Statistics ML Aggarwal Class-9 ICSE Solutions Chapter-20
Understanding APC ICSE Mathematics Solved Answer of Exercise-20 Statistics
Statistics is a collection of mathematical techniques that help to analyze and present data. Therefore we provide Statistics of ML Aggarwal Class-9 ICSE Maths Solutions of Chapter-20 . Hence Step by step answer of Exercise-20.1 , Exercise-20.2, Exercise-20.3, MCQ and Chapter-Test of Exercise-20 Questions. So Statistics Solved Questions for Class-9 of ML Aggarwal Understanding APC Mathematics are available here.
Statistics ML Aggarwal Class-9 ICSE Maths Solutions Chapter-20
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Note:- Before viewing Solutions of Chapter -20 Statistics Class-9 APC Understanding ML Aggarwal Solutions . Read the Chapter Carefully . Then solve all example given in Exercise-20.1 , Exercise-20.2, Exercise-20.3.Statistics ML Aggarwal Class-9 ICSE is important chapter.
Exercise-20.1 Statistics Class-9 ICSE Understanding ML Aggarwal Solutions
Question 1
Find the mean of 8, 6, 10, 12, 1, 3, 4, 4.
Answer 1
Question 2
5 people were asked about the time in a week they spend in doing social work in their community. They replied 10, 7, 13, 20 and 15 hours, respectively. Find the mean time in a week devoted by them for social work.
Answer 2
Question 3
The enrollment of a school during six consecutive years was as follows:
1620, 2060, 2540, 3250, 3500, 3710,
Find the mean enrollment.
Answer 3
Question 4
Find the mean of the first twelve natural numbers.
Answer 4
Question 5
(i) Find the mean of the first six prime numbers.
(ii) Find the mean of the first seven odd prime numbers.
Answer 5
Question 6
(i)The marks (out of 100) obtained by a group of students in a Mathematics test
are 81, 72, 90, 90, 85, 86, 70, 93 and 71. Find the mean marks obtained by the
group of students.
(ii) The mean of the age of three students Vijay, Rahul and Rakhi is 15 years. If their
ages are in the ratio 4 :5:6 respectively, then find their ages.
Answer 6
Question 7
– The mean of 5 numbers is 20. If one number is excluded, mean of the remaining
numbers becomes 23. Find the excluded number.
Answer 7
Question 8
The mean of 25 observations is 27. If one observation is included, the mean still remains 27. Find the included observation.
Answer 8
Question 9
The mean of 5 observations is 15. If the mean of first three observations is 14 and that
of the last three is 17, find the third observation.
Answer 9
Question 10
The mean of 8 variate is 10-5. If seven of them are 3, 15, 7, 19, 2, 17 and 8, then find
the 8th variate.
Answer 10
Question 11
The mean weight of 8 students is 45-5 kg. Two more students having weights 41-7 kg
and 53-3 kg join the group. What is the new mean weight?
Answer 11
Question 12
Mean of 9 observations was found to be 35. Later on, it was detected that an observation
81 was misread as 18. Find the correct mean of the observations.
Answer 12
Question 13
A student scored the following marks in 11 questions of a question paper :
7, 3, 4, 1, 5, 8, 2, 2, 5, 7, 6.
Find the median marks.
Answer 13
Question 14
Calculate the mean and the median of the numbers:
…………
Answer 14
Question 15
A group of students was given a special test in Mathematics. The test was completed
the various students in the following time in (minutes)
24, 30, 28, 17, 22, 36, 30, 19, 32, 18, 20, 24.
………….
Answer 15
Question 16
In a Science test given to a group of students, the marks scored by them (out of 100)are
1, 39, 52, 48, 54, 62, 46, 52, 40, 96, 42, 40, 98, 60, 52.
Find the mean and median of this data.
Answer 16
Question 17
The points scored by a Kabaddi team in a series of matches are as follow
17, 2, 5, 27. 15. 8. 14, 10, 48, 10, 7, 24, 8, 28, 18.
Find the mean and the median of the points scored by the Kabaddi team
Answer 17
Question 18
The following observations have been arranged in ascending order. If the median
the data is 47-5, find the value of x.
17, 21, 23, 29, 39, 40, x, 50, 51, 54, 59, 67, 91, 93
Answer 18
Question 19
The following observations have been arranged in ascending order. If the median
the data is 13, find the value of x: ….. 0S
3, 6, 7, 10, x, x + 4, 19, 20, 25, 28.
