Q.
The median from the table
Value
7
8
9
10
11
12
13
frequency
2
1
5
4
6
1
3
is
| Value | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
| frequency | 2 | 1 | 5 | 4 | 6 | 1 | 3 |
Statistics
Solution:
The table can be made as:
x
f
Class
c,f
7
2
6.5 - 7.5
2
8
1
7.5-8.5
3
9
5
8.5-9.5
8
10
4
9.5 - 10.5
12
11
6
10.5-11.5
18
12
1
11.5 - 12.5
19
13
3
12.5-13.5
22
$N =22$
Medlan $=l+ h \left[\frac{ N }{ M }- c \cdot f \right]$
$l=\frac{9.5+9.5}{21}=9.5 h =1 f =4$ and $c \cdot f =8$
$\therefore$ Medlan $=9.5+\frac{1}{4}[11-8]=10.25 \cong 10$
| x | f | Class | c,f |
|---|---|---|---|
| 7 | 2 | 6.5 - 7.5 | 2 |
| 8 | 1 | 7.5-8.5 | 3 |
| 9 | 5 | 8.5-9.5 | 8 |
| 10 | 4 | 9.5 - 10.5 | 12 |
| 11 | 6 | 10.5-11.5 | 18 |
| 12 | 1 | 11.5 - 12.5 | 19 |
| 13 | 3 | 12.5-13.5 | 22 |