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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Time Alloted for the Preparation of an Examination by Some Students is Shown in the Table. Draw a Histogram to Show the Information. - Algebra Mathematics 1

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प्रश्न

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
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उत्तर

The histogram for the given data is

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Statistics - Practice Set 6.4 [पृष्ठ १५३]

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बालभारती Algebra (Mathematics 1) [English] Standard 10 Maharashtra State Board
पाठ 6 Statistics
Practice Set 6.4 | Q 4 | पृष्ठ १५३

संबंधित प्रश्‍न

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

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.


Draw histogram for the following frequency distributions:

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

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

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

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 frequency distribution f the ages of 22 teachers in a school:

(i) What is the number of eldest and youngest teachers in the school?
(ii) Which age group teachers are more in the school and which least?
(iii) What is the size of the classes?
(iv) What are the class marks of the classes?


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 a frequency polygon without using a histogram for the following frequency distribution :

Class Interval  1-10 11-20 21-30 31-40 41-50
Frequency 8 12 10 16 6

Draw a histogram for the following frequency distribution.

Use of electricity (Unit)
50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 150 - 170
No. of families 150 400 460 540 600 350

Draw histogram and hence 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

(Use a graph paper for this question.) The daily pocket expenses of 200 students in a school are given below:

Pocket expenses
(in ₹)
Number of students
(frequency)
0 - 5 10
5 - 10 14
10 - 15 28
15 - 20 42
20 - 25 50
25 - 30 30
30 - 35 14
35 - 40 12

Draw a histogram representing the above distribution and estimate the mode from the graph.


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


The graphical representation of grouped 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 owning books less than 40 is ______.


From the histogram given on the right, we can say that 1500 males above the age of 20 are literate.


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

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