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प्रश्न
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 |
उत्तर
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संबंधित प्रश्न
Given below is the frequency distribution of driving speeds (in km/hour) of the vehicles of 400 college students:
Speed (in km/hr) | No. of Students |
20-30 | 6 |
30-40 | 80 |
40-50 | 156 |
50-60 | 98 |
60-70 |
60 |
Draw Histogram and hence the frequency polygon for the above data.
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.
Observe the following frequency polygon and write the answers of the questions below it.
- Which class has the maximum number of students?
- Write the classes having zero frequency.
- What is the class-mark of the class, having frequency of 50 students?
- Write the lower and upper class limits of the class whose class mark is 85.
- How many students are in the class 80-90?
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 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?
Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions:
Variate | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Frequency | 1 | 2 | 3 | 1 | 2 | 4 | 2 | 1 | 1 | 2 | 1 |
Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions:
Shoe size | 5 | 6 | 7 | 8 | 9 | 10 | 11 |
Frequency | 8 | 1 | 7 | 14 | 11 | 5 | 4 |
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 histograms for following frequency distribution:
Class Mark | 15 | 25 | 35 | 45 | 50 | 55 | 60 |
Frenuencv | 6 | 12 | 15 | 18 | 25 | 14 | 10 |
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 |
Identify the following data can be represented in a histogram?
The number of mountain climbers in the age group 20 to 60 in Tamil Nadu.
Identify the following data can be represented in a histogram?
Production of cycles in different years
Identify the following data can be represented in a histogram?
The number of students in each class of a school
Identify the following data can be represented in a histogram?
The number of votes polled from 7 am to 6 pm in an election
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 and the frequency polygon in the same diagram to represent the following data
Weight (in kg) | 50 − 55 | 56 − 61 | 62 − 67 | 68 − 73 | 74 − 79 | 80 − 85 | 86 − 91 |
No. of persons | 15 | 8 | 12 | 17 | 9 | 10 | 6 |
Look at the histogram below and answer the questions that follow.
- How many students have height more than or equal to 135 cm but less than 150 cm?
- Which class interval has the least number of students?
- What is the class size?
- How many students have height less than 140 cm?
Draw a histogram to represent the frequency distribution in question 91.
Show the following data by a frequency polygon:
Electricity bill (₹) | Families |
200 – 400 | 240 |
400 – 600 | 300 |
600 – 800 | 450 |
800 – 1000 | 350 |
1000 – 1200 | 160 |