Advertisements
Advertisements
Question
Draw a histogram for the daily earnings of 30 drug stores in the following table:
Daily earnings (in Rs): | 450−500 | 500−550 | 550−600 | 600−650 | 650−700 |
Numbers of stores: | 16 | 10 | 7 | 3 | 1 |
Solution
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 the corresponding frequencies as heights, the rectangles can be drawn to obtain the histogram of the given frequency distribution. The histogram is given below:
APPEARS IN
RELATED QUESTIONS
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.
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 |
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 |
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?
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 |
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 |
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?
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 |
Construct histograms for following frequency distribution:
Class Mark | 6 | 12 | 18 | 24 | 30 | 36 |
Frequency | 8 | 12 | 15 | 18 | 25 | 7 |
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 Interval | 10-20 | 20-40 | 40-60 | 60-80 | 80-100 |
Frequency | 9 | 17 | 15 | 20 | 14 |
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 |
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 |
The total area of the histogram is _________ to the total frequency of the given data
A graph that displays data that changes continuously over the periods of time is _________
The marks obtained by 50 students in Mathematics are given below.
(i) Make a frequency distribution table taking a class size of 10 marks
(ii) Draw a histogram and a frequency polygon.
52 | 33 | 56 | 52 | 44 | 59 | 47 | 61 | 49 | 61 |
47 | 52 | 67 | 39 | 89 | 57 | 64 | 58 | 63 | 65 |
32 | 64 | 50 | 54 | 42 | 48 | 22 | 37 | 59 | 63 |
36 | 35 | 48 | 48 | 55 | 62 | 74 | 43 | 41 | 51 |
08 | 71 | 30 | 18 | 43 | 28 | 20 | 40 | 58 | 49 |
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 |
In a histogram ______ are drawn with width equal to a class interval without leaving any gap in between.
The table given below shows the runs scored by a cricket team during the overs of a match.
Overs | Runs scored |
20 – 30 | 37 |
30 – 40 | 45 |
40 – 50 | 40 |
50 – 60 | 60 |
60 – 70 | 51 |
70 – 80 | 35 |
Use graph sheet for this question.
Take 2 cm = 10 overs along one axis and 2 cm = 10 runs along the other axis.
- Draw a histogram representing the above distribution.
- Estimate the modal runs scored.