English
Maharashtra State BoardSSC (English Medium) 10th Standard

The table below shows the yield of jowar per acre. Show the data by histogram. Yield per acre (quintal) 2 - 3 4 - 5 6 - 7 8 - 9 10 - 11 No. of farmers 30 50 55 40 20 - Algebra Mathematics 1

Advertisements
Advertisements

Question

The table below shows the yield of jowar per acre. Show the data by histogram.

Yield per acre (quintal) 2 - 3 4 - 5 6 - 7 8 - 9  10 - 11
No. of farmers 30 50 55 40 20
Graph
Advertisements

Solution

The given classes are not continuous. Converting into the continuous classes, we get

Yield per acre (quintal) Class (continuous) No. of farmers
2 - 3 1.5 - 3.5 30
4 - 5 3.5 - 5.5 50
6 - 7 5.5 - 7.5 55
8 - 9 7.5 - 9.5 40
10 - 11 9.5 - 11.5 20
 
The histogram for the above data is given below:
shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Statistics - Practice Set 6.4 [Page 153]

RELATED QUESTIONS

Draw the frequency polygon for the following frequency distribution

Rainfall (in cm) No. of Years
20 — 25 2
25 — 30 5
30 — 35 8
35 — 40 12
40 — 45 10
45 — 50 7

The following is the frequency distribution of waiting time at ATM centre; draw histogram to represent the data:

Waiting time
(in seconds)
Number of
Customers
0 -30 15
30 - 60 23
60 - 90 64
90 - 120 50
120 - 150 5

Draw a histogram for the frequency table made for the data in Question 3 and answer the following questions.

(1) Which group has the maximum number of workers?

(2) How many workers earn Rs 850 and more?

(3) How many workers earn less than Rs 850?


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 

Observe the following frequency polygon and write the answers of the questions below it.

  1. Which class has the maximum number of students?
  2. Write the classes having zero frequency.
  3. What is the class-mark of the class, having frequency of 50 students?
  4. Write the lower and upper class limits of the class whose class mark is 85.
  5. How many students are in the class 80-90?

Below is the histogram depicting marks obtained by 43 students of a class:
(i) Write the number of students getting the highest marks.
(ii) What is the class size?


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 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  6 12 18 24 30 36
Frequency 8 12 15 18 25 7

Construct histograms for following frequency distribution: 

Class Interval  110-119 120-129  130-139  140-149  150-159 
Frequency  15 23 30 20 16

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 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

(Use a graph paper for this question.) The daily pocket expenses of 200 students in a school are given below:

Pocket expenses
(in ₹)
Number of students
(frequency)
0 - 5 10
5 - 10 14
10 - 15 28
15 - 20 42
20 - 25 50
25 - 30 30
30 - 35 14
35 - 40 12

Draw a histogram representing the above distribution and estimate the mode from the graph.


Identify the following data can be represented in a histogram?

The number of votes polled from 7 am to 6 pm in an election


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


The total area of the histogram is _________ to the total frequency of the given data


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

The graphical representation of ungrouped data is ________


The graphical representation of grouped data is _________


The given graph with a histogram represents the number of plants of different heights grown in a school campus. Study the graph carefully and answer the following questions:

  1. Make a frequency table with respect to the class boundaries and their corresponding frequencies.
  2. State the modal class.
  3. Identify and note down the mode of the distribution.
  4. Find the number of plants whose height range is between 80 cm to 90 cm.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×