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Construct Histograms for Following Frequency Distribution: Class Interval 1-10 11-20 21-30 31-40 41-50 Frequency 11 23 30 20 16

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प्रश्न

Construct histograms for following frequency distribution: 

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

Steps : 

a. Make the class intervals continuous by subtracting 0.5 from the lower limit of each class and add 0.5 to the upper limit of each class .

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
0.5-10.5 11
10.5-20.5 23
20.5-30.5 30
30.5-40.5 20
40.5-50.5 16

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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 1.03

संबंधित प्रश्न

For which of these would you use a histogram to show the data?

(a) The number of letters for different areas in a postman’s bag.

(b) The height of competitors in an athletics meet.

(c) The number of cassettes produced by 5 companies.

(d) The number of passengers boarding trains from 7:00 a.m. to 7:00 p.m. at a station.

Give reasons for each.


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.


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.


Observe the following frequency polygon and write the answers of the questions below it.

  1. Which class has the maximum number of students?
  2. Write the classes having zero frequency.
  3. What is the class-mark of the class, having frequency of 50 students?
  4. Write the lower and upper class limits of the class whose class mark is 85.
  5. How many students are in the class 80-90?

Draw a histogram and frequency polygon to represent the following data (on the same scale) which shows the monthly cost of living index of a city in a period of 2 years:

Cost of living Index Number of months
440 - 460 2
460 - 480 4
480 - 500 3
500 - 520 5
520 - 540 3
540 - 560 2
560 - 580 1
580 - 600 4
Total  24

Draw a histogram to represent the following data:

Pocket money in ₹ No. of Students
150 - 200 10
200 - 250 5
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300 - 350 4
350 - 400 3

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 of them use the cell phone for more than 5 hours?


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

Are people using cell phone for less than 1 hour?


Histogram is a graph of a ________ frequency distribution


In a histogram, class intervals and frequencies are taken along ______ axis and ______ axis.


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