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

The table below shows the yield of jowar per acre. Show the data by histogram. Yield per acre (quintal) 2 - 3 4 - 5 6 - 7 8 - 9 10 - 11 No. of farmers 30 50 55 40 20

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प्रश्न

The table below shows the yield of jowar per acre. Show the data by histogram.

Yield per acre (quintal) 2 - 3 4 - 5 6 - 7 8 - 9  10 - 11
No. of farmers 30 50 55 40 20
आलेख
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उत्तर

The given classes are not continuous. Converting into the continuous classes, we get

Yield per acre (quintal) Class (continuous) No. of farmers
2 - 3 1.5 - 3.5 30
4 - 5 3.5 - 5.5 50
6 - 7 5.5 - 7.5 55
8 - 9 7.5 - 9.5 40
10 - 11 9.5 - 11.5 20
 
The histogram for the above data is given below:
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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Statistics - Practice Set 6.4 [पृष्ठ १५३]

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 number of hours for which students of a particular class watched television during holidays is shown through the given graph.

Answer the following

1) For how many hours did the maximum number of students watch TV?

2) How many students watched TV for less than 4 hours?

3) How many students spent more than 5 hours in watching TV?


Draw histogram and frequency polygon on the same graph paper for the following frequency distribution

Class Frequency
15-20 20
20-25 30
25-30 50
30-35 40
35-40 25
40-45 10

 


The histogram below represents the scores obtained by 25 students in a mathematics mental test. Use the data to:

  1. Frame a frequency distribution table.
  2. To calculate mean.
  3. To determine the Modal class.


Draw histogram for the following frequency distributions: 

Class Interval  30 – 39 40 – 49 50 – 59 60 – 69 70 – 79
 Frequency  24 16 09 15 20

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 . . . . 


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: 

Marks  25 30 35 40 45 50
No. of students 6 15 12 10 18 9

Construct histograms for following frequency distribution: 

Class Mark  15 25 35 45 50 55 60
Frenuencv  6 12 15 18 25 14 10

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

Class Mark 10 15 20 25 30 35 40
Frequency 4 20 40 45 30 25 5

Represent the following data by histogram:

Price of sugar Per kg (in Rs)  Number of weeks 
28-30 4
30-32 8
32-34 22
34-36 12
36-38 6

A graph that displays data that changes continuously over the periods of time is _________ 


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?


Draw a histogram for the following data.

Class Interval 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60
No. of students 5 15 23 20 10 7

The height of a rectangle in a histogram shows the ______.


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


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


The following pictorial representation of data is a histogram.


The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.

  1. Write the classes assuming all the classes are of equal width.
  2. What is the classes width?
  3. In which age group are literate females the least?
  4. In which age group is the number of literate females the highest?

The following table shows the classification of percentage of marks of students and the number of students. Draw frequency polygon from the table without drawing histogram:

Result (Percentage) Number of Students
20 - 40 25
40 - 60 65
60 - 80 80
80 - 100 15

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