# AP 8th Maths Mock Test 2021 For Chapter -7 :”Frequency Distribution Tables and Graphs” Online Practice Test

1. The arithmetic mean of 20, 11, 21, 25, 23 and 14 is _____
2. The arithmetic mean of 19, 20, 19, 20 is _____
3. If the mean of 20 observations is 14.5 , then the sum of all observations is .............
4. Arithmetic mean of x - 2 , x and 17 - 2x is .........................
5. Arithmetic mean of 9 observations was calculated as 45 . In  doing so an observation was wrongly taken as 42 for 24 . What would be the correct mean ?
6. The sum of deviations calculated with actual mean is
7. The median of 14 , 36 , 25 , 28 , 35 , 32 , 56 , 42 , 50 is
8. The median of 24 , 65 , 85 , 12 , 45 , 35 , 15 is
9. The median of data 12 , 22 , 18 , 14 , 30 , 17 , 42 , 11 is
10. The mode of the data 3 , 12 , 18 , 12 , 17 , 18 , 17 , 12 is
11. The sum of deviations of all observations of the data 5 , 8 , 10 , 15 , 22 from their mean is
12. Range of the data 3 , 12 , 19 , 7 , 21 , 42 , 60 , 2 , 71 is
13. If in data , 10 numbers are arranged in increasing order . If the 7th entry is increased by 4 , then the median increases by
14. If 6 , 4 , 8 and 3 occur with frequencies 4 , 2 , 5 and 1 respectively then the arithmetic mean is
15. If a student got 20 , 11 , 21 , 25 , 23 , 14 respectively in FA - I then the average marks got by him is
16. Rafi scored 36 , 35 , 46 , 25 , 33 , 18 , 52 , 36 , 45 , 60 , 38 , 51  in 12 cricket matches respectively . What is the mean of he above data ?
17. Which of the following are true about the arithmetic mean ?
Statement - I : It is a representative value of the entire data
Statement - II : It is not unique value of the data
Statement - III : It depends on both number of observations and value of each observation in a data
18. If the mean of a data is 45 . If each observation of the data is divided by 10 , then the mean of the new data is ............
19. If the median of x , 2x , 4x is 12 then mean of the data is
20. If the median of data 24 , 29 , 34 , 38 , x is 29 then the value of 'x' is
21. Assertion A : In a histogram there are no gaps between rectangles
Reason R : We take class boundary on the X - axis in a histogram
Which of the following is true ?
22. The mean of first 5 prime numbers is
23. "Data" is some information that helps in taking decisions which is available in ................ form
24. What is the most commonly used measure of central tendency ?
25. The mode of all digits used in writing the natural numbers from 1 to 100 is
26. The differences of each observations of a data and estimated mean are called
27. Suppose n number observations are arranged in ascending order and If n is odd then median = ............... observation
28. If n is even then median = ............... observation
29. In which of the following situation mode is needed ?
I. To know the favourite uniform colour in a school
II. To find the average height of the students in a class
III. To know the most selling size of the shirt in a shop
IV. To know the model of the bike which is mostly used in a village
30. Difference between upper and lower boundaries of a class is called ..............of the class
31. If the height of a class interval is 8 and the class mark is 7 then the class interval is ...........
32. The distribution represents upper boundaries of the classes and their less than cumulative frequencies is called ....................
33. Greater than cumulative frequency is related to .....................
34. All the bars or rectangles in a bar graph have
35. In a histogram representing a grouped data , the class intervals are taken along ........
36. In a frequency polygon , frequencies are taken on ..............
37. A graph representing the cumulative frequencies of a grouped frequency distribution against the corresponding lower or upper boundaries of respective class intervals is called .............
38. Match the following
a. central tendency                                 ( ) i. Range
b. Maximum value - Minimum value ( ) ii. Mode
c. Appears most times in a data           ( ) iii. Median
39. In a histogram , the heights of the rectangle represents ................
40. In a bar diagram , all the bars have ...........
41. Computing arithmetic mean by deviation method is conveniently used for data with ................
42. Two years ago the mean age of 40 people was 11 years . Now a person left the group and the mean age is changed to 12 years . What was the sum of ages of 40 persons in two years ago ?
43. Two years ago the mean age of 40 people was 11 years . Now a person left the group and the mean age is changed to 12 years . What was the sum of ages of 40 persons at present ?
44. Two years ago the mean age of 40 people was 11 years . Now a person left the group and the mean age is changed to 12 years . What is the age of the person left from the group ?
