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प्रश्न
Construct a histogram for the following data:
Monthly school fee (in Rs): | 30−60 | 60−90 | 90−120 | 120−150 | 150−180 | 180−210 | 210−240 |
Number of schools: | 5 | 12 | 14 | 18 | 10 | 9 | 4 |
उत्तर
The class limits are represented along the x-axis and the frequencies along the y-axis on a suitable scale. Taking class intervals as bases and corresponding frequencies as heights of the rectangles, the histogram of the given data can be obtained as shown in the figure below:
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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 shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning
W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W G W M M W W M W G W M G W M M B G G W
Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.
The weekly wages (in Rs) of 30 workers in a factory are.
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
Using tally marks make a frequency table with intervals as 800 − 810, 810 − 820 and so on.
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 for the following frequency distributions:
Class Interval | 30 – 39 | 40 – 49 | 50 – 59 | 60 – 69 | 70 – 79 |
Frequency | 24 | 16 | 09 | 15 | 20 |
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 |
Electricity bill (₹) | 0 - 200 | 200 - 400 | 400 - 600 | 600 - 800 | 800 - 1000 |
Families | 240 | 300 | 450 | 350 | 160 |
The following histogram shows the number of literate females in the age group of 10 to 40 years in a town:
(i) Write the age group in which the number of literate female is the highest.
(ii) What is the class width?
(iii) What is the lowest frequency?
(iv) What are the class marks of the classes?
(v) In which age group literate females are the least?
Construct histograms for following frequency distribution:
Class Interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
Frequency | 8 | 20 | 34 | 22 | 10 | 6 |
Construct a frequency polygon without using a histogram for the following frequency distribution :
Class Interval | 10-20 | 20-40 | 40-60 | 60-80 | 80-100 |
Frequency | 9 | 17 | 15 | 20 | 14 |
Draw the Histogram and hence, the frequency polygon for the following frequency distribution:
House Rent (In ₹ per month) | 400-600 | 600-800 | 800-1000 | 1000-1200 |
Number of families | 200 | 240 | 300 | 50 |
Following table present educational level (middle stage) of females in Arunachal pradesh according to 1981 census:
Age group | Number of females (to the nearest ten) |
10 - 14 | 300 |
15 - 19 | 980 |
20 - 24 | 800 |
25 - 29 | 380 |
30 - 34 | 290 |
Draw a histogram to represent the above data.
Draw a histogram to represent the following data:
Pocket money in ₹ | No. of Students |
150 - 200 | 10 |
200 - 250 | 5 |
250 - 300 | 7 |
300 - 350 | 4 |
350 - 400 | 3 |
Identify the following data can be represented in a histogram?
Production of cycles in different years
Form a continuous frequency distribution table and draw histogram from the following data.
Age (in years) | No. of persons |
Under 5 | 1 |
Under 10 | 12 |
Under 15 | 19 |
Under 20 | 26 |
Under 25 | 27 |
Under 30 | 35 |
Under 35 | 38 |
Under 40 | 45 |
Under 45 | 48 |
Under 50 | 53 |
Represent the following data by histogram:
Price of Sugar (per kg in ₹) | Number of Weeks |
18 – 20 | 4 |
20 – 22 | 8 |
22 – 24 | 22 |
24 – 26 | 12 |
26 – 28 | 6 |
28 – 30 | 8 |
The number of people having books more than 20 and less than 40 is ______.
The top speeds of thirty different land animals have been organised into a frequency table. Draw a histogram for the given data.
Maximum Speed (km/h) | Frequency |
10 – 20 | 5 |
20 – 30 | 5 |
30 – 40 | 10 |
40 – 50 | 8 |
50 – 60 | 0 |
60 – 70 | 2 |
Prepare a histogram from the frequency distribution table obtained in question 93.
The following histogram shows the frequency distribution of teaching experiences of 30 teachers in various schools:
- What is the class width?
- How many teachers are having the maximum teaching experience and how many have the least teaching experience?
- How many teachers have teaching experience of 10 to 20 years?