AP 9th Maths Mock Test 2021 For Chapter 9 – “Statistics” Online practice Test

1. The range of the following ungrouped data will be 30 , 32 , 45 , 54 , 74 , 78 , 108 , 112 , 66 , 76 , 86 , 41 , 14 , 15 , 35 , 112
2. The mean of the following distribution is
3. The median of 0 , 2 , 2 , 2 , -3 , 5 , -1 , 5 , 5 , -3 , 6 , 6 , 5 , 6 is
4. While writing the expansion form of 5161 we use some digits . Mode of the digits used in the expansion is
5. To find mean weight of 3 types of vegetables which are 4 kg , 6 kg , 8 kg . Usha and Laxmi do like this
Usha : Weight given = 4 kg , 6 kg , 8 kg
Mean weight = \overline{x} = \frac{18}{3} = 6 kg
Laxmi : Weight given = 4 kg , 6 kg , 8 kg
Mean weight = \overline{x} = \frac{4 \times 6 \times 8}{3} = 64 kg
From the above information
6. Mean of first 10 whole numbers and first 10 natural numbers is in the ratio of
7. The class size of 1 - 10 is
8. The mean of first 5 multiples of 3 is
9. If the median of \frac{x}{5} , \frac{x}{3} , \frac{x}{4} is 5 then x = ............
10. When number of observations 'n' is even then median is
11. The width of each of 9 classes in a frequency distribution is 2.5 and the lower class boundary of the lowest class is 10.6 , then the upper class boundary of the highest class is ........
12. Median of data 1 , 2 , 1 , 2 , -3 , 5 , -1 , 5 , 5 , -3 , 5 , 6 , 6 , 6 is
13. The mean of 16 numbers is 8 . If 2 is added to every number , what will be the new mean ?
14. The classes 1 , -5 , 6 , -10 , 11 , -15 , ...... are called ...... classes
15. Mean of data 8 , 7 , 6, 13 , 12 , 10 , 20 , 16 , 15 and 14 is 12.2 , if each observation is multiplied by 3 and then 2 is added , the new mean is
16. Mean of certain data with 7 observations is 17.7 then the total value is
17. If the mean of 5 observations is 15 and that of another 10 observations is 20 . Find the mean of all 15 observations .
18. If the mode of the observations 4 , 2, 3 , 3, 3, 2 , 4 , 2 , 4 , 2 , 3 , x , 4 , 2 , 4 , 3 , 4 and 4 then 'x' can not be
19. Mean age of 20 students is 10 years . 5 students with mean age of 12 years leave the class . Mean age of remaining students will be
20. Let 'n' be the mid point and 'l' be the lower limit of a class in a continuous frequency distribution , the upper limit of the class is ..............
21. If \overline{x} is the mean of the x1 , x2 , x3 , x4 ............ xn for a \neq 0 , the mean of ax1 , ax2 , ax3 ,............axn , \frac{ x_{1} }{a} , \frac{ x_{2} }{a} ............. \frac{ x_{n} }{a} is......
22. The mean of 8 numbers is 40 , If one number is excluded , their mean becomes 30 . The excluded number is .............
23. Duration of sunshine in vijayawada for first 10 days of august 2017 are given below
9.6 , 5.2 , 3.5 , 1.5 , 1.6 , 2.4 , 2.6 , 8.4 , 10.3 , 10.9
from the above data find the mean
24. 9.6 , 5.2 , 3.5 , 1.5 , 1.6 , 2.4 , 2.6 , 8.4 , 10.3 , 10.9
from the above data find the range
25. Duration of sunshine in hyderabad for first days of may 2019 are given below
9.6 , 5.2 , 3.5 , 1.5 , 1.6 , 2.4 , 2.6 , 8.4 , 10.3 , 10.9
from the above data find the value of \Sigma ^{10} _{i = 1}(x_{i} - \overline{x}) =
26. The median of the following data
0 , 2, -3 , 2 , 5 , 2 , -1 , 5 , -3 , 5 , 6 , 5 , 6 , 6 is n \times 0.7 then n = .......
27. If 6 , 4 , 8 and 3 occur with frequencies 4 , 2 , 5 and 1 respectively then the arithmetic mean is
28. The mean of 10 students was 43 later on it was discovered that a score of 30 was misread as 40 . The new mean will be
29. " A paper is folded several times . When it was opened it was observed that it contained 22 triangles , 22 quadrilaterals and 12 pentagons " . From the above mode is ...............
30. For an ungrouped data of 10 scores Arithmetic mean is 12 . If one more score is joined to the previous scores the mean increases by 0.5 , with this information
Ravi : The new score will be 0.5 more than 12
Harsha : The new score will be 5.5 more than 12
Ritu : Sum of 11 scores is 17.5 greater than sum of 10 scores
Now which of these is correct ?
31. Assertion A : Day wise number of absentees in a class during last month is the primary data
Reason R : The information collected by the investigator with a definite objective data is called primary data
32. Assertion A : The difference between two consecutive lower limits / boundaries (or) upper limits / boundaries is called class size
Reason R : Class size of a class 'x - y' is \frac{x + y}{2}
33. In the class intervals 10 - 20 , 20 - 30 , 30 - 40 , 30 is taken in
34. For the set of numbers 1 , 2 , 5 , 5 , and 12 which of the following statements is true ?
35. Algebraic sum of deviations from mean is .................
36. Arrange the steps in order to compute median for ungrouped data
I : If n is odd , then median = [\frac{n + 1}{2}]^{th} . If n is even , then median = average of [\frac{n}{2}]^{th} and [\frac{n}{2} + 1]^{th} observations
II : Arrange the observations in ascending or descending order of magnitude
III : Determine the total number of observations , say 'n' .
37. Match the following
i. Data having one mode          ( ) a. Trimodal data
ii. Data having two modes       ( ) a. Unimodal data
iii. Data having three modes   ( ) a. Bimodal data
38. Which measure of central tendency is always one among the observations ?
39. If the arithmetic mean of 7 , 5 , 13 , x , 9 and 10 is 10 , then the value of 'x' is the perfect square of natural number k . Then k =
40. Statement : The median of the following observations 0.9 , 1 , 2, 3 , x , x + 2 , 8 , 9 , 11 , 12 which arranged in ascending order is 63 , then the value of x is 62
Reason : Median of 'n' observations in average of [\frac{n}{2} ]^{th} term and [\frac{n}{2} + 1 ]^{th} term
41. A frequency polygon is constructed by plotting frequency of the class interval and the
42. In an ungrouped data there are 10 scores . After arrange the data which term is the median ?
43. While doing project work on weights of students in the class - room sekhar found mean of the class as 28 kg , median as 29.5 kg and mode as 27 kg . While doing his project two students eswar and nawaz were absent in the class . If those two were attended mean , median and mode will not change . Then the possible weights of these two students are ( in kgs)
44. \overline{x} = A + \frac{ \Sigma f_{i} d_{i} }{ \Sigma f_{i} } is the formula to find mean for an ungrouped data . In this formula letter 'A' represents for
45.
  1. The mean of ungrouped data \overline{x} = \frac{ \Sigma x_{i}}{n}
  2. If 3 is added to each data then mode , mean and median will also increase by 3
  3. If each observation is multiplied by something then mode of mean increases and median remains constant
46. Which of these is not related ?
47. To elect the leader of your class from 3 contestants , which of the following measure are to be considered ?
48. From the table , No.of students who get more than 15 marks ?
49. From the table , If 6 students were failed then the number of students who passed and got up to 15 marks are
50. No.of students who are in the class of 10 - 15 is
51. Given below are the marks obtained in a mathematics examination of class IX
From the above data was classified as 0 - 25 , 25 - 50 , 50 - 75 , 75 - 100 . In which class the frequency is more ?
52. From the given table , the lower limit of the highest frequency class
53. From the given table , In the class no.of students more than 25 marks obtained is
54. From the table , if the three students with marks 26 , 27 and 28 are joined , which class frequency changes ?
55. In the given data represents to frequency of 10 - 15 class
56. While drawing a bar graph , which class bar is the smallest in it's length

