Question

what is the third quartile of this of this data set 14,18,20,21,25,32,40,44,48

Answer 1

Third quartile $Q_3$ = 42

Step-by-step explanation:

Given data

14,18,20,21,25,32,40,44,48

Here n= 9

The median of the data is $(\frac{n+1}{2} )^{th}$ term

                                         $=5 ^{th}$ term

                                         = 25

Therefore the upper half of the data is {32,40,44,48}

Since there is even number of values , we need the mean value of the middle two number to find the third quartile $Q_3$= $\frac{40+44}{2}$  = 42