Answer 19
EXERCISE – 20.2 Statistics ML Aggarwal Class-9 ICSE Understanding APC Solved Questions
Question 1
State which of the following variables are continuous and which are discrete:
(i)marks scored (out of 50) in a test.
(ii) daily temperature of your city.
(iii) sizes of shoes.
(iv)distance travelled by a man.
(v)time.
Answer 1
Question 2
Using class intervals 0-4, 5 -9, 10-14,
following data :
13, 6, 10, 5, 11, 14, 2, 8, 15, 16, 9, 13, 17, 11, 19, 5, 7, 12, 20, 21, 18, 1, 8, 12, 18.
Answer 2
Question 3
Given below are the marks obtained by 27 students in a test:
21, 3, 28, 38, 6, 40, 20, 26, 9, 8, 14, 18, 20, 16, 17, 10, 8, 5, 22, 27, 34, 2, 35, 31, 16, 28, 37.
………………….
Answer 3
Question 4
A Explain the meaning of the following terms :
(i) variate
(ii) class size
(iii) class mark
(iv) class limits
(v) true class limits
(vi) frequency of a class
(vii) cumulative frequency of a class.
Answer 4
Question 5
Fill in the blanks :
(i) The number of observations in a particular class is called ……of the class.
(ii) The difference between the class marks of two consecutive classes is the
of the class.
(iii) The range of the data 16, 19, 23, 13, 11, 25, 18 is.. .
(iv) The mid-point of the class interval is called its …
(v) The class mark of the class 4 – 9 is ….
Answer 5
Question 6
The marks obtained (out of 50) by 40 students in a test are given below:
28, 31, 45, 03, 05, 18, 35, 46, 49, 17, 10, 28, 31, 36, 40, 44, 47, 13, 19, 25, 24, 31, 38, 32,
27, 19, 25, 28, 48, 15, 18, 31, 37, 46, 06, 01, 20, 10, 45, 02.
(i) Taking class intervals 1- 10, 11 – 20, .., construct a tally chart and a frequency
distribution table.
at
(ii) Convert the above distribution to continuous distribution.
(iii) State the true class limits of the third class.
(iv) State the class mark of the fourth class.
Answer 6
Question 7
Use the adjoining table to find:
(i) upper and lower limits of fifth class.
…..
(ii) true class limits of the fifth class.
…..
(iii) class boundaries of the third class.
…..
(iv) class mark of the fourth class.
…..
…………………………….
Answer 7
Question 8
The marks of 200 students in a test were recorded as follows:……………..
Answer 8
Question 9
Given below are the marks secured by 35 students in a test:
41, 32, 35, 21, 11, 47, 42, 00, 05, 18, 25, 24, 29, 38, 30, 04, 14, 24, 34, 44, 48, 33, 36, 38
41, 46, 08, 34, 39, 11, 13, 27, 26, 43, 03.
Taking class intervals 0-10, 10– 20, 20 – 30.
frequency distribution table. Find the number of students obtaining below 20 marks
Answer 9
Question 10
The marks out of 100 of 50 students in a test are given below:
…………
(i) Taking a class interval of size 10, construct a frequency as well as cumulative
frequency table for the given data.
(ii) Which class has the largest frequency?
(tii) How many students score less than 40 marks?
(iv) How many students score first division (60% or more) marks?
Answer 10
Question 11
Construct the frequency distribution table from the following data:………………
State the number of children in the age group 10 – 13.
Answer 11
Question 12
Rewrite the following cumulative frequency distribution into frequency distribution:
……………….
Answer 12
Question 13
The water bills (in rupees) of 32 houses in a locality are given below. Construct a
frequency distribution table with a class size of 10.
80, 48, 52, 78, 103, 85, 37, 94, 72, 73, 66, 52, 92, 85, 78, 81, 64, 60, 75, 78, 108, 63, 71, 54,
59, 75, 100, 103, 35, 89, 95, 73.
Answer 13
Question 14
The maximum temperatures (in degree celsius) for Delhi for the month of April, 2014,
as reported by the Meteorological Department, are given below:
……………….
Answer 14
Question 15
(i) The class marks of a distribution are 9-5, 16-5, 23-5, 30-5, 37-5 and 44-5. Determine
the class size and the class limits of the third class.
………………
Answer 15
EXERCISE – 20.3 Solutions of ML Aggarwal
Question 1
The……………….was
Answer 1
Question 2
The…………………….follows.
Answer 2
Question 3
Given…………………………years.
