions

Statistics (PYQs)

1. If the mean of the first n natural number is 15, then find n.

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2. Find the class-marks of the classes 10-25 and 35-55.

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3. Find the mean of the following distribution:

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

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5. The arithmetic mean of the following frequency distribution is 53. Find the value of k.

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6. A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

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7. The mileage (km per litre) of 50 cars of the same model was tested by a manufacturer and details are as follows:

Find the mean mileage. The manufacturer claimed that the mileage of the model was 16 km/l. Do you agree with this claim?

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8. The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is ` 18. Find the missing frequency k.

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Ans. k = 8


9. The marks distribution of 30 students in a science examination are as follows. Find the mode of this data.

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10. The distribution below gives the marks of 30 students of a class in mathematics. Find the median marks of the students.

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11. Find the mode of the following data:

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12. The weight of tea in 70 packets are as follows:

Determine the modal weight

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13. The annual rainfall record of a city of 100 days is given in the following table:

Calculate the median rainfall.

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Ans. 39.09 cm


14. The following table shows the ages of the patients admitted in a hospital during a year:

Find the median of the data given above.

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Ans. 21.25 years


15. The table below shows the salaries of 280 persons

Calculate the median salary of the data

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16. The table shows the daily expenditure on grocery of 25 households in a locality. Find the modal daily expenditure on grocery by a suitable method.

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17. The median of the following data is 16. Find the missing frequencies a and b, if the total of the frequencies is 70

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18. Daily wages of 110 workers, obtained in a survey, are tabulated below

Compute the mean daily wages and modal daily wages of these workers.

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19. The distribution given below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean and the median of the number of wickets taken.

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20. The mode of the following data is 67. Find the missing frequency x.

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