CBSE Class 10 Mathematics Statistics Worksheet Set I

CBSE Class 10 Maths Worksheet - Statistics (8). Students can download these worksheets and practice them. This will help them to get better marks in examinations. Also refer to other worksheets for the same chapter and other subjects too. Use them for better understanding of the subjects.

STATICTICS

(i) Assumed Mean method or Shortcut method

Mean =

= a +

Where a = assumed mean

And di= Xi - a

(ii) Step deviation method.

Mean =

= a +

Where a = assumed mean

h = class size

And ui= (Xi – a)/h

 Median of a grouped frequency distribution can be calculated by

Median = l +

Where

l = lower limit of median class

n = number of observations

cf = cumulative frequency of class preceding the median class

f = frequency of median class

h = class size of the median class.

 Mode of grouped data can be calculated by the following formula.

Mode = l +

Where

l = lower limit of modal class

h = size of class interval

f1 = Frequency of the modal class

fo = frequency of class preceding the modal class

f2= frequency of class succeeding the modal class

 Empirical relationship between the three measures of central tendency.

3 Median = Mode + 2 Mean

Or, Mode = 3 Median – 2 Mean

 Ogive

Ogive is the graphical representation of the cumulative frequency distribution. It is of two types:

(i) Less than type ogive.

(ii) More than type ogive

 Median by graphical method

The x-coordinated of the point of intersection of ‘less than ogive’ and ‘more than ogive’ gives the median.

LEVEL – I

Slno

Question

1

What is the mean of 1st ten prime numbers?

2

What measure of central tendency is represented by the abscissa of the point where less than ogive and more than ogive intersect?

3

If the mode of a data is 45 and mean is 27, then median is ___________.

4

Find the mode of the following

Xi

35

38

40

42

44

fi

5

9

10

7

2

5

Write the median class of the following distribution.

Class

0-10

10-20

20-30

30-40

40-50

50-60

60-70

Frequency

4

4

8

10

12

8

4

6

The wickets taken by a bowler in 10 cricket matches are as follows: 2, 6 ,4 ,5, 0, 2, 1, 3, 2, 3 Find the mode of the data

7.

How one can find median of a frequency distribution graphically

8.

What important information one can get by the abscissa of the point of intersection of the less than type and the more than type commulative frequency curve of a group data

LEVEL – II

Slno

Question

Ans

1

Find the median of the following frequency distribution

Height in cm

160-162

163-165

166-168

169-171

172-174

Frequency

15

117

136

118

14

167

2

Given below is the distribution of IQ of the 100 students. Find the median IQ

IQ

75-84

85-94

95-104

105-114

115-124

125-134

135-144

Frequency

8

11

26

31

18

4

2

106.1

3

Find the median of the following distribution

Class interval

0-10

10-20

20-30

30-40

40-50

50-60

Frequency

5

8

20

15

7

5

28.5

4

A class teacher has the following absentee record of 40 students of a class for the whole

term.

No. of days

0-6

6-10

10-14

14-20

20-28

28-38

38-40

No. of students

11

10

7

4

4

3

1

Write the above distribution as less than type cumulative frequency distribution.

5

Using the assumed mean method find the mean of the following data.

Class interval

0-10

10-20

20-30

30-40

40-50

frequency

7

8

12

13

10

Ans

27.2

6

Name the keyword used for central tendency

Mean , median , mode

LEVEL – III

SN

Question

Ans

1

If the mean distribution is 25

Class

0-10

10-20

20-30

30-40

40-50

Frequency

5

18

15

P

6

Then find p.

P=16

2

Find the mean of the following frequency distribution using step deviation method

Class

0-10

10-20

20-30

30-40

40-50

Frequency

7

12

13

10

8

25

3

Find the value of p if the median of the following frequency distribution is 50

Class

20-30

30-40

40-50

50-60

60-70

70-80

80-90

Frequency

25

15

P

6

24

12

8

P=10

4

Find the median of the following data

Marks

Less Than 10

Less Than 30

Less Than 50

Less Than 70

Less Than 90

Less Than 110

Less Than 130

Less than 150

Frequency

0

10

25

43

65

87

96

100

.

76.36

5

Compare the modal ages of two groups of students appearing for entrance examination.

Age in yrs

16-18

18-20

20-22

22-24

24-26

Group A

50

78

46

28

23

Please click the link below to download CBSE Class 10 Maths Worksheet - Statistics (8)