Question

Find P40 for the following data showing runs scored by a batsman in his 20 innings. 32, 28, 47, 63, 71, 09, 60, 10, 96, 14, 31, 148, 53, 67, 29, 10, 62, 40, 80,54


please answer if you know the answer....​

Answer 1

32 runs

Explanation:

Arranging the Given 20 numbers in ascending order, we get:

09 , 10 , 10 , 14 , 28 , 29 , 31 , 32 , 40 , 47 , 53 , 54 , 60 , 62 , 63 , 67 , 71  , 80 , 96 , 148

P40 would indicate that 40% of the runs scored by each batsman is below the P40 mark

P40 (40th percentile) = $\frac{40}{100} \times 20$ th observation = 8th observation = 32

Hence, P40 = 32 runs