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statistics questions with answers

49 multiple-choice questions. Open any question for its answer and explanation.

  1. Find the value of x when the Mean of the following distribution is 31.z 12 20 27 33 X 54 Frequency 8 16 48 90 30 8
  2. 7.Consider two investments A and B such that the coefficient of variation for investment A is 30% and the coefficient of variation for investment B is ' 7.5%. Then
  3. The mid-values of the continuous class intervals of equal length of a distribution are 25, 34, 43, 52, 61, Then the first class interval of the distribution is :
  4. 21.If the mean of A, B, C, D and E is 50 and mean of B, C, D and E is 60, then the value of A is
  5. Mean deviation is minimum with respect to
  6. What was the approximate percentage production of Type-P scooters in 2018 to its total production over the given years ?
  7. 6.The following table gives the distribution of students according to the marks obtained in a paper: Marks Number of StudentsBelow 10 15Below 20 38Below 30 65Below 40 84Below 50 100What is the number of students getting 30 or more than 30 marks ?
  8. Four samples of size 50, 100, 150 and 200 have mean height respectively as 40.4, 45.2, 48.4 and50.0 cms. Their combined mean height is (cm)
  9. 5.The following gives the data regarding accident occurring a certain period : Number of accident 1 2 3 4 5 6Frequency: 19 22 31 9 3 2On how many days, three or less accidents occurred ?
  10. Consider the following table: MarksNumber of Students1-10 2 11-20 4 21 -30 6 31 -40 3 41 – 50 3 51 -60 2The percentage of students obtaining marks more than 10 but less than or equal to 40 will be
  11. Percentiles are the value of the variate which divides the total frequency into "K" equal parts. K is equal to
  12. A distribution consists of three groups having 40, 50 and 60 item. The means of the group are 20,26 and 15 respectively, What will be the mean of the distribution ?
  13. Ogives, for more than and less than types intersect at
  14. Graphical representation of data can be done by
  15. The following table gives the number of employees in different age groups. The average age of employess below 40 years of age isAge group 20-30 30-40 40-50 50-60 Number of Employees 40 60 5535
  16. If the mean height of boys in a class is 60 cm, the mean height of girls is 55 cm and the mean height of all the students in the class is 57 cm, what will be the ratio of the number of boys to the number of girls ?
  17. Which one of the following is the most refined level of measurement?
  18. 15.The arithmetic mean of 50 observations was found to be It was later on discovered that it was wrong because an observation of 48 was wrongly taken as What will be the correct mean ?
  19. Frequency density of a class is the ratio of:
  20. 10% of students taking admission in a course drop out before completing their course and among those drop outs 30% are girls. If total number of students taking admission in the college is 200 and among them 50 are girls, then number of girls who completed the course is
  21. The following table shows the distribution of life time of 350 radio tubes : Lifetime in hrs 300-400 400-500 500-600 600-700 No. of tubes 6 18 73 165 Lifetime in hrs 700-800 800-900 900-1000 No. of tubes 62 22 4Assuming that class frequencies are evenly distributed within the corresponding classes, find the percentage of tubes having life time between 650 hours and 850 hours
  22. In an area, of the total people 40% were women and 45% coffee drinkers. One-third of the males are coffee drinkers. Suppose the total number of persons in the area is 100, then the number of fen e non-coffee drinkers is
  23. For a group of 60 individuals, the A.M. (Arithmetic Mean) of X and Y are 64 and 57 respectively. Then theA.M.of Z = X + 2Y is
  24. In which one among the given years the production of Type-S scooters remained maximum ?
  25. The scores in a test series were 43, 56,35,47, 48, 52,66,57,46, 39,43,47, 61,55,50, 49,39,40If the scores were organised in deciles series, which series would be the most popular ?