STATISTICS NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)

Q1. In a raw data the observations 2, 3, 4 and 5 occur with a frequency of 8, 5, 10, 7. So the mode of the data is ________________

  1. 2
  2. 3
  3. 4
  4. 10

Q2. Three coins were tossed thirty times. Each time the number of heads occurring was noted as follows: 0, 1, 2, 2, 1, 2, 3, 1, 3, 0 1, 3, 1, 1, 2, 2, 0, 1, 2, 1 3, 0, 0, 1, 1, 2, 3, 2, 2, 0 The frequency distribution table for the given data will be

  1.  No. of heads Frequency 0 6 1 10 2 9 3 5
  2.  No. of heads Frequency 0 5 1 8 2 10 3 6
  3.  No.  of heads Frequency 0 7 1 9 2 8 3 4
  4.  No.  of heads Frequency 0 6 1 9 2 10 3 4

Q3. The average marks scored by 100 students were calculated as 40. Later, it was discovered that a score of 38 was misread as 83. Find the correct mean.

  1. 42
  2. 39.55
  3. 50
  4. 25.93

Q4. The mean of 15 observations is 14. If the means of first 7 observations is 12 and that of last 7 observation is 16. Find the middle term.

  1. 10
  2. 12
  3. 14
  4. 15

Q5. Class marks of a frequency distribution are 6, 10, 14, 18, 22, 26, 30.Its class size will be

  1. 24
  2. 16
  3. 4
  4. 10

Q6. The median of following numbers 2, 10, 9, 9, 5, 2, 3,7,11 is ……

  1. 7
  2. 6
  3. 5
  4. 4

Q7. Find the median of following data:83, 37, 70, 29, 45, 63, 41, 70, 34, 54

  1. 51
  2. 49.5
  3. 47
  4. 25

Q8. A frequency distribution is defined as

  1. a rough arrangement of data
  2. distribution with tally marks
  3. arrangement of frequencies with class size
  4. tabular arrangement of data by classes together with the corresponding class frequencies

Q9. The mean of 100 items was found to be 30. If at the time of calculation two items were wrongly taken as 32 and 12 instead of 23 and 11. Now, the correct mean will be

  1. 27
  2. 29.9
  3. 31
  4. 25

Q10. There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be -3.5. The mean of the given numbers is :

  1. 46.5
  2. 49.5
  3. 53.5
  4. 56.5

Q11. A data is such that its minimum value is 86 and range is 32, then the maximum value is

  1. 54
  2. 811
  3. 118
  4. 181

Q12. In a grouped frequency distributions, the class intervals are 1-10, 11-20, 21-30,….  The class width is

  1. 5.5
  2. 10
  3. 9
  4. 11

Q13. In the following data, the number of class intervals, (by inclusive method), and taking 4 as the magnitude of class intervals will be 31, 23, 19, 29, 22, 20, 16, 10, 13, 34 38, 33, 28, 21, 15, 18, 36, 24, 18, 15 12, 30, 27, 23, 20, 17, 14, 32, 26, 25 18, 29, 24, 19, 16, 11, 22, 15, 17, 10

  1. 8
  2. 7
  3. 10
  4. 9

Q14. Find the sum of deviations of the following variables from their mean.3, 4, 6, 7, 8, 14

  1. 1
  2. 2
  3. 3
  4. 0

Q15. The arithmetic mean of 30 values is 69. New mean, if each of the 30 values is increased by 5 is

  1. 72
  2. 75
  3. 70
  4. 74

Q16. Class size for the following distribution: 0 – 0.25, 0.25 – 0.50, 0.50 – 0.75 is

  1. 2.5
  2. 50
  3. 0. 25
  4. 10

Q17. Class mark of a class interval 30-38 is

  1. 36
  2. 38
  3. 30
  4. 34

Q18. In a frequency distribution, the class-width is 4 and the lower limit of first class is 10. If there are six classes, the upper limit of last class is

  1. 32
  2. 26
  3. 30
  4. 34

Q19. The lowest observation of a data is 24 and the highest is 56. So the range of the data is ___________

