1. Calculate Quintile-2 from the following grouped data

X	Frequency
0	1
1	5
2	10
3	6
4	3

Solution:

`x`	Frequency `f`	`cf`
0	1	1
1	5	6
2	10	16
3	6	22
4	3	25
---	---	---
	`n = 25`	--

Here, `n = 25`

`"Quintile"_2 = ((2(n+1))/5)^(th)` value of the observation

`=((2*26)/5)^(th)` value of the observation

`=(10.4)^(th)` value of the observation

`=2`

---

2. Calculate Quintile-2 from the following grouped data

X	Frequency
10	3
11	12
12	18
13	12
14	3

Solution:

`x`	Frequency `f`	`cf`
10	3	3
11	12	15
12	18	33
13	12	45
14	3	48
---	---	---
	`n = 48`	--

Here, `n = 48`

`"Quintile"_2 = ((2(n+1))/5)^(th)` value of the observation

`=((2*49)/5)^(th)` value of the observation

`=(19.6)^(th)` value of the observation

`=12`

---

---