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Construct Histograms for Following Frequency Distribution: Class Interval 110-119 120-129 130-139 140-149 150-159 Frequency 15 23 30 20 16 - Mathematics

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प्रश्न

Construct histograms for following frequency distribution: 

Class Interval  110-119 120-129  130-139  140-149  150-159 
Frequency  15 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 intervals.

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
109.5-119.5 15
119.5-129.5 23
129.5-139.5 30
139.5-149.5 20
149.5-159.5 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 1.04

संबंधित प्रश्न

Draw histogram for the following frequency distributions:

Class Marks  16 24 32 40 48 56 64
Frequency  8 12 15 18 25 19 10

Time alloted for the preparation of an examination by some students is shown in the table. Draw a histogram to show the information.

Time (minutes) 60 - 80 80 - 100 100 - 120 120 - 140 140 - 160
No. of students 14 20 24 22 16

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?

The weekly wages (in Rs.) of 30 workers in a factory are given:
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
Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
(i) Which group has the maximum number of workers?
(ii) How many workers earn Rs 850 and more?
(iii) How many workers earn less than Rs 850?


Draw the histogram for the following frequency distribution and hence estimate the mode for the distribution.

Class Frequency
0 - 5 2
5 - 10 7
10 - 15 18
15 - 20 10
20 - 25 8
25 - 30 5
Total 24

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


Histogram is a graphical representation of ___________ data


Construct a histogram from the following distribution of total marks of 40 students in a class.

Marks 90 − 110 110 − 130 130 − 150 150 − 170 170 − 190 190 − 210
No. of Students 9 5 10 7 4 6

The following pictorial representation of data is a histogram.


Draw a histogram to represent the frequency distribution in question 91.


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