Advertisements
Advertisements
Question
Draw a histogram and a frequency polygon for the following data:
Wages | 150 - 200 | 200 - 250 | 250 - 300 | 300 - 350 | 350 - 400 | 400 - 450 |
No. of workers | 25 | 40 | 35 | 28 | 30 | 22 |
Solution
We represent the class limits on the x-axis on a suitable scale and the frequencies on the y-axis on a suitable scale. Taking class intervals as bases and the corresponding frequencies as heights, we construct rectangles to obtain a histogram of the given frequency distribution.
Now, we take the mid-point of the upper horizontal side of each rectangle. Join the mid-points of two imaginary class intervals, one on either side of the histogram, by line segments one after the other.
Here as the class limits do not start from 0, we put a kink between 0 and the lower boundary of the first class.
APPEARS IN
RELATED QUESTIONS
The number of students in different sections of class IX of a certain school is given in the following table.
Section | IX-A | IX-B | IX-C | IX-D | IX-E |
Number of students | 48 | 40 | 50 | 45 | 38 |
Draw horizontal bar graph for the above data.
Draw a histogram for the following frequency distribution:
Train fare | 0 - 50 | 50 - 100 | 100 - 150 | 150 - 200 | 200 - 250 | 250 - 300 |
No. of travellers | 25 | 40 | 36 | 20 | 17 | 12 |
The following frequency distribution table shows the cost of living in a city in a period of 2years. Draw histogram for this frequency distribution:
Cost of living | 2000 - 2500 | 2500 - 3000 | 3000 - 3500 | 3500 - 4000 | 4000 - 4500 | 4500 - 5000 | 5000 - 5500 | 5500 - 6000 |
No. of months | 3 | 4 | 2 | 5 | 3 | 2 | 4 | 1 |
Draw a histogram for the following frequency table:
Class interval | 5 - 9 | 10 - 14 | 15 - 19 | 20 - 24 | 25 - 29 | 30 - 34 |
Frequency | 5 | 9 | 12 | 10 | 16 | 12 |
Draw a histogram for the following cumulative frequency table:
Marks | Less than 10 | Less than 20 | Less than 30 | Less than 40 | Less than 50 | Less than 60 |
Number of student | 7 | 18 | 30 | 45 | 55 | 60 |
Draw a histogram for the following cumulative frequency table:
Class interval | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 |
Cumulative frequency | 6 | 10 | 18 | 32 | 40 |
Draw a histogram and a frequency polygon for the following data:
Marks | 0 - 20 | 20 - 40 | 40 - 60 | 60 - 80 | 80 - 100 |
No. of students | 12 | 18 | 30 | 25 | 15 |
Draw a frequency polygon for the following data:
Expenses | 100 - 150 | 150 - 200 | 200 - 250 | 250 - 300 | 300 - 350 | 350 - 400 |
No. of families | 22 | 37 | 26 | 18 | 10 | 5 |
Draw a frequency polygon for the following data:
Class | 15 - 20 | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 | 40 - 45 |
Frequency | 5 | 12 | 15 | 26 | 18 | 7 |
Draw a frequency polygon for the following data:
Marks | 5 - 9 | 10 - 14 | 15 - 19 | 20 - 24 | 25 - 29 | 30 - 39 |
No. of students | 7 | 11 | 15 | 22 | 18 | 5 |