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Construct Histograms for Following Frequency Distribution: Class Mark 6 12 18 24 30 36 Frequency 8 12 15 18 25 7 - Mathematics

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प्रश्न

Construct histograms for following frequency distribution: 

Class Mark  6 12 18 24 30 36
Frequency 8 12 15 18 25 7
योग
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उत्तर

Steps : 

a. Make the class intervals continuous by taking class mark as midpoints.

b. On the x-axis, take 1 cm as 5 units and plot class interval.

c. On the y-axis , take 1 cm as 5 units and plot frequency.

d. Draw rectangles of histogram as per given data.

Class Interval Frequency
3-9 8
9-15 12
15-21 15
21-27 18
27-33 25
33-39 7

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अध्याय 23: Graphical Representations - Exercise

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फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 23 Graphical Representations
Exercise | Q 1.06

संबंधित प्रश्न

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 histogram for the following frequency distributions: 

Class Interval  0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60
Frequency  12 20 26 18 10 6

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 monthly wages (in Rs) of workers in a factory:

(i) In which wage-group the largest number of workers are being kept? What is their number?
(ii)  What wages are the least number of workers getting? What is the number of such workers?
(iii) What is the total number of workers?
(iv) What is the factory 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

Identify the following data can be represented in a histogram?

The wickets fallen from 1 over to 50th over in a one day cricket match


In a village, there are 570 people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn

How many people use the cell phone for less than 3 hours?


Draw a histogram for the following data.

Class Interval 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60
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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 ______.


Look at the histogram below and answer the questions that follow.

  1. How many students have height more than or equal to 135 cm but less than 150 cm?
  2. Which class interval has the least number of students?
  3. What is the class size?
  4. How many students have height less than 140 cm?

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