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प्रश्न
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?
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उत्तर
i) The highest rectangle corresponds to the highest number of literate females, which is in the interval 15-20 years.
(ii) The class intervals are 10-15, 15-20, 20-25,25-30,30-35, 35-40. Hence, the class width is 5.
(iii) The lowest rectangle corresponds to the lowest frequency, which is 320.
(iv) The class mark is the mid-point of the class interval.
Hence, the class mark of each class is as follows:
| Interval | Class Mark |
| 10-15 | 12.5 |
| 15-20 | 17.5 |
| 20-25 | 22.5 |
| 25-30 | 27.5 |
| 30-35 | 32.5 |
| 35-40 | 37.5 |
The lowest rectangle corresponds to the least number of literate females, which is in the interval 10-15 years.
संबंधित प्रश्न
The marks scored by students in Mathematics in a certain Examination are given below:
| Marks Scored | Number of Students |
| 0 — 20 | 3 |
| 20 — 40 | 8 |
| 40 — 60 | 19 |
| 60 — 80 | 18 |
| 80 — 100 | 6 |
Draw histogram for the above data.
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.
Draw histogram for the following frequency distributions:
| Class Interval | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 |
| Frequency | 12 | 20 | 26 | 18 | 10 | 6 |
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 |
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 table shows the investment made by some families. Show
the information by a histogran.
| Investment (Thousand Rupees) |
10-15 | 15-20 | 20-25 | 25-30 | 30-35 |
| No. of families | 30 | 50 | 60 | 55 | 15 |
The following table is based on the marks of the first term examination of 10th class students. Show the information by a histogram. Also, draw a frequency polygon with the help of the histogram.
| Class-mark of marks | 325 | 375 | 425 | 475 | 525 | 575 |
| No. of students | 25 | 35 | 45 | 40 | 32 | 20 |
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.
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 | 1-10 | 11-20 | 21-30 | 31-40 | 41-50 |
| Frequency | 11 | 23 | 30 | 20 | 16 |
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 |
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?
The number of votes polled from 7 am to 6 pm in an election
A graph that displays data that changes continuously over the periods of time is _________
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 |
The following pictorial representation of data is a histogram.
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 |
Draw a histogram for the following data.
| Class interval | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 |
| Frequency | 30 | 98 | 80 | 58 | 29 | 50 |
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 |
