English

The following frequency distribution table shows marks obtained by 180 students in Mathematics examination. Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 No. of students 25  x 30 2x 65 - Algebra Mathematics 1

Advertisements
Advertisements

Question

The following frequency distribution table shows marks obtained by 180 students in Mathematics examination. 

Marks  No. of students
0 – 10 25
10 – 20  x
20 – 30 30
30 – 40 2x
40 – 50 65

Find the value of x. Also draw a histogram representing the above information.

Graph
Sum

Solution

25 + x + 30 + 2x + 65 = 180

3x + 120 = 180

3x = 180 − 120

3x = 60 

x = `60/3`

x = 20 

Marks  No. of students
0 – 10 25
10 – 20  20
20 – 30 30
30 – 40 40
40 – 50 65
Total 180


shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Set 1

RELATED QUESTIONS

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?


The histogram below represents the scores obtained by 25 students in a mathematics mental test. Use the data to:

  1. Frame a frequency distribution table.
  2. To calculate mean.
  3. To determine the Modal class.


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.

  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?

The following table shows the classification of percentages of marks of students and the number of students. Draw a frequency polygon from the table.
Result (Percentage) 30 - 40 40 - 50 50 - 60 60 -70 70 - 80 80 - 90 90 - 100
No. of students 7 33 45 65 47 18 5

The age groups and the number of persons in the age groups, who donated blood in blood donation camp is given below. Find the measures of central angles to show the information by a pie diagram.

Age group (Years) 20-25 25-30 30-35 35-40
No of persons 80 60 35 25

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

 

 


Number of workshops organized by a school in different areas during the last five years are as follows:

Years No. of workshops
1995−1996 25
1996−1997 30
1997−1998 42
1998−1999 50
1999−2000 65

Draw a histogram representing the above data.


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

Draw histogram and hence 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

Following table present educational level (middle stage) of females in Arunachal pradesh according to 1981 census:

Age group Number of females
(to the nearest ten)
10 - 14 300
15 - 19 980
20 - 24 800
25 - 29 380
30 - 34 290

Draw a histogram to represent the above data.


Distribution of height in cm of 100 people is given below:

Class interval (cm) Frequency
145 - 155 3
155 - 165 35
165 - 175 25
175 - 185 15
185 - 195 20
195 - 205 2

Draw a histogram to represent the above data.


(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?

Production of cycles in different years


Identify the following data can be represented in a histogram?

The number of students in each class of a school


Draw a histogram for the following data.

Class Interval 0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60
No. of students 5 15 23 20 10 7

The height of a rectangle in a histogram shows the ______.


Histogram shows the number of people owning the different number of books. Answer the question based on it.


The number of people having books more than 20 and less than 40 is ______.


Look at the histogram below and answer the questions that follow.

  1. How many students have height more than or equal to 135 cm but less than 150 cm?
  2. Which class interval has the least number of students?
  3. What is the class size?
  4. How many students have height less than 140 cm?

Draw a histogram to represent the frequency distribution in question 91.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×