English

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools: (a) What is the class width?(b) How many teachers are having the maximum - Mathematics

Advertisements
Advertisements

Question

The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools:

  1. What is the class width?
  2. How many teachers are having the maximum teaching experience and how many have the least teaching experience?
  3. How many teachers have teaching experience of 10 to 20 years?
Sum
Advertisements

Solution

  1. In the histogram, we see that the class width is 5.
  2. By the histogram, it is clear that two teachers have the maximum teaching experience, i.e. 15 – 20 years, and five teachers have the least teaching experience, i.e. 0 – 5 years.
  3. The number of teachers having experience from 10 to 20 years is 7 + 2, i.e. 9.
shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Data Handling - Exercise [Page 57]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 8
Chapter 2 Data Handling
Exercise | Q 105. | Page 57

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Represent the following data by Histogram:

Price of Sugar per kg

         (in Rs.)

       Number of Weeks
18-20 4
20-22 8
22-24 22
24-26 12
26-28 8
28-30 6

The weekly wages (in Rs) of 30 workers in a factory are.

830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 835, 836, 878, 840, 868, 890, 806, 840

Using tally marks make a frequency table with intervals as 800 − 810, 810 − 820 and so on.


Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.

(1) Which group has the maximum number of workers?

(2) How many workers earn Rs 850 and more?

(3) How many workers earn less than Rs 850?


A Mathematics aptitude test of 50 students was recorded as follows:

Marks 50 - 60 60 - 70 70 - 80 80 - 90 90 – 100
No. of Students 4 8 14 19 5

Draw a histogram from the above data using a graph paper and locate the mode.


The following table shows the investment made by some families. Show
the information by a histogran. 

Investment
(Thousand Rupees)
10-15 15-20 20-25 25-30 30-35
No. of families 30 50 60 55 15

 

 


Draw a histogram of the following data:

Class interval: 10−15 15−20 20−25 25−30 30−35 34−40
Frequency: 30 98 80 58 29 50

In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:

114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.

Draw the histogram of the frequency distribution (taking one of the class intervals as 50 − 100).


Draw a histogram to represent the following data:

Monthly salary (in Rs) Number of teachers
5600−5700 8
5700−5800 4
5800−5900 3
5900−6000 5
6000−6100 2
6100−6200 3
6200−6300 1
6300−6400 2

The following histogram shows the number of literate females in the age group of 10 to 40 years in a town:

(i) Write the age group in which the number of literate female is the highest.
(ii) What is the class width?
(iii) What is the lowest frequency?
(iv) What are the class marks of the classes?
(v) In which age group literate females are the least?


Below is the histogram depicting marks obtained by 43 students of a class:
(i) Write the number of students getting the highest marks.
(ii) What is the class size?


Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions: 

Shoe size  5 6 7 8 9 10 11
Frequency 8 1 7 14 11 5 4

Construct histograms for following frequency distribution: 

Class Interval  1-10  11-20  21-30  31-40  41-50 
Frequency  11 23 30 20 16

The marks scored by students in Mathematics in a certain examination are given below :

Marks Scored Number of Students
0 - 20  6
20 - 40 9
40 - 60 14
60 - 80 16
80 - 100 5

Draw histogram for the above data.


Identify the following data can be represented in a histogram?

The number of students in each class of a school


The total area of the histogram is _________ to the total frequency of the given data


The graphical representation of ungrouped data is ________


Draw a histogram for the following data.

Mid Value (x) 15 25 35 45 55 65 75
Frequency (f) 12 24 30 18 26 10 8

Histogram shows the number of people owning the different number of books. Answer the question based on it.


The number of people having books more than 20 and less than 40 is ______.


The top speeds of thirty different land animals have been organised into a frequency table. Draw a histogram for the given data.

Maximum Speed (km/h) Frequency
10 – 20 5
20 – 30 5
30 – 40 10
40 – 50 8
50 – 60 0
60 – 70 2

Show the following data by a frequency polygon:

Electricity bill (₹) Families
200 – 400 240
400 – 600 300
600 – 800 450
800 – 1000 350
1000 – 1200 160

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×