Answer 3
Question 4
Birth……………………….is.
Answer 4
Question 5
Given…………………school.
Answer 5
Question 6
Draw…………………………data.
Answer 6
Question 7
Draw………………factory.
Answer 7
Question 8
Draw…………………………data.
Answer 8
Question 9
Draw………………..distribution.
Answer 9
Question 10
D
Answer 10
Question 11
Draw…………………….data.
Answer 11
Question 12
In…………..under.
Answer 12
Question 13
Draw…………………….data.
Answer 13
Question 14
In…………………………table.
Answer 14
Question 15
Draw…………………….data.
Answer 15
Question 16
In………………….obtained.
Answer 16
Question 17
The……………….73.
Answer 17
Question 18
The……………..distribution.
Answer 18
Question 19
The…………….distribution.
Answer 19
Question 20
The…………….below.
Answer 2
MCQ of Exercise-20 Statistics ML Aggarwal ICSE Class-9 Solutions
Question 1
.The marks obtained by 17 students in a mathematics test (out of 100) are given
below:
91, 82, 100, 100, 96, 65, 82, 76, 79,90, 46, 64, 72, 66, 68, 48, 49
The range of the data is
(b) 54
(a) 46
(d) 100
Answer 1
Question 2
The class mark of the class 90-120 is
(b) 105
(c) 115
(d) 120
Answer 2
Question 3
In a frequency distribution, the mid-value of a class is 10 and the width of the class
is 6. The lower limit of the class is
(b) 7
(c) 8
(d) 12
Answer 3
Question 4
The width of each of 5 continuous classes in a frequency distribution is 5 and the lower
limit of the lowest class is 10. The upper limit of the highest class is
(a) 15
(b) 25
(c) 35………..
Answer 4
Question 5
The class marks of a frequency distribution are given as follows:
15, 20, 25, ……
The class corresponding to the class mark 20 is
…………………
Answer 5
Question 6
In the class intervals 10 – 20, 20 – 30, the number 20 is included in
(a) 10-20
(b) 20 – 30
……………………
Answer 6
Question 7
A grouped frequency distribution table with class intervals of equal size …………
250 270 (270 not included in this interval) as one of the class intervals is constructed……….
268, 220, 368, 258, 242, 310, 272, 342, 310, 290, 300, 320, 319, 304, 402, 318, 406 ………..
Answer 7
Question 8
The mean of x- 1, x + 1, x + 3 and x + 5 is…….
Answer 8
Question 9
The mean of five numbers is 30. If one number is excluded, their mean …..
The excluded number is……
Answer 9
Question 10
If the mean of x1, x, is 7.5, and the mean of x1, X2, x3 is………….
Answer 10
Question 11
If each observation of the data is increased by 5, then their mean…………
Answer 11
Question 12
The mean of 100 observations is 50. If one of the observation which was 50 is replaced
by 150, the resulting mean will be
(a) 50-5
(b) 51
(c) 51-5
(d) 52
Answer 12
Question 13
For drawing a frequency polygon of a continuous frequency distribution, we plot the
points whose ordinates are the frequencies of the respective classes and abscissae are
respectively:
(a) upper limits of the classes
(c) class marks of the classes
(b) lower limits of the classes
(d) upper limits of preceding classes
Answer 13
Question 14
Median of the numbers 4, 4, 5, 7, 6, 7, 7, 3, 12 is
Answer 14
Question 15
The median of the data…………
Answer 15
Question 16
In a data, 10 numbers are arranged in ascending order. If the 8th entry is increased by
…………..
Answer 16
Chapter-Test Statistics Class-9 Understanding Maths ML Aggarwal Solutions Chapter-20
Question 1
Find the ………….
8, 8 5, 3, 2 9………..
Answer 1
Question 2
Find …………..of 48.
Answer 2
Question 3
The mean weight………students
Answer 3
Question 4
The mean…………….age
Answer 4
Question 5
If The mean……………observations
Answer 5
Question 6
The mean height………height
Answer 6
Question 7
The mean…………..mean.
Answer 7
Question 8
The following…………..91
Answer 8
Question 9
Draw……………marks
Answer 9
Question 10
In…………………under.
Answer 10
Question 11 Statistics ML Aggarwal Class-9 ICSE
Construct…………….distribution.
Answer 11
Question 12
The ………………polygonthe
Answer 12
Question 13
The …………………data.
Answer 13
Question 14
The…………distribution.
Answer 14
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