45. Which is the lower boundary of the class 21 - 30 ?
46. Which is the total frequency ?
47. Which is the less than cumulative frequency of the class 31 - 40 ?
48. What is the use of frequency polygon than a histogram ?
49. In SSC 2016 public exams , the marks in Mathematics of 30 students in a school are listed as follows
In the table , number of students secured above 60 marks is ...........
50. Here Y-axis represents Number of patients and X-axis represents Ages then How many patients are there of age 50 ?
51. Here Y-axis represents Number of patients and X-axis represents Ages then Number of patients visited the hospital of age 5 ?
52. Here Y - axis represents Number of patients and X- axis represents Ages then number of patients of age 80 is.......................
53. How many students have weight between 30 - 35 kg ?
54. The maximum number of students in the class are between
55. How many students weight is less than 35 kg ?
56. Estimate the arithmetic mean of 17 , 25 , 28 , 35 , 40
57. Estimate the arithmetic mean of 5 , 6 , 7 , 8 , 8 , 10 , 10 , 10 , 12 , 12 , 13 , 19 , 19 , 19 , 20
58. Find the median of the data 24 , 65 , 85 , 12 , 45 , 35 , 15
59. If the median of x , 2x , 4x is 12 then find mean of the data
60. If the median of data 24 , 29 , 34 , 38 , x is 29 then the value of 'x' is
i. x > 38
ii. x < 29
iii. x lies in between 29 and 34
iv. None
61. Find the arithmetic mean of the sales per day in a fair price shop in a week ₹10000 , ₹10250 , ₹10790 , ₹9865 , ₹15350 , ₹10110
62. Find the mean of the data 10.25 , 9 , 4.75 , 8 , 2.65 , 12 , 2.35
63. Mean of eight observations is 25 . If one observation 11 is excluded , find the mean of the remaining
64. Arithmetic mean of nine observations is calculated as 38 . But in doing so , an observation 27 is mistaken for 72 . Find the actual mean of the data
65. 5 years ago mean age of a family was 25 years . What is the present mean age of the family ?
66. 2 years ago the mean age of 40 people was 11 years . Now a person left the group and the mean age is changed to 12 years . Find the age of the person who left the group
67. Find the sum of deviations of all observations of the data 5 , 8 , 10 , 15 , 22 from their mean
68. If the sum of the 20 deviations from the mean is 100 , then find the mean deviation
69. Find the median of the data 3.3 , 3.5 , 3.1 , 3.7 , 3.2 , 3.8
70. Find the mode of 10 , 12 , 11 , 10 , 15 , 20 , 19 , 21 , 11 , 9 , 10
71. Mode of certain scores is x . If each score is decreased by 3 , then find the mode of the new series
72. the given class intervals
73. How many students are in second class interval ?
74. How many students jumped a distance of 3.01 m or more ?
75. To which class interval does the student who jumped a distance 4.005 m belongs ?
76. Less than cumulative frequency is related to
77. Greater than cumulative frequency is related to
78. Where do we use vertical and horizontal bar graph ?
79. What does the sum of heights of all rectangles represent ?
80. Which value decides the width of rectangle in the histogram ?
81. ............... are taken on X - axis
82. The area of histogram of data and its frequency polygon are
83. The mode of data 1 , 2 , 3 , 4 , 5 , 5 , 5 , 4 , 3 , 2 , 1
84. The mode of data 10 , 11 , 12 , 12 , 11 , 10 , 10
85. The mode of 5 , 6 , 7 , 6 , 5 , 6 , 8
86. The median of 10 , 11 , 12 , 13 , 14 , 15 , 16
87. The median of 20 , 21 , 32 , 43 , 54 , 65 , 76
88. Six numbers from a list of 9 integers are 7 , 8 , 3 , 5 , 9 and 5 , find the largest possible value of the median of all nine numbers in this list
89. The median of a set of 9 distinct observations is 20 . If each of the largest 4 observations of set is increased by 2 , find the median of resulting set
90. Is there any change in mode , if one or two more observations , equal to mode are included in the data ?
91. Range of data =
92. .................. is a graphical representation of frequency distribution of exclusive class intervals
93. The actual mean = 16 and Estimated mean = 17 then average of deviations =
94. The actual mean = 16 and Estimated mean = 15 then average of deviations =
95. The actual mean = 16 and Estimated mean = 16 then average of deviations =
96. Mean of first 10 natural numbers are
97. Appears most times in a data
98. Central tendency value is
99. Why do we use tally marks ?
100. Find the range from following data ?
4 , 9 , 6 , 3 , 15 , 1 , 19 , 20 , 14 , 6 , 5 , 3 , 2 , 4