What Is The Q1 Q2 & Q3 Of This No. 35, 42,40,28,15,23,33,20,18,28

What is the Q1 Q2 & Q3 of this No. 35, 42,40,28,15,23,33,20,18,28

 

Answer: Q1 is 19.5  , Q2 is 28, Q3 is 36.25

Step-by-step explanation:

1. Arrange the given : 15,18,20,23,28,28,33,35,40,42

2. Use the formula for Quartile for ungrouped data.

Qk = k(n+1)/4

Q1= 1 (10+1)/4

    =11/4 = 2.75

*2nd = 18 , 3rd = 20

* 18+0.75(20-18)

=18+0.75(2)

=18+1.5

=19.5

Q2 is the median

(28+28)/2 = 28

Q3=3(10+1)/4

    =33/4

    = 8.25

*8th = 35, 9th = 40

Q3= 35 + 0.25(40-35)

    = 35 + 0.25 (5)

    = 35 + 1.25

    =36.25