Chapter 22 : Statistics - Frank Solutions for Class 9 Maths ICSE

Mathematics in ICSE Class 9 is one of the most challenging and trickiest subjects of all. It includes complex topics such as logarithms, expansions, indices and Pythagoras Theorem which are difficult to understand for an average student. TopperLearning provides study materials for ICSE Class 9 Mathematics to make the subject easy and help students to clear all their concepts. Our study materials comprise numerous video lessons, question banks, revision notes and sample papers which help achieve success in the examination.

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Chapter 22 - Statistics Excercise Ex. 22.1

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6

Find the actual (or true) lower and upper class limits and class-marks (or mid values) of the following classes: 2.1 - 4.0, 4.1 - 6.0 and 6.1 - 8.0.

Solution 6

Question 7

Observe the given frequency table to answer the following:

Class Interval

20-24

25-29

30-34

35-39

40-44

45-49

Frequency

6

12

10

15

9

2

 

a. The true class limits of the fifth class.

b. The size of the second class.

c. The class boundaries of the fourth class.

d. The upper and lower limits of the sixth class.

e. The class mark of the third class.

Solution 7

Question 8

Solution 8

Question 9

Solution 9


 
Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Chapter 22 - Statistics Excercise Ex. 22.2

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5

Construct a frequency distribution table from the given cumulative frequency distribution showing the weights of 750 students in a school:

 

Weight (in kg)

c.f.

More Than 25

750

More Than 30

640

More Than 35

615

More Than 40

485

More Than 45

370

More Than 50

220

More Than 55

124

More Than 60

49

More Than 65

24

More Than 70

0

 

a. Find the number of students whose weight lie in the interval 40-45

b. Find the interval which has the most number of students.

Solution 5

Frequency distribution table is as follows:

 

Weight (in kg)

c.f.

25 - 30

110 (750 - 640)

30 - 35

25 (640 - 615)

35 - 40

130 (615 - 485)

40 - 45

115 (485 - 370)

45 - 50

150 (370 - 220)

50 - 55

96 (220 - 124)

55 - 60

75 (124 - 49)

60 - 65

25 (49 - 25)

65 - 70

24 (24 - 0)

70 - 75

0

 

a. The number of students whose weight lie in the interval 40 - 45 is 115.

b. The interval 45 - 50 has the most number of students.

Chapter 22 - Statistics Excercise Ex. 22.3

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6

The daily maximum relative humidity (in per cent) in Mumbai from May 1 to May 7, 1992 is given below:

64, 70, 65, 80, 75, 78

Find the mean.

Solution 6

Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12

The mean of 16 natural numbers is 48. Find the resulting mean, if each of the number is

a. increased by 5

b. decreased by 8

c. multiplied by 4

d. divided by 0.25

e. increased by 50%

f. decreased by 10%

Solution 12

Question 13

The mean of 4 observations is 20. If one observation is excluded, the mean of the remaining observations becomes 15. Find the excluded observation.

Solution 13

Question 14

The mean monthly income of 8 men is Rs. 8079.75. A man whose monthly income is Rs. 8280 has also been taken into consideration. Calculate the mean monthly income of all the men.

Solution 14

Question 15

The mean of 200 observations is 20. It is found that the value of 180 is wrongly copied as 280. Find the actual mean.

Solution 15

Question 16

Solution 16

Question 17
Solution 17
Question 18

Solution 18

Question 19

The following data has been arranged in ascending order.

0, 1, 2, 3, x + 1, x + 5, 20, 21, 26, 29.

Find the value of x, if the median is 5.

Solution 19

Question 20

Solution 20

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