English

Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement. - Mathematics

Advertisements
Advertisements

Question

Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.

Correct and Rewrite
Advertisements

Solution

As we know that in a histogram, the area of each rectangle is proportional to the corresponding frequency of its class.

Hence, the given statement is not correct.

shaalaa.com
  Is there an error in this question or solution?
Chapter 14: Statistics & Probability - Exercise 14.2 [Page 137]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 9
Chapter 14 Statistics & Probability
Exercise 14.2 | Q 5. | Page 137

RELATED QUESTIONS

The following table gives the distribution of students of two sections according to the mark obtained by them:-

Section A Section B
Marks Frequency Marks Frequency
0 - 10 3 0 - 10 5
10 - 20 9 10 - 20 19
20 - 30 17 20 - 30 15
30 - 40 12 30 - 40 10
40 - 50 9 40 - 50 1

Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.


Given below (Fig. below) is the bar graph indicating the marks obtained out of 50 in mathematics paper by 100 students. Read the bar graph and answer the following questions:

(i) It is decided to distribute work books on mathematics to the students obtaining less than 20 marks, giving one workbook to each of such students. If a work book
costs Rs 5, what sum is required to buy the work books?
(ii) Every student belonging to the highest mark group is entitled to get a prize of Rs. 10. How much amount of money is required for distributing the prize money?
(iii) Every student belonging to the lowest mark—group has to solve 5 problems per day. How many problems, in all, will be solved by the students of this group per day?
(iv) State whether true or false.
a. 17% students have obtained marks ranging from 40 to 49.
b. 59 students have obtained marks ranging from 10 to 29.
(v) What is the number of students getting less than 20 marks?
(vi) What is the number of students getting more than 29 marks?
(vii) What is the number of students getting marks between 9 and 40?
(viii) What is the number of students belonging to the highest mark group?
(ix) What is the number of students obtaining more than 19 marks?


The following table shows the daily production of T. V. sets in an industry for 7 days of a week:

Day Mon Tue Wed Thurs Fri Sat Sun
Number of T.V. Sets 300 400 150 250 100 350 200

Represent the above information by a pictograph .


The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:
 

Year 1992 1993 1994 1995 1996
Loan
(in crores of rupees)
 
28 33 55 55 80

(i) Represent the above data with the help of a bar graph.
(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.


The investment (in ten crores of rupees) of Life Insurance Corporation of India in different sectors are given below:

Sectors Investment
(in ten crores of rupees)
Central Government Securities
State Government Securities
Securities guaranteed by the Government
Private Sectors
Socially oriented sectors (Plans)
Socially oriented sectors (Non-Plan)
45
11
23
18
46
11

Represent the above data with the help of bar graph.


The time taken, in seconds, to solve a problem by each of 25 pupils is as follows:
16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53, 58, 59, 60, 64, 52, 20
(a) Construct a frequency distribution for these data, using a class interval of 10 seconds.
(b) Draw a histogram to represent the frequency distribution.


Draw frequency polygons for each of the following frequency distribution:
(a) using histogram
(b) without using histogram

C.I

5 -15 15 -25 25 -35 35 - 45 45-55 55-65
ƒ  8 16 18 14 8 2

The frequency distribution has been represented graphically as follows:

Marks 0 – 20  20 – 40 40 – 60 60 – 100
Number of Students 10 15 20 25


Do you think this representation is correct? Why?


In a diagnostic test in mathematics given to students, the following marks (out of 100) are recorded:

46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44

Which ‘average’ will be a good representative of the above data and why?


The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table:

Length (in mm) Number of leaves
118 – 126 8
127 – 135 10
136 – 144 12
145 – 153 17
154 – 162 7
163 – 171 5
172 – 180 3

Draw a histogram to represent the data above.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×