मराठी

Draw a Histogram and Frequency Polygon to Represent the Following Data (On the Same Scale) Which Shows the Monthly Cost of Living Index of a City in a Period of 2 Years: - Mathematics

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प्रश्न

Draw a histogram and frequency polygon to represent the following data (on the same scale) which shows the monthly cost of living index of a city in a period of 2 years:

Cost of living Index Number of months
440 - 460 2
460 - 480 4
480 - 500 3
500 - 520 5
520 - 540 3
540 - 560 2
560 - 580 1
580 - 600 4
Total  24
आलेख

उत्तर

Histogram and frequency polygon representing the cost of living index of city in a period of 2 years:

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पाठ 19: Statistics - Graphical Depiction

APPEARS IN

आईसीएसई Mathematics [English] Class 10
पाठ 19 Statistics
Graphical Depiction | Q 13

संबंधित प्रश्‍न

Represent the following data by Histogram:

Price of Sugar per kg

         (in Rs.)

       Number of Weeks
18-20 4
20-22 8
22-24 22
24-26 12
26-28 8
28-30 6

The following is the frequency distribution of waiting time at ATM centre; draw histogram to represent the data:

Waiting time
(in seconds)
Number of
Customers
0 -30 15
30 - 60 23
60 - 90 64
90 - 120 50
120 - 150 5

Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.

(1) Which group has the maximum number of workers?

(2) How many workers earn Rs 850 and more?

(3) How many workers earn less than Rs 850?


Draw histogram for the following frequency distributions: 

Class Interval  10 – 16 16 – 22 22 – 28 28 – 34 34 – 40
Frequency  15 23 30 20 16 

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

Given below is the frequency distribution of the heights of 50 students of a class:

Class interval: 140−145 145−150 150−155 155−160 160−165
Frequency: 8 12 18 10 5

Draw a histogram representing the above data.


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 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?


Identify the following data can be represented in a histogram?

Production of cycles in different years


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?


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

Draw a histogram for the given frequency distribution

Age 41 − 45 46 − 50 51 − 55 56 − 60 61 − 65 66 − 70 71 − 75
Frequency 4 9 17 25 15 8 2

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

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


Look at the histogram below and answer the questions that follow.

  1. How many students have height more than or equal to 135 cm but less than 150 cm?
  2. Which class interval has the least number of students?
  3. What is the class size?
  4. How many students have height less than 140 cm?

Prepare a histogram from the frequency distribution table obtained in question 93.


The table given below shows the runs scored by a cricket team during the overs of a match.

Overs Runs scored
20 – 30 37
30 – 40 45
40 – 50 40
50 – 60 60
60 – 70 51
70 – 80 35

Use graph sheet for this question.

Take 2 cm = 10 overs along one axis and 2 cm = 10 runs along the other axis.

  1. Draw a histogram representing the above distribution.
  2. Estimate the modal runs scored.

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