Math Class IX 1 Question Bank STATISTICS Q.1 Following data gives the number of children in 40 families : 1, 2, 6, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 1, 6, 2, 2. Represent it in the form of a frequency distribution. Ans. Below is given a frequency distribution of the given data. No. of Children Tally-Marks Frequency 0 |||| 4 1 |||| || 7 2 |||| |||| || 12 3 |||| 5 4 |||| || 7 5 || 2 6 ||| 3 Q.2. The marks obtained by 40 students of a class in an examination are given below. Present the data in the form of a frequency distribution using equal class-size, one such class being 10–15 (15 not included) 3, 20, 13, 1, 21, 13, 3, 23, 16, 13, 18, 12, 5, 12, 5, 24, 9, 2, 7, 18, 20, 3, 10, 12, 7, 18, 2, 5, 7, 10, 16, 8, 16, 17, 8, 23, 21, 6, 23, 15. Ans. Frequency distribution of the given data can be represented as follows : Class-Interval Tally-Marks Frequency 1 - 5 |||| | 6 5 - 10 |||| |||| 10 10 - 15 |||| ||| 8 15 - 20 |||| ||| 8 20 - 25 |||| ||| 8 Q.3. Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of 28 labourers working in a factory, taking one of the class intervals as 210 - 230 (230 not included). 220, 268, 258, 242, 210, 268, 272, 242, 311, 290, 300, 320, 319, 304, 302, 318, 306, 292, 254, 278, 210, 240, 280, 316, 306, 215, 256, 236.
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STATISTICS - Testlabz Class IX 4 Question Bank Ans. Frequency distribution to exclusive form of the given frequency distribution is as follows : Class Interval Frequency 29.5 - 34.5
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Math Class IX 1 Question Bank
STATISTICS Q.1 Following data gives the number of children in 40 families :
Q.14. Construct the frequency distribution table from the following cumulative
frequency table :
Ages Number of Students
Below 4 0
Below 7 85
Below 10 140
Below 13 243
Below 16 300
(i) State the number of students in the age group 10-13.
(ii) State the age group which has the least number of students. Ans. Since, there is no students below age of 4 years, hence starting the classes from
lower limits as 4.
Ages No. of Students Frequency f
4 - 7 85 85
7 - 10 140 140 85 55− =
10 - 13 243 243 140 103− =
13 - 16 300 300 243 57− =
Total 300
(i) Number of students in the age group 10-13 = 103.
(ii) Age group which has the least number of students is 7-10.
Math Class IX 9 Question Bank
Q.15. Fill in the blanks in the following table.
Class Interval Frequency Cumulative Frequency
25 - 34 ... 15
35 - 44 ... 28
45 - 54 21 ...
55 - 64 16 ...
65 - 74 ... 73
75 - 84 12 ...
Ans.
Class Interval Frequency Cumulative Frequency
25 - 34 15 15
35 - 44 28 15 13− = 28
45 - 54 21 28 21 49+ =
55 - 64 16 49 16 65+ =
65 - 74 73 65 8− = 73
75 - 84 12 73 12 85+ =
Q.16. Draw a bar graph (chart) to represent the following data :
Name of
the Animal
Goat Horse Cow Camel Elephant
Age (in
years)
12 15 15 26 60
Ans. Taking name of the animals along x-axis and age (in years) along y-axis, the
required bar graph (chart) is as shown.
Math Class IX 10 Question Bank
Q.17. Construct a histogram for the following frequency distribution :
Class Interval 0 - 5 5 - 10 10 - 15 15 - 20
Frequency 5 3 6 2
Ans. Taking class intervals along x-axis and
frequency along y-axis. Below is given
histogram of the given data. Scale 1 cm
= 1 frequency.
Q.18. Construct a histogram for the following frequency distribution :
Daily earning
(in Rs.)
80-120 120-160 160-200 200-240
Number of
Workers
4 8 10 2
Ans. Taking daily earnings (in Rs.) along x-
axis and number of workers along y-
axis. Below is given a histogram of the
given data. scale 1 cm = 2 workers.
Math Class IX 11 Question Bank
Q.19. Draw a histogram for the following frequency distribution :
Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50
No. of students 4 9 5 12 3
Ans. Taking marks along x-axis and
number of students along y-axis. Below
is given the histogram of the given
data. Scale 1 cm = 2 students.
Q.20. Construct a frequency polygon from the following data :
Class
Interval
1-5 6-10 11-15 16-20 21-25
Frequency 5 8 12 7 4
Ans. Taking class intervals along x-axis and
frequency along y-axis. Then, we will
draw a histogram and take mid-points
of each class interval and by joining
them, we get the frequency polygon as
given. Scale 1 cm = 2.
By converting the class intervals in
exclusive form, we get
0.5 - 5.5, 5.5 - 10.5, 10.5 - 15.5, 15.5 -
20.5 and 20.5 - 25.5.
Math Class IX 12 Question Bank
Q.21. The following table shows the marks obtained by the students of a class in
an examination.
Marks 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50
No. of
Students
15 32 55 35 13
Draw a frequency polygon.
Ans. Taking marks along x-axis and
number of students, along y-axis. First
we draw a histogram and then by
joining the mid-points of consecutive
rectangle, we will get a frequency
polygon. Scale: 1 cm = 10 students.
Q.22. The heights of boys in a school are given below :
Height (in
cm)
140 - 145 145 - 150 150 - 155 155 - 160 160 - 165
No. of boys 24 32 16 20 44
Draw a histogram and a frequency
polygon to represent the above data. Ans. We will take heights (in cm) on x-axis
and number of boys on the y-axis. First
we will draw a histogram and then by
joining the mid-points of consecutive
rectangle, we get a frequency polygon.
Scale : 1 cm = 8 boys.
Math Class IX 13 Question Bank
Q.23. Draw a histogram and frequency polygon to represent the following data :
Weight (in
kg)
35 - 40 40 - 45 45 - 50 50 - 55 55 - 60
No. of
Workers
6 17 30 8 3
Ans. Taking weights (in kg) along x-axis
and no. of workers along y-axis. First
we draw a histogram and then by
joining the mid-points of consecutive
rectangle, we get a frequency polygon.
Scale : 1 cm = 5 workers.
Q.24. Each of the 25 students in a class was given a home assignment comprising
10 questions in mathematics. The data given below, show the number of
questions solved and submitted by individual students on the next day.