Question

find p40 for following 10 ,15 8,16,19,11,12,14,9​

Answer 1

10.6

Explanation:

Arranging the Given 9 numbers in ascending order, we get:

08 , 09 , 10 , 11 , 12 , 14 , 15 , 16 , 19

P40 would indicate that 40% of the given numbers are below the P40 mark.

Total number of numbers given are 9

P40 (40th percentile) = $\frac{40}{100} 9$ th observation = 3.6th observation

The P40 lies between 10 and 11

Hence, P40 = 10.6

Answer 2

11  represent p40 in 10 ,15 8,16,19,11,12,14,9​

Given:

• 10 ,15 8,16,19,11,12,14,9​

To Find:

• p40

Solution:

10 ,15 8,16,19,11,12,14,9​

Step 1:

Arrange data in ascending order

8 , 9 , 10 , 11 , 12 , 14 , 15 , 16 , 19

Count of number is  N = 9

Step 2:

Find ordinal rank n for p40

$n=\left\lceil \dfrac{N \times p}{100} \right\rceil$

$n=\left\lceil \dfrac{9 \times 40}{100} \right\rceil$

$n=\left\lceil 3.6 \right\rceil$

n = 4

$\left\lceil x \right\rceil$  = least integer greater than or equal to x  ( celling function)

Step 3:

Note the 4th data in  8 , 9 , 10 , 11 , 12 , 14 , 15 , 16 , 19

11  represent p40

$\left\lceil \dfrac{n \times p}{100} \right\rceil$