Question

3. Calculate 2nd decile and 65th percentile to
the following :
*/ 80 100 120 145 200 280 310 380 400 410
15 18 25 27 40 25 19 168 7​

Answer 1

Answer:

2nd decile = 145

65th percentile = 25                                                                                                                                                                                                                                                                            

Step-by-step explanation:

The following table is given as :

80 100 120 145 200 280 310 380 400 410 15 18 25 27 40 25 19 168 7​

At first let us find the number of terms in the table,

Since there are 19 terms present in the table,

So , n = 19

We need to calculate the 2nd decile and 65th percentile of the given above table.

∴ 2nd decile = $D_{2} = \frac{2 \times (n+1)}{10}$

2nd decile = $D_{2} = \frac{2 \times (19+1)}{10}$

2nd decile = $2 \times \frac{20}{10}$

2nd decile = 4 th item from the table

Since the 4th item in the table is 145

So, the 2nd decile will be 145.

Now, we need to calculate 65th percentile;

∴ 65 th percentile = $P_{65} = \frac{65 \times (n+1)}{100}$

65 th percentile = $P_{65} = \frac{65 \times (19+1)}{100}$

65 th percentile = $65 \times \frac{20}{100}$

65 th percentile = 13 th item from the table

Since the 13th item in the table is 25

So, the 65th percentile will be 25.