  1. 16
  2. 32
  3. 40
  4. 20

Q20. If the number of observations in a data set is 25 and the mean of the data is 32. Then, the sum of all observations is ____________

  1. 425
  2. 800
  3. 1700
  4. 1275

Q21. Following are the weights (in kg) of 10 new born babies in a hospital on a particular day: 3.4, 3.6, 4.2, 4.5, 3.9, 4.1, 3.8, 4.5, 4.4, 3.6. Now, the mean of the weights of the babies will be

  1. 6
  2. 7.2
  3. 9
  4. 4

Q22. Class marks of a distribution are 26, 31, 36, 41, 46, 51, 61, 66, 71. The lower and upper class limits of the first class interval are

  1. 41 – 46
  2. 20 – 30
  3. 30 – 35
  4. 23.5 – 28.5

Q23. The mean marks of 25 students of a class are 20. So the sum of their marks is equal to,

  1. 500
  2. 400
  3. 600
  4. 900

Q24. Numbers 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 are written in ascending order and their median is 63, then the value of x will be

  1. 60
  2. 62
  3. 50
  4. 95

Q25. The mode of the following data is 23, 25, 28, 25, 18, 21, 22, 25, 21

  1. 21
  2. 18
  3. 22
  4. 25

Q26. Range of data 70, 65, 71, 36, 55, 61, 62, 41, 40, 39, 35 is

  1. 35
  2. 36
  3. 70
  4. 71

Q27. Mode of data 3, 2, 5, 2, 3, 5, 6, 6, 5, 3, 5, 2, 5 is:

  1. 6
  2. 4
  3. 5
  4. 3

Q28. The mean of prime numbers between 20 and 30 is:

  1. 21
  2. 26
  3. 25
  4. 27

Q29. Blood groups of 30 students of a class are recorded as follows:       A, B, O, O, AB, O, A, O, B, A, O, B, O, O,        A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O,A Most common blood group is

  1. O
  2. AB
  3. A
  4. B

Q30. For the class 90-99, 90 is called the

  1. Upper Class Limit
  2. Lower Class Limit
  3. Range
  4. Class Mark

Q31. A graphical representation of a frequency distribution in the form of rectangles with class interval as bases and heights proportional to corresponding frequencies such that there is no gap between any two successive rectangles is called a

  1. Bar graph
  2. Pie chart
  3. Histogram
  4. Frequency polygon

Q32. The median of observations 17, 18, 20, 22, x+2, x+4, 31, 35, 37 is found to be 24. If the observations have been arranged in ascending order, the value of x will be

  1. 30
  2. 20
  3. 22
  4. 25

Q33. If the mean of 6, 4, 7, x and 10 is 8, the value of x is

  1. 22
  2. 32
  3. 90
  4. 13

Q34. Median of the data 5, 9, 8, 6, 3, 5, 7, 12, 15 is

  1. 3
  2. 6
  3. 5
  4. 7

Q35. If the class-marks of a frequency distribution are 10.5, 16.5, 22.5, 28.5, 34.5, then the class-size is

  1. 6.5
  2. 5.5
  3. 5
  4. 6

Q36. If mean of x, x +2, x + 4, x + 6 and x + 8 is 11, find the mean of first three observations

  1. 9
  2. 4
  3. 5
  4. 10

Q37. Statistics is concerned with

  1. Distribution of data
  2. Collection and Analyzation of data
  3. Manipulation of data
  4. Drawing figures

Q38. Find median of following data: 83, 37, 70, 29, 45, 63, 41, 70, 34, 54

  1. 51
  2. 49.5
  3. 47
  4. 25

Q39. What will be the mean of x, x + 2, x + 4, x + 6, x + 8, where the value of x is 12?

  1. 10
  2. 8
  3. 16
  4. 22

Q40.   Class interval 10-15 15-20 20-30 30-50 50-80 Frequency 6 10 10 8 18 In the above frequency distribution, the adjusted frequency of the fourth class interval is

  1. 3
  2. 10
  3. 2
  4. 5

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