FIND ARITHMETIC MEAN BY DIRECT METHOD WORKSHEET

Question 1 :

Calculate the Arithmetic mean of the following data by direct method.

x

5

10

15

20

25

30

f

4

5

7

4

3

2

Question 2 :

The following data give the number of boys of a particular age in a class of 40 students. Calculate the mean age of the students

Age (in years)

13

14

15

16

17

18

Number of students

3

8

9

11

6

3

Question 3 :

Calculate the Arithmetic mean of the following data:

x

15

25

35

45

55

65

75

85

f

12

20

15

14

16

11

7

8

Answer 1 :

x

5

10

15

20

25

30

Total 

f

4

5

7

4

3

2

N  =  25

fx

20

50

105

80

75

60

∑fx  =  390

Arithmetic mean : 

∑fx/N

= 390/25

= 15.6

2. Answer :

x

13

14

15

16

17

18

Total 

f

3

8

9

11

6

3

N  =  40

fx

39

112

135

176

102

54

∑fx  =  618

Mean age of the students : 

∑fx/N 

= 618/40

= 15.45 years

3. Answer : 

x

15

25

35

45

55

65

75

85

Total 

f

12

20

15

14

16

11

7

8

N  =  103

fx

180

500

525

630

880

715

525

680

∑fx  =  4635

Arithmetic mean : 

∑fx/N

= 4635/103

= 45

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