Question

find the median of the following
data x 5 6 7 8 9. f 4 5 6 7 9 7 ​

Answer 1

Answer:

x f C. F.

5 7 7

6 8 15

10 15 30

12 13 43

13 9 52

15 8 60

2

N

=

2

60

=30

Thus,

2

N

=C.F. of x=10

∴ Median=The value of x corresponding to the C.F. whose value is 30 is x=10

∴ Answer is 10.

Answer 2

ANSWER:-

x f fixi

5. 4. 20

6. 5. 30

7. 6. 42

8. 7. 56

9. 9. 81

Total 31. 229.

$\frac{fixi}{fi}$

$\frac{229}{31}$

Mean = 7.38

Median

x. f. c.f.

5. 4. 4.

6 5. 9.

7. 6. 15.

8. 7. 22.

9. 9. 31.

N = 31

N/2 = 15.5

Required mean is 7. Answer.