Short Answer Type Questions- Statistics Class 10 Notes | EduRev

Class 10 Mathematics by VP Classes

Class 10 : Short Answer Type Questions- Statistics Class 10 Notes | EduRev

The document Short Answer Type Questions- Statistics Class 10 Notes | EduRev is a part of the Class 10 Course Class 10 Mathematics by VP Classes.
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II. SHORT ANSWER TYPE QUESTIONS

Q1. Find the mode of the data:

Marks

0-10

10-20

20-30

30-40

40-50

No. of students

3

12

32

20

6


Sol. Here, modal class is 20–30

f1 = 32, f2 = 20 and f0 = 12

Since, the lower limit of the modal class

l = 20

Short Answer Type Questions- Statistics Class 10 Notes | EduRev
Short Answer Type Questions- Statistics Class 10 Notes | EduRev      [∵ h = 10]

Short Answer Type Questions- Statistics Class 10 Notes | EduRev

Q2. The percentage marks obtained by 100 students in an examination are given below:

 

Marks

30-35

35-40

40-45

45-50

50-55

55-60

60-65

Frequency

10

16

18

23

18

8

7


Find the median from the above data.

Sol. We have:

Marks

Frequency

cf

30-35

10

10 + 0 = 10

35-40

16

16 + 10 = 26

40-45

18

18 + 26 = 44

45-50

23

23 + 44 = 67

50-55

18

18 + 67 = 85

55-60

8

8 + 85 = 93

60-65

7

7 + 93 = 100

 

Here,   Short Answer Type Questions- Statistics Class 10 Notes | EduRev

∴ The median class is 45−50, such that

l = 45, cf = 44, f = 23 and h = 5

Short Answer Type Questions- Statistics Class 10 Notes | EduRev

Q3. Write a frequency distribution table for the following data:

 

Marks

Above 0

Above 10

Above 20

Above 30

Above 40

Above 50

No. of students

30

28

21

15

10

0

 

Sol. Since,

30 − 28 = 2
28 − 21 = 7
21 − 15 = 6
15 − 10 = 5
10 − 0 =10

The required frequency distribution is:

Marks

Number of students

0-10

2

10-20

7

20-30

6

30-40

5

40-50

10

Total

30

 

Q4. Find the median of the following data:

 

Class interval

0-20

20-40

40-60

60-80

80-100

100-120

Frequency

7

8

12

10

8

5


Sol.

 

Class Interval

Frequency

Cumulative

frequency

0-20

7

7

20-40

8

15

40-60

12

27

60-80

10

37

80-100

8

45

100-120

5

50

Total

50

 

 

∵ Median class is 40–60  Short Answer Type Questions- Statistics Class 10 Notes | EduRev

∴ l = 40, f = 12, CF = 15 and h = 20

Since,  Short Answer Type Questions- Statistics Class 10 Notes | EduRev
Short Answer Type Questions- Statistics Class 10 Notes | EduRev

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