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Maharashtra State BoardSSC (English Medium) 10th Standard

SSC (English Medium) 10th Standard - Maharashtra State Board Question Bank Solutions for Algebra

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Algebra
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In the following table, the investment made by 210 families is shown. Present it in the form of a histogram.

Investment
(Thousand Rupees)
10 - 15 15 - 20 20 - 25 25 - 30 30 - 35
No. of families 30 50 60 55 15
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

Time alloted for the preparation of an examination by some students is shown in the table. Draw a histogram to show the information.

Time (minutes) 60 - 80 80 - 100 100 - 120 120 - 140 140 - 160
No. of students 14 20 24 22 16
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

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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?
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined
Show the following data by a frequency polygon.
Electricity bill (₹) 0 - 200 200 - 400 400 - 600 600 - 800 800 - 1000
Families 240 300 450 350 160
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined
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
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

Find the correct answer from the alternatives given.

No. of trees planted by each student

1 - 3 4 - 6 7 - 9 10 - 12
No. of students 7 8 6 4

The above data is to be shown by a frequency polygon. The coordinates of the points to show number of students in the class 4-6 are . . . . 

[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

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
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

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

 

 

[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

The following table is based on the marks of the first term examination of 10th class students. Show the information by a histogram. Also, draw a frequency polygon with the help of the histogram. 

Class-mark of marks 325 375 425 475 525 575
No. of students 25 35 45 40 32 20
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

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.

[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

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
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

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
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

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
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

Draw the Histogram and hence, the frequency polygon for the following frequency distribution: 

House Rent (In ₹ per month) 400-600 600-800 800-1000 1000-1200
Number of families  200 240 300 50
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

The marks scored by students in Mathematics in a certain examination are given below :

Marks Scored Number of Students
0 - 20  6
20 - 40 9
40 - 60 14
60 - 80 16
80 - 100 5

Draw histogram for the above data.

[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

Represent the following data by histogram:

Price of Sugar (per kg in ₹) Number of Weeks
18 – 20 4
20 – 22 8
22 – 24 22
24 – 26 12
26 – 28 6
28 – 30 8
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

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
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

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
[6] Statistics
Chapter: [6] Statistics
Concept: undefined >> undefined

Complete the following table by writting suitable numbers and words.

Sr.No FV Share is at MV
(1) Rs 100 par ...
(2) ... premium Rs 500 Rs 575
(3) Rs 10 ... Rs 5
[4] Financial Planning
Chapter: [4] Financial Planning
Concept: undefined >> undefined

Mr.Amol purchased 50 shares of Face Value Rs100 when the Market value of the share was Rs 80. Company had given 20% dividend. Find the rate of return on investment.

[4] Financial Planning
Chapter: [4] Financial Planning
Concept: undefined >> undefined
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Maharashtra State Board SSC (English Medium) 10th Standard Question Bank Solutions
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