मराठी

The following table gives the frequencies of most commonly used letters a, e, i, o, r, t, u from a page of a book: Letters a e i o r t u Frequency 75 125 80 70 80 95 75

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प्रश्न

The following table gives the frequencies of most commonly used letters a, e, i, o, r, t, u from a page of a book:

Letters a e i o r t u
Frequency 75 125 80 70 80 95 75

Represent the information above by a bar graph.

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उत्तर

We represent the letter as a variable on the x-axis and frequency on the y-axis.

According to the given table, we can choose the scale as 1 unit = 15 frequency.

To represent our first letter that is a, we draw a rectangular bar with width 1 unit and height 5 units.

Similarly, other heads are represented by leaving a gap of `1/2` unit in between two consecutive bars.

The bar graph for given data is shown below:

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 14: Statistics & Probability - Exercise 14.3 [पृष्ठ १४१]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 9
पाठ 14 Statistics & Probability
Exercise 14.3 | Q 8. | पृष्ठ १४१

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संबंधित प्रश्‍न

The following table gives the life times of 400 neon lamps:-

Life time (in hours) Number of lamps
300 - 400 14
400 - 500 56
500 - 600 60
600 - 700 86
700 - 800 74
800 - 900 62
900 - 1000 48
  1. Represent the given information with the help of a histogram.
  2. How many lamps have a life time of more than 700 hours?

100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

Number of letters Number of surnames
1 - 4 6
4 - 6 30
6 - 8 44
8 - 12 16
12 - 20 4
  1. Draw a histogram to depict the given information.
  2. Write the class interval in which the maximum number of surnames lie.

Study the bar graph representing the number of persons in various age groups in a town shown in Fig. below. Observe the bar graph and answer the following questions:
(i) What is the percentage of the youngest age-group persons over those in the oldest age group?
(ii) What is the total population of the town?

(iii) What is the number of persons in the age group 60 - 65?
(iv) How many persons are more in the age-group 10 - 15 than in the age group 30 - 35?
(v) What is the age-group of exactly 1200 persons living in the town?
(vi) What is the total number of persons living in the town in the age-group 50 - 55?
(vii) What is the total number of persons living in the town in the age-groups 10 - 15 and 60 - 65?

(viii) Whether the population in general increases, decreases or remains constant with the increase in the age-group.


The bar graph shown in Fig 23.16 represents the circulation of newspapers in 10 languages. Study the bar graph and answer the following questions:

(i) What is the total number of newspapers published in Hindi, English, Urdu, Punjabi and Bengali?
(ii) What percent is the number of news papers published in Hindi of the total number of newspapers?
(iii) Find the excess of the number of newspapers published in English over those published in Urdu.
(iv) Name two pairs of languages which publish the same number of newspapers.
(v) State the language in which the smallest number of newspapers are published.
(vi) State the language in which the largest number of newspapers are published.
(vii) State the language in which the number of newspapers published is between 2500 and 3500.
(viii) State whether true or false:
a. The number of newspapers published in Malayalam and Marathi together is less than those published in English.
b. The number of newspapers published in Telugu is more than those published in Tamil.


The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years:

Year 1992 1993 1994 1995 1996 1997
Manure
(in thousand tonnes)
15 35 45 30 40 20

(i) Represent the above data with the help of a bar graph.

(ii) Indicate with the help of the bar graph the year in which the amount of manufactured by the company was maximum.


(iii) Choose the correct alternative:
The consecutive years during which there was maximum decrease in manure production are:
(a) 1994 and 1995
(b) 1992 and 1993
(c) 1996 and 1997
(d) 1995 and 1996


The income and expenditure for 5 years of a family is given in the following data:

Years 1995-96 1996-97 1997-98 1998-99 1999-2000
Income
(Rs. inthousands)
100 140 150 170 210
Expenditure
(Rs. in thousands)
80 130 145 160 190

Represent the above data by a gar graph.


In a histogram, each class rectangle is constructed with base as


A hundred students from a certain locality use different modes of travelling to school as given below. Draw a bar graph.

Bus  Car Rickshaw Bicycle Walk
32 16 24 20 8

Harmeet earns Rs.50 000 per month. He a budget for his salary as per the following table:

Expenses Accommodation Food Clothing Travel Miscellaneous saving
Amount (Rs.) 12000 9000 2500 7500 4000 15000

Draw a bar graph for the above data.


Following table shows a frequency distribution for the speed of cars passing through at a particular spot on a high way:

Class interval (km/h) Frequency
30 – 40 3
40 – 50 6
50 – 60 25
60 – 70 65
70 – 80 50
80 – 90 28
90 – 100 14

Draw a histogram and frequency polygon representing the data above.


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