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Draw a Histogram of the Following Data. Height of Student (Cm) 135 - 140 140 - 145 145 - 150 150 - 155 No. of Students 4 12 16 8 - Algebra Mathematics 1

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प्रश्न

Draw a histogram of the following data.

Height of student (cm) 135 - 140 140 - 145 145 - 150 150 - 155
No. of students 4 12 16 8
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उत्तर

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अध्याय 6: Statistics - Practice Set 6.4 [पृष्ठ १५३]

संबंधित प्रश्न

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

Marks Scored Number of Students
0 — 20 3
20 — 40 8
40 — 60 19
60 — 80 18
80 — 100 6

Draw histogram for the above data.


Draw the frequency polygon for the following frequency distribution

Rainfall (in cm) No. of Years
20 — 25 2
25 — 30 5
30 — 35 8
35 — 40 12
40 — 45 10
45 — 50 7

Given below is the frequency distribution of driving speeds (in km/hour) of the vehicles of 400 college students:

Speed (in km/hr) No. of Students
20-30 6
30-40 80
40-50 156
50-60 98

60-70
60

Draw Histogram and hence the frequency polygon for the above data.


In the following table, the investment made by 210 families is shown. Present it in the form of a histogram.

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

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?

Show the following data by a frequency polygon.
Electricity bill (₹) 0 - 200 200 - 400 400 - 600 600 - 800 800 - 1000
Families 240 300 450 350 160

The following table shows the classification of percentages of marks of students and the number of students. Draw a frequency polygon from the table.
Result (Percentage) 30 - 40 40 - 50 50 - 60 60 -70 70 - 80 80 - 90 90 - 100
No. of students 7 33 45 65 47 18 5

Find the correct answer from the alternatives given.

No. of trees planted by each student

1 - 3 4 - 6 7 - 9 10 - 12
No. of students 7 8 6 4

The above data is to be shown by a frequency polygon. The coordinates of the points to show number of students in the class 4-6 are . . . . 


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

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?


Construct histograms for following frequency distribution: 

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

Construct histograms for following frequency distribution: 

Class Interval  130-140  140-150  150-160  160-170  170-180 
Frequency  24 16 29 20 11

The time taken, in seconds, to solve a problem for each of 25 persons is as follows:

16 20 26 27 28
30 33 37 38 40
42 43 46 46 47
48 49 50 53 58
59 60 64 52 20

(i) Construct a frequency distribution for these data using a class interval of 10 seconds.
(ii) In a school the weekly pocket money of 50 students is as follow's:

Weekly pocket money (₹) No. of student
40 - 50 2
59 - 60 8
60 - 70 12
70 - 80 14
80 - 90 8
90 - 100 6

Draw a histogram and a frequency polygon on the same graph. Find mode from the graph.


Identify the following data can be represented in a histogram?

The number of votes polled from 7 am to 6 pm in an election


The graphical representation of grouped data is _________


In a histogram ______ are drawn with width equal to a class interval without leaving any gap in between.


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


Use graph paper for this question. Estimate the mode of the given distribution by plotting a histogram. [Take 2 cm = 10 marks along one axis and 2 cm = 5 students along the other axis]

Daily wages (in ₹) 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80
No. of Workers 6 12 20 15 9

The given graph with a histogram represents the number of plants of different heights grown in a school campus. Study the graph carefully and answer the following questions:

  1. Make a frequency table with respect to the class boundaries and their corresponding frequencies.
  2. State the modal class.
  3. Identify and note down the mode of the distribution.
  4. Find the number of plants whose height range is between 80 cm to 90 cm.

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