Advertisements
Advertisements
Question
Draw histogram and frequency polygon on the same graph paper for the following frequency distribution
Class | Frequency |
15-20 | 20 |
20-25 | 30 |
25-30 | 50 |
30-35 | 40 |
35-40 | 25 |
40-45 | 10 |
Solution
Class | 15 20 | 20 25 | 25 30 | 30 35 | 35 40 | 40 45 |
Frequency | 20 | 30 | 50 | 40 | 25 | 10 |
Classmark | 17.5 | 22.5 | 27.5 | 32.5 | 37.5 | 42.5 |
Scale - on x axis : 1 cm = 5 units and y axis : 1 cm = 5 units
Histogram : -
Frequency Polygon curve : -
APPEARS IN
RELATED QUESTIONS
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 | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 |
Frequency | 12 | 20 | 26 | 18 | 10 | 6 |
Draw a histogram to represent the following data:
Monthly salary (in Rs) | Number of teachers |
5600−5700 | 8 |
5700−5800 | 4 |
5800−5900 | 3 |
5900−6000 | 5 |
6000−6100 | 2 |
6100−6200 | 3 |
6200−6300 | 1 |
6300−6400 | 2 |
Find the lower quartile, the upper quartile, the interquartile range and the semi-interquartile range for the following frequency distributions:
Marks | 25 | 30 | 35 | 40 | 45 | 50 |
No. of students | 6 | 15 | 12 | 10 | 18 | 9 |
Draw a histogram for the following frequency distribution.
Use of electricity (Unit)
|
50 - 70 | 70 - 90 | 90 - 110 | 110 - 130 | 130 - 150 | 150 - 170 |
No. of families | 150 | 400 | 460 | 540 | 600 | 350 |
Draw the histogram for the following frequency distribution and hence estimate the mode for the distribution.
Class | Frequency |
0 - 5 | 2 |
5 - 10 | 7 |
10 - 15 | 18 |
15 - 20 | 10 |
20 - 25 | 8 |
25 - 30 | 5 |
Total | 24 |
Identify the following data can be represented in a histogram?
The wickets fallen from 1 over to 50th over in a one day cricket match
Construct a histogram from the following distribution of total marks of 40 students in a class.
Marks | 90 − 110 | 110 − 130 | 130 − 150 | 150 − 170 | 170 − 190 | 190 − 210 |
No. of Students | 9 | 5 | 10 | 7 | 4 | 6 |
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 |
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 height of a rectangle in a histogram shows the ______.
The number of people owning books more than 60 is ______.
The number of people owning books less than 40 is ______.
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?
The below histogram shows the number of literate females in the age group of 10 to 40 years in a town.
- Write the classes assuming all the classes are of equal width.
- What is the classes width?
- In which age group are literate females the least?
- In which age group is the number of literate females the highest?
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 |
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 |