57. From the table , if 5 more students are joined with marks 12 , 15 , 8 , 19 , 6 in the class , then the no.of students who got more than 15 marks are
58. From the table , In 10 - 15 class 10 is called
59. If the mean of x and \frac{1}{x} is M then the mean of x2 and \frac{1}{x^{2}} is
60. The frequency of the students is highest in the class interval
61. The bar graph given showing the months of birthdays of 40 students of a class
How many students were born in august ?
62. At what subject is the student sharp ?
63. In which month were the minimum number of students born ?
64. In which subject is the student poor ?
65. What is the average mark obtained by the student ?
66. In which months were at least 5 students born ?
67. What is the percentage obtained by the student ?
68. What is the highest mark ?
69. What is the ratio of the highest marks to lowest marks obtained by the student ?
70. In which months was the difference in the number of students born in the same as that in October and November ?
71. What is the ratio of the subjects Hindi and History ?
72. The ratio 5 : 8 represents which subjects
73. In which subjects the students got double the marks of another subject ?
74. Find the median of the scores 75 , 21 , 56 , 36 , 81 , 05 , 42
75. Median of data , arranged in ascending order 7 , 10 , 15 , x , y , , 27 , 30 is 17 and when one more observation 50 is added to the data , the median has become 18 . then the values of x and y are
76. Find the median marks in the data
77. Find the mean
78. Find the mean number of children per family
79. If the mean of the following frequency distribution is 7.2 , find value of 'k' .
80. Find the average population in each village
81. Find the mean
82. Find the median
83. Find the mode
84. Find the mode for following
85. Find the median for following
86. Find the mean for following
87. The mean weight of 3 students is 40 kg , One of the students Ranga weighs 46 kg . The other two students Raju and Ravi have the same weight , find Raju's weight (in kg)
88. Find the range for 25 , 34 , 42 , 20 , 39 , 50 , 28 , 30 , 50 , 11 , 20 , 42 , 45 , 40 , 7
89. Find the mid value for 25 , 34 , 42 , 20 , 39 , 50 , 28 , 30 , 50 , 11 , 20 , 42 , 45 , 40 , 7
90. Consider the marks obtained by 15 students in a Mathematics test out of 50 marks are 25 , 34 , 42 , 20 , 39 , 50 , 28 , 30 , 50 , 11 , 20 , 42 , 45 , 40 , 7 . then find how many children got 60 % or more marks in their mathematics test .
91. Mean =
92. Observation with maximum frequency is
93. The average of upper limit of a class and the lower limit of the succeeding class is
94. The number of observations corresponding to a particular class is known as the
95. Class frequency is denoted as
96. The difference between maximum and minimum values of data is called
97. Class mark =
98. Facts or figures which are numerical or otherwise collected with a definite purpose are called
99. Extraction of meaning from the data is studied in a branch of mathematics called
100. The measures of central tendency are

 

Leave a Comment